Aerostatic Lift of Helium and K Hydrogen in the Atmosphere

Transcription

1 NCAR-TN/IA-69 Vt 5> Aerostatic Lift of Helium and K Hydrogen in the Atmosphere J. C. WARREN / A': J. H. SMALLEY A. L. MORRIS December 1971./ ft.' 'v NATIONAL CENTER FOR ATMOSPHERIC RESEARCH /Y?o / Boulder, Colorado,/ )

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3 iii PREFACE An understanding of the buoyancy of light gases in the atmosphere is often essential to individuals involved in the use of balloons for scientific experiments. The purpose of this report is to provide a simple and accurate method of making buoyancy calculations of lift gases. A table is included which gives pertinent model atmospheric data when the use of real atmospheric data is unnecessary.

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5 v CONTENTS Preface iii I. INTRODUCTION II. BUOYANCY OF LIFT GASES... 2 III. PRESSURE, TEMPERATURE, DENSITY, AND HEIGHT IN THE ATMOSPHERE... 5 IV. PROPERTIES OF THE U.S. Standard Atmosphere, V. DEVIATIONS FROM THE U.S. Standard Atmosphere, VI. SAMPLE PROBLEMS TABLE References... * 79

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7 1 I. INTRODUCTION A TabZe of Atmospheric Properties for Lifts of HeZium and Hydrogen was prepared in to provide a ready source of information about the lift of helium and hydrogen gases in air. Since then the TabZe has been used by balloon designers, by those who plan and fly scientific balloon flights, and by scientists whose experiments are flown on balloons. The TabZe of Aerostatic Lift of HeZium and Hydrogen in the Atmosphere, presented in this report, was subsequently developed: the original report was expanded to include lower pressures than were previously available and data were added to give mass of air above specified pressure levels. A discussion of the buoyancy of lift gases is presented in Sect. II; the relationships among pressure, temperature, density, and height are discussed in Sect. III. In Sect. IV the properties of the U.S. Standard Atmosphere, 1962, are discussed and equations are given for generating the values of Cols. 1-4 of the Table. Section V touches on deviations from the standard model atmosphere and Sect. VI presents examples of the use of the Table. The variables presented in Cols are more general than those in Cols. 1-5 and are valid in any atmosphere in which the mixture of atmospheric gases has the same molecular weight as air, and in which the pressure-to-temperature ratio in the lift gas and in the atmosphere are the same. That ratio must also be equal to the ratio of pressureto-temperature given in the Table. Although these restrictions are not particularly limiting to either the balloon designer or the scientist, the balloon flight crew must keep them in mind. Prepared and reproduced by the Scientific Balloon Facility, NCAR, December 1967.

8 2 II. BUOYANCY OF LIFT GASES Archimedes' principle states that if a body is submerged in a fluid, a force equal to the weight of the displaced fluid will act in an upward direction, tending to support the body. (buoyancy) is expressed as In ballooning, this force B= W - (1) a g where B = the buoyant force or lift W = the weight of air displaced by gas a W = weight of displacing gas g W gp V and W = gp V, where g is the acceleration due to a ag g gg gravity, pa and p are the densities of the air and gas, respectively, and V is the volume of the gas. The volume of the gas is very nearly equal to the volume of the displaced air and is used in its place in the equation for W. a Equation (1) may be written B = gvg(p a - pg) (2) Rearranging Eq. (2) B = gvgpa - (3) Then, from the equation of state, PM P RT (4) pt

9 3 we have / P T M \ B= g B = a 1 PvgaT M g (5) a g a where P = pressure M = molecular weight T = absolute temperature R is the universal gas constant and the subscripts a and g refer to air and gas, respectively. Equation (5) becomes B = gv p (6) -Ma if P T /P T - 1. g a a g Although this condition is rarely fulfilled exactly and the assumption that V = V is not always justified, Eq. (6) is nevertheless a good a g enough approximation to be very useful in ballooning, and it involves variables which can be determined in either real or model atmospheres. To determine the buoyancy of a unit volume of gas in air, both sides of Eq. (6) may be divided by V, giving / M \ b = gpa - (7) a in which b is specific buoyancy. Finally, the mass that can be lifted by a unit volume of gas in air is obtained by dividing both sides of Eq. (7) by g. Thus m -Pa b - Ma g (8)

10 4 The values in Col. 8 of the Table were computed for pure hydrogen having a molecular weight of in an air environment with a molecular weight of This was done by substituting the air density values given in Col. 6 in Eq. (8). The values in Col. 9 were similarly computed from Eq. (8) using a molecular weight of for helium. The values in Col. 10 were computed by multiplying corresponding values in Col. 9 by the constant x 10-2 to convert kilograms per cubic meter to pounds (mass) per cubic foot. Column 7, "gas expansion," consists of values of the ratio PSTP/P in which p is the density on the corresponding line of the Table and PSTp is the density of the air at standard temperature and pressure (15 C and mb, respectively). Gas expansion may be viewed as the volume that a mass of gas occupying a unit volume at standard temperature and pressure would occupy if its density were changed from PSTp to p. The values in Cols are generally applicable in an atmosphere in which the molecular weight of the air is The molecular weight of the air in the earth's atmosphere varies only slightly below 90 km; this variation is due chiefly to the variation in the proportion of water vapor in the air and is not important to scientific ballooning.

11 5 III. PRESSURE, TEMPERATURE, DENSITY, AND HEIGHT IN THE ATMOSPHERE Atmospheric pressure is a measure of the weight of the atmosphere above the level of observation in a column of air having a unit crosssectional area. At higher levels, the pressure is less than at lower levels since there is less mass above. Atmospheric pressure is a function of height, and the two are related through the hydrostatic equation dp = -g adz (9) a a where Z is geometric height. Sect. II.) (The other symbols are as defined in Since g is a function of Z, it is common practice to simplify Eq. (9) to dp = -g padh (10) a oa in which go is a defined constant and H is the geopotential height. the sea level value of g is used as g, H differs from Z by less than 1% at all atmospheric levels that are of interest in scientific ballooning. The two heights are related as follows: If dh = (11) dz go If pa is a known function of H, Eq. (10) may be integrated to yield P as a function of H. Normally, however, in making atmospheric sounda ings, T and P are measured at all levels and H must be calculated. a a Combining Eqs. (4) and (10) gives R T dh dp (12) gma P a o a a If T is known as a function of P (as it normally is from sounding a a data), Eq. (12) can be integrated to yield H as a function of P. The

12 6 density, p, may also be calculated from these data and substituted into Eq. (8) to yield the mass that a unit volume of gas will support as a function of height and pressure. A scientist who plans to fly an experiment on a balloon usually specifies the height or pressure at which the experiment is to be flown and provides information on the mass of the experimental equipment. The balloon designer then determines what the volume of the balloon must be. Since he cannot know precisely what the distribution of pressure and temperature will be in the real atmosphere in which the balloon will fly, he uses an assumed distribution such as that of the U.S. Standard Atmosphere, 1962 (which is almost exclusively used in the United States for scientific balloon design and planning purposes). The values in Cols. 1-5 in the Table were derived from the U.S. Standard Atmosphere, 1962 (as explained more fully in Sect. IV). Because that model atmosphere is a fair approximation of the real, mean atmosphere in middle latitudes, the Table provides good working values for most scientific ballooning needs. The density values (Col. 6) are consistent with the pressure values (Col. 1) and the temperature values (Col. 5), but any combination of pressure and temperature having the same ratio of P /T as those on a given line in the Table will yield a a the density value found on that line. Thus, although the values in Cols are arranged so they can be readily used with the U.S. Standard Atmosphere, 1962 (described by the data in the first five columns), they are not uniquely determined by pressure or temperature in the real atmosphere.

13 7 IV. PROPERTIES OF THE U.S. STANDARD ATMOSPHERE, 1962 The U.S. Standard Atmosphere, 1962, can be described as a model atmosphere in which temperature, acceleration due to gravity, and molecular weight are defined as functions of height, and in which sea level pressure and the essential physical constants are specified. It is specifically defined up to 61,000 geopotential meters (gpm) as follows: (a) The air is a dry gas devoid of moisture, water vapor, and dust, and it obeys the perfect gas law. (b) The air conforms to the following definitions of physical constants: Sea level air density p = kg/m 3 = lb/ft 3 Sea level temperature T = 15 C = 59 F = K = R o Sea level pressure, P = mb = x 105 newtons/m 2 0 = lbf/ft 2 Sea level acceleration due to gravity g = m/sec 2 = ft/sec 2 Sea level molecular weight M = kg/kg-mol Universal gas constant R = x 103 J/ K(kg-mol) (c) Temperature varies with geopotential height up to 61 gpm as shown in the following table.

14 8 Base to Top Temperature at Base Temperature Pressure Density of Layer Gradient at Base at Base (gpm) (K) ( C) dt (mb) (kg/m 3 ) 0-11, ,000-20, ,000-32, ,000-47, ,000-52, ,000-61, Equation (12) can be solved for the U.S. Standard Atmosphere, 1962, to yield a one-to-one correspondence between P and H. Let P be the ~a a pressure and T the temperature at a given level within a layer, PB and TB the pressure and temperature at the base of the layer, H the geopotential at the base of the layer, and L the temperature gradient in relation to the geopotential (i.e., L'= dt/dh). Since L' is constant within each of the layers of the U.S. Standard Atmosphere, 1962, the temperature within each layer may be written Ta = T + L ' H-H) (13) which, when substituted into Eq. (12), gives dp dh R a TB + L' (H-H) gom P (14) *DB B -oa a This may be integrated to yield TPB BL R/goMa H = HB (15) H~~~ =a,/, ;

15 9 for layers in which L' 0 and RT P H=H B B B + Zn (16) 0o a a for layers in which L = 0. Equations (4), (13), (15), and (16) and the data which define the standard atmosphere were used to calculate the values for pressure, temperature, density, and gas expansion in the Table. These values were used in turn to calculate the helium and hydrogen specific lifts. The data in Col. 2, "integrated air mass," is the mass of air in kilograms in a column of air having a cross-sectional area of 1 m 2 and extending from the pressure surface shown in the first column upward to space; it is valid only in the U.S. Standard Atmosphere, A general method for calculating integrated air mass for any atmosphere in which pressure is known as a function of height is given by Morris (1970), who also derived the following empirical relationships: m = 10 P a x 10-3 log Pa (17) P = 0.10 m /( x 10-3 log 0 Ma) (18) Equation (17) was used to calculate the data in Col. 2.

16 10 V. DEVIATIONS FROM THE U.S. STANDARD ATMOSPHERE, 1962 The U.S. Standard Atmosphere, 1962, is a defined, constant atmosphere and since the real atmosphere is highly variable, the two may be expected to differ markedly at times. Numerous supplementary atmospheres have also been defined, each providing a guide to.the state of the real atmosphere at some particular latitude and season. For the purpose of this report, density is the variable of primary interest. Figure 1, from U.S. Standard Atmosphere Supplements, 1966, provides a means of obtaining a factor which may be applied to the density value as given in the Table to determine a value more appropriate to the season and location in the real atmosphere. The factor is given as a function of height in Fig. 1 and can therefore be used with the Table to obtain a density-height relationship corresponding to that of a supplementary atmosphere. However, the corresponding pressure and temperature values from the Table will not be in consonance with those of the supplementary atmosphere.

17 N N. \ 45 N. I - Io II I I I Ia Cold I Annual January July J July 'January 50 t - I t \ 1 r t \ I Q \ wa \ m / 40 I < /o_ 'S i \--} DEPARTURE (percentage) N. January July 30 - / Mean t Co ol\ / IWarm o / DEPARTURE (percentage) Fig. 1 Percentage departure from standard of densities of certain nonstandard atmospheres given in U.S. Standard Atmosphere Supplement, 1966.

18 12 VI. SAMPLE PROBLEMS 1. Determine the altitude in the U.S. Standard Atmosphere, 1962, at which a balloon system having a gross mass (GM) of 2,721 kg and a volume (V) of 1 x 106 m 3 helium. Now will float when the balloon is inflated with GM V m where m is the mass that a unit volume of helium must lift. Note that GM is the gross mass of the balloon system excluding the mass of the lift gas but including that of the balloon; m is then x 10-3 kg/m 3. Column 9 of the Table lists m values of E-03 and E-03, corresponding to geopotential height values of 41,231 and 41,391 m. The solution of the problem is provided by linear interpolation of these values, which yields 41,366 m. 2. Determine the volume of a helium-filled balloon required to support a gross mass of 6,000 lb at a height of 135,600 ft in the U.S. Standard Atmosphere, From the relationship used in Example 1 GM m Substitution of the value given for the gross mass and the value of m found in Col. 10 of the Table corresponding to a height of 135,600 ft, gives V = 6000/ x 10-4, or approximately 35.2 x 106 ft Another method for determining volume is to multiply the gas expansion factor for the desired height by the product of the gross mass and the volume of gas required to support a unit mass at sea level (i.e., ft 3 /lb) x x = 35.2 x 106 ft 3

19 13 4. The terminal velocity of a parachute at any level, v, may be compared to the terminal velocity at any other level, v, by means of 2 the following equation: v =v /p in which p /p is the ratio of the air densities at the two levels. 2 1 Usually the parachute selected will give an acceptable terminal velocity at sea level. The gas expansion factor is then the density ratio needed for computing terminal velocity at any other density level. For example, compute the terminal velocity at 2.5 mb in the U.S. Standard Atmosphere, 1962, of a parachute system which has a terminal velocity of 22 ft/sec at sea level in that atmosphere. It is v = = 415 ft/sec 5. A balloon system that would float at 40,067 m in the U.S. Standard Atmosphere, 1962, will float at what altitude during July at Oslo, Norway? Oslo is located at 60 N. From the Table, the density at 40,067 m is found to be x 10-3 kg/m 3, which is also then the density of the balloon system. We must determine the altitude at which such a density occurs at Oslo in July. The actual altitude at which such a balloon system will float at Oslo cannot be determined unless the air density there is known as a function of height at the time of the balloon flight, but it can be estimated as follows. From Fig. 1, using the graph for July at 60 N, the percentage departure at 40 km is about +13%. Since the density is greater than standard, the balloon system can be expected to float at a higher level. Density at this higher level in the U.S. Standard Atmosphere, 1962, is given approximately by x 10-3/1.13 = x 10-3 where 1.13 is one plus the decimal departure from standard.

20 14 Using the Table, the density at 40,903 m is found by interpolation to be x 10-3 kg/m 3. Now the percentage departure at 40,903 m should be determined and if it is very different from the departure at 40,067 m, the procedure just followed should be repeated using the new departure. In this case the iteration is not warranted, and 40,903 m is accepted as the most suitable estimate of the float altitude that can be obtained using the aids given in this document. Statistical data based on observations made over a period of years at Oslo would provide a better estimate, but it would be fortuitous if the actual float altitude on any particular day should agree precisely with any a priori estimate we might make.

21 TABLE OF ATMOSPHERIC PROPERTIES AND LIFTS OF HELIUM AND HYDROGEN BASED ON GEOPOTENTIAL ALTITUDE SI (SYSTEME INTERNATIONALE) UNITS BASED ON U.S. STANDARD ATMOSPHERE, 1962 (LIFTS ARE BASED ON GRADE A HELIUM AND PURE HYDROGEN) H,n US STD ATM LAYERS ARE AS FOLLOWS, BASE TO TOP OF LAYER DEG K BASE DEG C TEMP GRADIENT P (AT BASE) DENSITY (BASE) 0.0 TO H METERS DEG C/H M MBS KG/M TO H METERS DEG C/H M MBS KG/M TO H METERS DEG C/H M MBS KG/M TO H METERS DEG C/H M MBS KG/M TO H METERS DEG C/H M MBS KG/M TO H METERS DEG C/H M..590 MBS KG/M TO H METERS ,0040 DEG C/H M..182 MBS KG/M TO H METERS *0000 DEG C/H H..010 MBS KG/M3

22 (1)....._._..(2) (3) (4) ( _.5_...)... (6).(.6..(_7) _ -- _ 8) -- ( 9.._J_--( P I.NTEGRATED H T RHO 0 GAS LIFT H2 H- LIEL JiE -- u.lift_e_ (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E _6 9E+ _..._9.._,.1 t I D F _072E _ -9_6_ E+.00.i.97?2_ 1,, E E E E E _..070E _ 16.8 _ E E E E P-69E E E E E E i E E E E E+04 _-2_53-83_0 _ 6_._. 2550E _i.1677e E E E _ E+00._ E 00.0_807E E tE+.0._978_ E E E-02 l_04_1 O_.063E E _ E_O_... _ 9E QO _ _ 1._062E E E+_ E+0_ E _ 1.061E E i631Et00O E E _8. _.060E+O4 _-204 _ E _. i622e _E E-02 _ 1037 _..05_9E E E00 1._0_757E0_0. 6_.7_151_ E E E E E i.5 7E_...057E E E E E * 0 56E E E E E-02 10_3_ E E E+00 i.0723e E E E E E E E E E E E E+04^ E E E E TO 1030

23 (1) (2) (3) (4) (5)(6) (7) (8)(9)(10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E, E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E, E E E E E E E E E E E E E E E E E E E E E E _90E-02_ E E i E E E E E, E, E E E ,2218E E+00 i.0529e+00.6._5732e TO 1010

24 (1)... (2)_... (3) (4) _ (5.). (6).._ (7) (8) (9) P - INTEGRATED._ T... RHO.. GAS LIFT H2 LIFT KE... LIFTHE (MB) (KG/M2)_.. (.) (FT) _(DEG C) (KG3 ) (KG/M3).G/M3) (LF l0._32et_ _ _ E E+00 i.0529e+o.6.._t32e- _ _._031E+0_4. _ , E+_ E E+00 _567_9E-_ E _ _ E , E+00_.0512E '626E _ 1._029E E E E F-_O E E E E E-02 10_ E ? E E+00 1,0487E E E E E+00 i.0479e E g025E E E QE+0Q 6,53._3E-& Et q E E Q462E f-02 _ E ,2130E E E E-02 0o E E E E E _ 1. 1,02_1E E E E E E E E E E E E E E+00 6,5Q6_ E T E+00 1, E E+00 6,4993E E E E E E E* E E E E o E E E E E E E E E E E E E E E E E E E E TO 990

25 (1) (2) (3) (4) (5) (6) (7) (8) (9) (0O) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E E E E E E E E E E Et E E* E E E E E E E E E Et E E , E E E E E E Et E E E E E E E E E E E E E E E E E E E E E E E , E E E E E E E E E E E E E+00 6,3987E-OZ E E EI E E E E E E E E E E E E E E E E E E Et E E E E E E E E E E EI00 i. 0190E E-02_ 990 TO 970

26 ( 1 ) (2) (3) ( 4 ) 5) (6) (7) (.. _ ll P INTEGRATED H..T RHQ. GAS LIFT_2 LIFT E. LIFT.. (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3).. (KG/M3). _/3) _(LB/FT E E+O t2E+OQ D. _19QEt*Q 6..61S6E-Q E E+00 1._ E E+00.6,3_53E-Q E E E Et0O E E E E E E E E E E E E E E E E E E E E E E E E E E E E E EO00 6.3l91E E , E E E+00 6,337E E E E Eo E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E* E TO 950

27 (1) (2) (3) (4) (5) (6) (7) (8) (9) (101 P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3 _, E E E+00 1,00O0E E-Q E E E lIE E-OZ E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E z E E E E-02 H E E E E E E q E E+00 9*9257E E E E E E-01 6,1911E E E E E 'E E E E E E E E E E E E E E E E E E E+0QO E-01 6*1644E E E E E E E ,1438E E E E E E E E E TO 930

28 ( _.)... ) 1(2) (3) ( 4.) (5)_..... (6) (7_).. (... 8) (9) P INTE GRATED H _. T RHO GAS -- _ H EL H -L-f.E - IE.. (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) _(KG/M3) (KG/M3) (LB/FT3) E _ 1 28E E E+00 10,28 _ _, E E E E E E _1399E+00 10,1_ i.0605e E-0_ E E E E E E ,05 1,1379E E E E _._44_2E_ E+00 i078._0_5_77.e+..7_9_ze_.._ E i...3_5_9_e+0_ _.. 058E_+ 0. _,.7_886E-L_.._6118 Z E , E+00 _ 1, E _00QE E /412E _ _3_9E _ E E E+03 _ 8_07 264_ 9i_376.. _ 132.._. E0 1._O, _540E_ E _,. Q9L E _319E E E-01 6, 0893E _8 9_..381E _ ,1309E i.. 522E E01 917_ 9.37-_-1E_+0 3_ E _.0512E_+00 9_,.7370E-0_ _Q _2_ E E E E E-02 9_15 _ E E E E-01 6_0679E ,340E+03 9_... _ E E E E E E E E E E , E+00 1, E E E _E E E E E i 9 299E , E+00 1, E E-01 6 O4 OE TO 910

29 (1) (2) (3) (4) (5)(6) (7) (8) (9).(10 P INTEGRATED H T RHO GAS LIFT H? LIFT. HE...LIFT..E (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) _LB/FT3) Et E E E D E E E E-01 6, E E E E E E ,1199E E E E E E E E E E E E E E E E E E E E E E E E E E E E Q E E E E E E E E+00 9,5906E E E E E E r8 -_. _ E E E E-Oi 5_9764E._OZ E E E E OE-JL E E E E E E E E E-01 _5_9603T E E E E-01 5._9549-Q _ E E E E E E E E+00_ E-01_ 5,944_E_ E E+00 i E+00 9_ _5 Z-_ E E E E-01 5,9333E TO 890

30 ._... (1... (2) _ (31.) _ (4.-_ (5)..-,, 6) _ P-_ -- INTEGRATED H. 0 T ---- GAS _- -_LIEI1FH2-_-----A - LIFTJ-HE_ LL E. (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) Et _ E E _+_0_0_-_ --- 5,2-_ E , E E E E E E E E QL E E E E E E E E E-01 5,9063E _ 9.034Et _ E+ O_ E _!4523F_ E _ 7_.55.., _8E+0O._1l _..._19-6E±+Q-. 4._9_-4_li _.-_ E' E E E E-O. 881 _ 9.004E _ E E E _8a4_-Q 880 _ Et E+00, 1._1_2 _ E E-01 _,_8792.g _ E E E E E E E E E-01i E E E+00 _ l _40E E QE-0_ E* E E E E E E E E E E E E E-01 5o8468E E E E E E E E E E E E E E+00 9*3396E E E E E E E TO 870

31 (1) (2) (3) (4) (5) (6) (7) (8) (9) _(10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIfT. H (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3),,(KG/M3).(L/FT E* E E E-01 5, E E E E E-0_ E Et E E E E E E E E E E E E E E E E E E-O2_ E* E E E E E E E E E Et Et E E E-02 _ E E E E E Et Et E E E E E E E-01 _5.765E-gZ_ E* E* E E E E E E E-01 5.,5-45E-D E E E E E E E E E-01 5._7436E-_ E E E i7E _2E-02_ E E E E E E E E E-01 57?23E E E E _E _ -Z_ E E E E E _.... _. _ 870 TO 850

32 (1) -(6) -(4)... (2) (3). / (5) ( ).. ( C P INTEGRATED - H T HO GALIFI_ LI H LIET_ H EL-. I_ T. (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E O626E00..._ 1.A_ E , E E E E E E E _ E E /84E E E E E E E E E E , E-O1 _ E i.50555e E L E Et E E E i- 8_596E _ E E E E E+. 0_ E E-O1 6_6_ E E+00 _ E E E E E+00 _ i.166_ 9._7729E E E E ,0494E+00 _ _9.7635E E E E00 _ E E E E _ _ f_._ l.0474e E E E _E+03 16_ E E E E E E E E E E+0._ * E *.7162E E E E_ _ E E E E E _ E* _ E E E TO 830

33 (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3). (L/F.T E E E E-01 5,6073E E , E E E E E E E E E E E E E E E E+00 1, E E E E E E E E E E E E E E E E E-01 5,5689E E E E E E-O2_ E E E E E0-Z E E E E-01 5,5525E E E E E--01, 5.54,7E-Z 818 8,361E E E E _15E E E E E _3DQ -D E E E E E E E E-01 _8.850_3E-01 _5.5251E-0Z_ E E E E-01 5._.5196E-02_ E _ E E-01 _8.8327E E E E E-0qi 8._8239E E E E E-01 8_.8151iE- 1_55_50Q31t E I9E+00 _ E E E O 81.

34 (2) (3) (4) (5) (6) (7) (8) (-I) -- _-J_ <^>-_--- _-<^L L- - _. il -, _J L GAS. -<7-^----,-- A)-LI T -' L-F-T-JIF JLF -' _I_.NTEGRATED... H T RHO GAS LIFT H2 -LF E- LIFI.. (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT31 81_-0 8._280E E E [--_ _5_.A9. 80P9 _ 8.269E E _9_5E-J01...5_,-9- -P_ E E E E E ,249E _2.79 _.0188E E E-0.. 4I E E E E E E E E E E E E E E E _._208E _5 _ E + 00 _.1207_,.._ALE_--O. -.._._-_ t-2_ E E E E-01 5,4536E E E E E-_01 5._4481E-8?f _ o E E E-0P E E E E E E _ 8.157E _ E E E E _ E E E E _5_,426_O E E E E-01 5,4205E E+03 _ E E E E E E E E E E E E-01 8o6563E E E E *3362E E E E E E E E E E E-01 _ E E TO 790

35 (1) (2) (3) (4) (5) (6) (7) (8) (9) (0) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE. LIT. HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3)._ (F... _B/F _ E E E E E-f E E E E E-D E E E E E E E E E E E E E E E E E E E-01 5,3598E-0? E E E E E E E E E-01 5,3487E E E E E-01 5,3432E E E E E E E E E E-01 5,3321E-2O E E E-01 8,5324E-01 5,3266E E E E E E-P E E E-01 8,5146E _55E E E E E-01,_ 5_3100E E E E E-01 5._344-_,l_ E E E E-01 5._2989E-_ E E E E E E E-01i.4702E-_01, E-_ E E E E-O 5,~Z3E-z E _.34_ E-01 _ _ E E-01 5,2767E TO 770

36 .(21 ) (( 3) () (7) (5 ) ( )..._ (8 8). U.. P P. I N_ TG RA TELfPI H _A G A L.. L H_ IIQW - 2 E L I (HB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) _ 7.872E E-01.49_ 9. 25_E- 8L5S-D 5 f- 0_ E E Z._ E- l 8EO 4 - [ E " E E E E E E-.13.1,_1253 9_Q 9 9_1 9 Dq_._8_ Q E E E E E E E E- 0i g _0E +t03 _ 2319_ 7607 _ E-O_ E-2_ 1.257_ 9 E-_ OE _ _ l.9l 238E-_2_ E E-01 _ E E E E E ,_90392E-0 8,3724E-0L _ 7 770E E- 1 1, 262 _._ E-0_1 8,335.-j. 5 Z1.E-.2._ E _ E-01, 264_ E E E E E _ E E Zl QE-4Z_ E E _0007E-01 3_36 EE-O1 8_ Z2Q04E E E E E E E , E-01 * ?9814E E E-2 754_ 7.708E+03 2_424.._ E E E E E E E E E E ? E E-01. _8.2921E_-01 _5.1766E E+03._ E E E E E E E E E ~~~~~~. TO 750. _

37 (1) (2) (3) (4) (5) (6) (7) (8) (9) (i0) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E E E-01 5,0165E E E E E E E E E E E E E E E E E E E E E E E E E-01 5,1375E-_ E E E E E-g E E E E E E E E E ?8E E E E E E E E E E E E E E E-01 5,1.Q.4QE E E-01 t E E E E E E E Z8E-DZ E E E E E E E E E _16i-,_ E E E E-01 5.Q760E_-02, E E E E E E E E _E-01 _5.0648E E E E-01 8_.1041E Z-_ E E E E E TO 730

38 ... _ (1) (2) (3) - (4+) (5) (6) (7) (8) ( Li...PR.... INTEGRATED H T RHO GAS _.. _ t[ L..-LM....LIJE._.- IFTE... (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/NM3) (LB/FT3) 73_u_ EE E E ,50 9,3832E-Oi _Q...E E E-O_I E ,57 9,3728E-01 1,307 8,7205E-01 8,0772E E E ,.64 9._3_624E-01 1._3_ E E E E E-01 8*0592E E E E E E E _- ^7.402E ,...O_...o3_13 1_-._9.33.O1..._ E _2E E E q46-2, E-1 _,_8.6719E _1 0_ E , E E E E E E E E _ ,2893E _8.6_428E E E E E E E-01 4o9919E E * 3 - E L E-01 _ _6233E E-01 4o 9863E _-_ E+_03 _3, E-01 * E E ,321E q2475E E-01 7,9692E E E E E E E E E E E E ,290E E E E-01 4,9581E _ 7.280E_+0_ E E E E L.270E E E E E-0_2_ E E E E E TO 710

39 (1) (2) (3) (4) (5) (6) (7) (8) (9) (10. P INTEGRATED H T RHO GAS LIFT H2 LIFTHE.. IFT.... E. PRESSURE 'AIR M-HAS-S -.GEOPOT6ENTIAL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M 2) (M) (FT) (DEG C) (KG/M3). (KG/M3) (KG/tM3) (LB/FT1._ E E E-01 7,9151E E Ei' E E E E E E E E E-0,2_ E E E E E E E E E E E E E E E E E E E E E E E E-01 4,9017E-fl E E E E-0! E E E E E _[E--0_ G E E E E-01 4, 84 8E-ZL 699 7,147E E E-0 7._856E EQ E E E E _ E E E E E E E E E E E E E E l_ E E E E E E E-01-i o3794E E E E E E-1? E-01 4*.8395E E E E E E E E E E TO 690

40 _ (2) (3) (4 ) (_5).[.._. 6_1... _..._ P... _ N_rR._P. H H _...Lf TJF T... (GAS L.T_IT LJFIJE. PRESSURE AIR MASS GEOPOTENTIAL ALT TEHPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/H3) (KG/M3) (LB/FT3) E E-9 _1 _5.._D -.&, -_,_ EP E. -_-_ j-_.-E-- O..1- _._ E E E E E _025E E-01 t1.370., -2_ E , E E-01 7,6977E-01 4.,8055E-O E E E-01 7,6886E E E E A-_2_---1_ Z^^E.2 -- _7_9_F _T94_E-_ _6.8- ^ 3 6_._ E+03,------,-, E_±OJ 3_2_0_5_-_--_ _0_ 8_8 E--Q1 1.17_. 6 8 ~E... -~I II]E-_i E E E E E0 4828E E E _ _I3 0E-, -I' J--_ ,9_54E±.0. 3_ E E _ -_ l L E ,8586E-01 1* E-01 7,6341E-01 4,7658E E E E E E E E-01 1,._ E-01 _ E * E E E E E _ E-01 1, E E E ,892E E E E-01 4,7373E-02_ 673 6,882E E E E E ,872E _846E-01._ E E E-02 67^1-6, 8 _ 6 2 E , 3 0_^969-6_ E-01 1,_ E iE E E E E E E TO 670

41 (11) (2) (3) (4) (5) (6) (7) (8) (9) (10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG_/M3)_. LBLFL3L E E E E, Ea E E E E E E E E E E E E E-01 7,5246E-01 4.,6975E E i E E E E E E E E-01 4,6861E E E E E E E E ,0844E E E E E E E _-E E E E E-0O 4,6632E E E E E E-, E E ,0449E E E E E E E E E E E E-A E E E-oi E E E E E E-, J E E E E E E *l_ E E E E E E E E-0t 4.611E E E E lE M E E E E-Oi 46003E TO 650-

42 t 1) -. (2) (3) ) (5) _(6) (7) _ -Lf18- _9)_0._ P !Ii-T G P ---- Iff IE_ -T_T_-- H H T HO T -L2 E-T_--- 1L--..- L_ HE LTHE EI_ _ (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) _64_7EP a _.6L-.02 -_-4337t55 --OJ 7 Ia69.-i _ E*t _ E_-I _J E E E E E-OZ 647 6*.617 E E E f-1 4,583._-_!_ E E E E E E E E-01 7,3230E E E E E E E-O E E-01 _1.l E-01 7 E Q-A E E E E E E E-0..._1_ E E E _ E E E Q_ E E E E E-OZ E E E E-01 _4.5314E-02_ 637.5E +03 _ _ E E-01_._7.2494E-0_1 4,55.E-2_ E E E E E E E E-01_ E-01 4*5141E E E E E-01 4._5084E E E E E E _ 6464E E E E E E+03' E E E E E E E E E TO 630

43 (1) (2) (3) (4) (5) (6) (7)(8)(9) (10 - P INTEGRATED H T RHO GAS LIFT H2 LIFT...HE LIFT..E.. PRESSURE AIR M-' ASS GEOPOTENTIAL ALT T YEXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (_)_ (FT) (DEG C) G(KG/M3) (KG/M33) (KLBGL_ E E E E E-D E E E E-0i 4,4796E-DZ E E E E E E E E-01 7,1571E E E E E E E E E E E E-_ E E E E E E E E E E E E-01 1, E E E ,352E E E-01 7,1016E E E E E E Z?76E E E-01 7,0831E-01 4,4218E-_2_ E E E E E-_ E E E E i02E E E E E-01 4_4044E ,290E E E E-01.4._398_7'E -_ E E E E E E E E E E E E E E-01_ E E ii E E E _5_a E _ '.5570E E TO 610

44 ) - (2) (3) ) (---- ' (5) (6) (7) (8) (9). 1 L P -- INTEGRATED H T RHO GAS _LI E. LIFT H2- LFIJIE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) 610 _6.239E E- 01 _1.508 _ 7,557.-D._-96 -_ E E _._ Is,,IJ3 -Z E E E E E E , E _71_7-_l E E E E E E E E E E E _ E _968E-O_ 1 _6.i43_7-4I.._ E E ,0468E-0. 5Z a 7,,_.486_E,--_ _4 1..4, a E-Z E E E E E E _ _0252E E E-0_1 4_374- o E E E E-01 4._3116E-0Q E E-l E E E E _ E-01 1._ E-01 _6.8878E E E _ E _ E E-0A E , E E E E E _ E-01_ _ 4062E E E-2_... _594 _6.076E _ E-Ot E E E E E o3860E-01 6e8412E E E E E E E _ 6.045E E E E E E E E-01 6e8131E E-02 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ TO _...

45 (1) (2) (3) (4) (5) (6) (7) (8) (9) 10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (K-G/M3) (LB/F.3) _ E E E E E E E E-01 6,8038E E-DZ E E-01 1, E E E-Q E E E E-01 4,2358E E , E E-01 6,7757E E E E E E E02, E E E E E E E ,2850E E E-Q E E E E-01 _4,2-5E-_02_ E E E E ? E E E E E-Z E E E E-01 4 E.i_9E_ E E E E _E E E E E-01 4, 1773E-g E E E E E E E E E _65_5E_-_2_ E E E E-01 4._1597E-02_ E E E 6653E E E E E E E- 0_1_ E-02_ E , E ,1633E E E E E-01 _ E E TO 570 _

46 -( - -_1. (2) ) (3) (4) (5) (6) _ J_ P _ IN_- T G R A T ED - T H _L.E '-...I. I. -H- _....E -.. G--- X.E (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3). (KG/M3) (LB/FT3) E E E-_ 6,5-Q1 I._,.i3ET E E _74. M-._S_-g-_-....J. 1-E-_.32_ E E E E E E _10?.-' E E E E-_ E E ?.1125E E E E _ E E E E _ E E E E E JE _ E-D _ E _E--_ E E E E E E _ E-01. _ E-01 6o5407E E+03..? E E--0 _. 6'5312E I E _ -' E E E E E E E E E E E _.0208E E E E E E E E E E E E-01.0O478E E E E E E E E E E E E+I E E E E E E E E-01 4.*0242E E ? E E E E TO 550

47 (1) (2) (3) (4) (5) (6) (7) (8) (9)... P INTEGRATED H T RHO GAS LIFT H2 LIFT HE... IF_T_HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3)(KG/M E E-i i E E E E E E E , E E E E-O E ,596E E E E E E E E E E E E E E _7E-0_ E E E E E E E E E E E E E E E-0_2 -I> E E E E E E E E E E-Q E E E E E E E E E E-02_ E E E E-01 _3_.9'12-O- _ E E E-01 _ E E E E E E E E E E E-01 _3.9233E E E E E E Ei E E E E- E E E E E-01._3._90_55E E E E E E TO 530

48 (i) l _. (2) (3) HT_._-_--_-_ (4) L_------_-_ (5). (6) L,_ (7) -G ,, [ j NT_EQ-_ALLITHp. E HT----P--- (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) 53_ E E-0 _ E _.9_ _ 52_2373E-_Oi b69 3._6.7EE- DJ E E E E E-0; E _._ E E E E E E E E E E E E Et E E E-O01 F-_ 3_ E E-01.9_._._ E E E E E E E E E _0 5_.3_21E+_ _ E E ' 01 3._ E _ E ,6304E E E *300E E-01-1_ E E E e290E i7_ E _6.6097E-01 6'1221E E E E E E E E _ E E-P E E E+03 29E ,0707E E E E E E E E E _ E E *5578E iE ?79 9E E ,0373E E E E E E _5371E E E TO 510

49 (1) (2) (3) (4) (5) (6) (7) (8) (9).I1... P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIEFT.HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M31 LB/FlL_ E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E-0Z E E E E E-7Z E E E-01 5,9875E-01 3,7379E-1f E E E E E-O E E E E E-Q E E E E-01 3,7198E_ E E E E E E E E E E E E E E-0i.. 7_QZL-D E E E E E E E E-,Oi E-O _97L E E E E-01 _3.6836E E E E01 _ E i E E E-01 _5.8812E-01_ E E E E E-01 3I E-DZ E _ --22t E-0 1 _- _ - 801_ E E E TO 490-

50 --J -)- (2) -(3) (4) ( _ 5--) )_ ) ( p INTE RATED -----E- H...-- T.. _ G.--_ I L L.FTJ_ L E (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) -49_ E _._6_ _ E E-01 1t E-01 _ZE-.._[._ 5. 8 ' E E E E E _~487 4 *.984E _ 22_ _4E-_ _2973E E ,9_73E ,7572E E E E E E E-01 5,8134E E-02 ~~ --~--c L~r~^. _ _- ^A /484 4.^.-I---. 4,953E+03 4.* ^ ^A ^^ ^ _--~ L-~~--~-----~ E L~I---~-- 1, E E-01 _Qj - I E _.943E+!03 -^ E-... _65.793/E_ _89.25E E E E E E-02 /481 /4,922E _ 6, 700SE-01, E-01 5_7745E /+912E E-01 1,831 _6.2239E-O_ i-0-3J E ,6783E E E E E+0' * E-01 i, E E E-02 /477 4_.882E _ E E E _E , 871E E-01 _1, E E E-02 /475 /+4.861E E E E E E E ,1609E-01 5*7064E E E E E E E ,831E E E E E E , E E E-01 3_.5/4+1E E , E E E E TO 470

51 ) (2) (3) (4) (5) (6) (7) (8) (9)..... P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFTHE (MB) '(KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3).(KG/M3) A...L I E E E E E E E E E E-0Q F E E E E-0_ E E E E E E E E E E E E E E-_ E-_02_ ,749E E E E E-0_ E E E E-01 3,4953E E E E E E E E E E E-02 n E E ,0131E E-01 3,4769E E E E _5597E E E E E E E E* E E E-01 3l,4586E-8-2._ E E E-01 _5.5303E-01 _3.452E E E E-01 5,5205E-gi 3-44kE-_0_2_ E , E E E _02E E E E-01 5,5008E E ,626E E E E-_ E E E E E-_ 1 _ E E E E E TO 450

52 () (2) (3) (4) (5) (6) (7) 7 i --- Ul P N I TGRATED H -T RHO.--- Q_-A----. LIFH2... F..._LIFT A-E_ LJ[I. E-,_ (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) _5_ EP+03._,? p12 1_ E- 5_._3EI-_..EI E* E-Oi E E E i6E E _44Z, 4_.5Z5_ E E^ _ 2 2J9_71, r E-01 1_.94_ 0 _ 8 I85IF-j._-507_ 5t, 1E-_A1.. _~_I E E E E E E+Q E ,8538E E-01 3,3849E _4 4_._545E E _E _534E+tO E E E E E-01 3,3664E E _ E E E E E _ E E E OE-O E _ E-_01 _._ E E E _ E- 01 _1.972 _5.7792E E E-02 _437_ 4*.473E+_ _ 2761 _ E _ 5,7685_E--01 5_.3429E E _ E E E E E E _5_._7471E-01i E E-01 3_, 434_ E _ 2._ E-01 i E E E E E E E E E+03 6 _ i E E E E E E ,7043E E E E E E E E TO 430

53 (1) (2) (3) (4) (5) (6) (7) (8) (9) (101 P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/_ l... LBTEL.TL E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E-2O E E E E E E E E E E-Q E E E E E-Q E E E E E E E E-01i E E-0_ E E E-01 5,1441E-01 3t.32_lJ3E E , E E E E E E E E E E E E-01 5.ii41E-Oi E E E E- 01._ 5O.1041E-01 _3.1864E E E E E E E E E iE f E _79E-01 2_ _4781E-o E E TO 410

54 . _.(1). )- (2) (3) (4) (5) (6). _. (7) -. (8 9,_--P_-!_I P INTEGRATED E---- E _T.H H _-- T_. T.. _..LELTJF &O O._. JA_SA_.. L.- _ IFT E--L UFl-H-M -L LFI _L E L3 (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/H3) (LB/FT E _ -q E _4_ - 5t... 40_0 _-D 16z _ _187E E-01 _6E--_ _3_- Q -_ I E E E E E-02 _ _67E+03 _ _3171_ E E E E E E E E E E E E E _ 4.136E _ E-01_ E E-01_ 3._30 j-_ _5,86E _ _ 064E-_1 9 1.E-0 21_ E E E E E E+03_ 7_ iE _ E E-0.31 EQ o E+03 7_85 78 _. 235_74_ _ E-O1 2.12,3_ E _ _._ 9E-9_l E _ -31_ E-0i,, E E E _ E_03 _ _-31._ E E-01i _4.9534E _ E E ,371E-01 _4.9434E-01._3, j.qe-_ E * E E-01 4,9333E-01 3,0797E _ 4.044E +03_ 7274 _ E E-, E-01 _ _ E E E-01 _ E E E E E E E E E E E-01 3_.0545E E E E E-0i E-02 _ E E E-01 _4.8727E E _.... TO 390

55 (1) (2) (3) (4) (5) (6) (7) (8).(9) ( ) -... P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) _(M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/)3(KG ) (LBl/ET E E-01 2, E-01 4,8727E E E E E E E Et E E E E E E E E E E E E E E E E E-01 4,8220E-01 3,01.03_ E E E E-01 3,0040E-IZ E E E E-0i E E E E-01 4,7916E E-Z E E E E E E E-01i ii52e E E-f E E i403e-oi 4.761tE ZZZE E E E E-0i 2,9659E E E E E-01 Z9595E D E E E-01 4 Z7305E-01 2*9532E E E E E _ 2 63Oi E E E E E-01 _2_94o_05E-_2_ E E E E E E E :0632E E-O1A- 29_277E E E-D E E-0i1._ E _5..4. _ 18_3E-_1_ E-O E E-02 _ 390 TO 370

56 . J (... 2_L )- (3.) (_-)- -- (6) J5) - C 7) --- _-- (8) 9..--) f >,_ i I_NTIRA_._T_EP-- S... H. _.-L _ AS I_._- -E.LI (MB) (KG/M2) (M) (FT) (DEG C) (KG(KG/M3) (KG/M3) (KG/M3) (LR/FT3) E _ E I E E , E E E E *.758E _,_ E E ,9970E E E E E E-01 4,6182E E-02 ~-~ E_ _JI E _. 9E E EA- _9-..._._._5_.I&. -J53 --_J_._71_7E-- toj 7A6_5. 25_ 84 9 a E E ,9527E-01 4,5874E E E _3_E E E-01 2._5. 0_ 3_ E _ _2_994E E E-01. 5_ E E ,.9195E E E E _ E-0_ E E E _ E- 2.32_ F E E E E E E E _ E _8751E E E-0_ E E E E E E _ ?2158E E E E E E E E E E _ ,63 5*1919E E E E E E-01 2, E E E TO 350

57 (1) (2) (3) (4) (5) (6) (7)(8) (9) (10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG1/M3. LBLFT E ,1799E E E-01 2,7867E E E E E-01 2,7803E E E E E-O E-0_ E , E E E E E E E E E E E E E E E E-01 2, E E E-0O E E E-O E E E E E E E E E E E E E E E E E E E E E E E E E E E E* E E E E E E E E-01i E E E E-01_ 4,3083E-0 2._6896E_-_ E E E-0 4, 2979E-01 _2._6831E.E E E E-01,.2875E E E ,9631E E-0, E-01_ E E E E E-1_0_...- O E E E E E TO 330

58 -- _ L _-(3)- (2) (4) (5) (6), _ (7) (8) ( P INTEGRATED H T,_- RHO GA_ _._-T J~Z... LI_M_-E _-_HE-_ -- (HB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/3) (K M3) (L/FT3) E E _ ,370E _-40,52 4,93268E _E-_01_..4._5_ E E E E E E E E-01.. _0.[_ 2 O, ;, E E E E E E E E E E-02 3_ E E E E-01 _E_ E _33 _ E- 01 2,52 4.5E E , E E E E E ,60. _ E- 01 _.2.._5_ E i9E E _ E_ E-O1 451E- -_ E _ _8052E E E E E E E E E _47E E , 4.448_0_E-Di.Q_ 4_,199E ' 2 2._ F E , E E-01 4o1094E E ,227E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E TO 310

59 (1) (2) (3) (4) (5) (6)(7)(8)(9)(10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT E E E E E E E E E E F E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E-01 2, E E E E E-01 2, E E E E E E E E-02_ E E E E-01 2_.398E ,032E ,5226E E E-01 2._4331E E E E E E E E E E E E E E E E E E E E ,64E E E E E-01 _2.3998f.-Q_ E E E-01_ E E. 310 TO 290

60 _( (3) (4) (5) (6) _I_... (7) L-.... I----_.-----P-.-- I N _NTEDP.. '_L.._._......H S _ E- -._-_E (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E-01._2, E-01.._ _1 3.gl _961E E _E E E E E E E _ E E-O _I_[-_I0_-. - _ E t E E E E E E E E E E _ _. 4.37,36E-0 1_ 2, E-_QJ_._L52.9E-..7_69_-'E 2a - _ OE _-1 9, ,889E E E E E E E-01 _ E- _ F_- 0 33S-2_ E E *4.0227E-O E-0 _.. 36,E-QL_ E E E E E E _ E E E E E _ E , E E *828E E E E E E E E-0i E E E E E E E E E E E E E _ E E E E E E E-01 77E E E E E TO E E-02 _ 290 TO 270

61 (1) (2) (3) (4) (5)(6) (7) (8)(9) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3.) E E-01 2, E E _E-0Z E E E E E E E E E _E-02_ E E E E E E , E E E E E E E-01i E E E E E E-01 2,2178E E E E E E E E E E E E E E E E-O02 i E E E E E E E E E-0i 2., 83-2_ E E E E E E E E E-01 2.L7OIE-Z _ E E E-O E E E E E E E E E E E E E _E E-0J E E E01 3, E-O E-_ E E E-_0 3i._41_3Ei. -_O 2 _5_E- iz_.z,29_ge_-d E E-01_ E E E TO 250

62 ... (1) -... (2) L _-- <3-A_ - -t^jl^^-^ -(3) - - ^ -J(4) - 4 > - - -J5^_-._ (5) -., _(^L (6) (7) (8) () < } ( l - - P IT P-.INTEGRATED H T _L._- RHO.L._I.. GAS L fi.-l_ (MB) (KG/M2) (M) (FT) (DEG C) (KG/N3) (KG/M3) (KG/M3) (LB/FT E ½445E-O , E E E-0O _ E E E E E _._2_.532E _ E E-01 _,3.3_.66 O i,:_ 246 _ E E-Di E E E iiE E E E E E E *585E E-01 2 I_ 08Q _49_E ,8549E ZQ_ E E E E-01 2,0669E _24_ E+03 O _ E ,3.5626E E-k_ * 4 60E E_ *5507E E-0 1._ ,450E ,24 3*8034E E E E E E E E E ,429E E _47E E _E-_ E _ E E E E /09E E o4907E E E E E E E E E E E E E E E E E E E E E E E E E E E E TO 230

63 (1) (2) (3) (4) (5) (6) (7) (8) (9) () P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFTHE PRESSURE AIR MASS GEOPOTENTIAL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE (MB) (KG/M2) (H) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT E E E E E E E E E E E* E E E E E E E E E E E E E E E E E E E E , E E E E E E E E E E E E E _ E E E E E E E E E E E E E E E-1Z_ E E E E E E E E E ?2E E E E E-O E E E E E-.0_1 1.85_9-E- 0_ E E E E-01_.851_E E E E E E E E E-qi E-01 _ E-012 _ E E _1_567E E-01 1._._ E * E I1417E OE-Oi E TO 210

64 -,._12 _ (:3) (1_) (5) (7) (8) _... P INTEGRATED H.. L T RHO. -.. LI J L_ I l... (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3)... (KG/M3) (KG/M3) (LB/FT3) E i _ _679-_DI -J E+03 -_ E i26E- 01 2_96_lEJ E E-01 3, E E E E _8._-_ ,3285E E-._,. 9 -_ E E E E E i02E , E E E-01 i.7734e-q E E _1_E_ E-01 2o8268E E +0_ _3 7-_f_,J-.1,_7_...-_._ '3o2642E E ,50 3o2481E E-01i E E E E , 0071E E E E E E-01 1o E o1999E-01 3, E-01 2o7575E-01 1o7215E _030E _ ,1838E E-01 2,7437E E E _7E E E E i 516E-01 3, E-01 2,7160E E _.P00_0E0_ ,13 55E E E E-02 1a-94 1*.989E E-01 3, E E-O E E E E E-01 i16696e E E-01 3,968 2.*8724E-01 2,6605E E _ 1._9_5E _ ,50 3,0712E-01 3, E-01 2,6467E E E , E E E-0i E TO 190

65 (1) (2) (3) (4) (5) (6) (7) (8)9)(11 P INTEGRATED H T RHO GAS LIFT H2 LIFT. -HE.L.IF_... PRESSURE AIR MASS GEOPOTENTIAL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE (MB) (KGIM2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (G/M3) _... _leile E E E E-01 _ _ Et E E E-01 1i6350.E-Z E E E E-01i 16263E ,918E E E E E E E E E E E E-01 4, E E-0 1 L, 6.OE E E E E E-Q E E E-01 2,5358E E E E E E E-_Z E E E E-01 1,5658E-.Z E , E E E-01 i. 551E-_Z E E E E-01 i,54_85-j E E E E E-0_ E E-0i E E-01i E E , E-O E E E E E E E-01i_.._39f-0P_ E E E E-01 1_5052E E _2.78i8E E E E E E E E _E E E E E-01 1_.4.7 9_ E E _481_ E E E TO 170

66 - (1.) _(2) (3) (4) (5) (6) ( L. -p P - INT GR I fgr A T E ED H - D H T T GAS M t LIfl_..LI IE LIEL.tE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG1/M3) (KG/M3) (LB/FT3) E E E E-Q. 1 4._5_._._ 2_,5 3 En _A E E E E E E E E E E E E E E E E E E-02 t E E Q E-_O E E E E E E E-02 16i1 l52e _ _ E-O_1 I E-01_ E-01,_39E- o E E E E E E E E E E E E E E E E E _ E E E E E E E E E E E-01 _1.3408E E E E E E E E E E E E E E-01 2*.1063E E E E E E E E E E E E TO 150

67 (1) (2) (3) (4) (5) (6) (7) (8)(9).... P INTEGRATED H T RHO GAS LIFT H2 LIFT HE... LIFT.HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) :LB/FT E , E E E-01.Z976E-Q E E E E E E E-01 5, E-01 2,0508E-01 1,2803E E E E E E E E E E E E* E-01 5, E E-01._2543E E , E E E-01i E E , E E E-01.23E _0_2_ E E E-01i E E E E E E E E+03 i E E E E-O? E E E-01 1?9261E !-' E E E E-01 i._1_938e-_ E E i E E-01 a.185j.1e-d E+03 i4230 _ E E-01 1,8845E-0_..7 65E i_.385e*03 i E E E- l.i67_j- i. _ E E E E E E+03 i J I386E.0_...5_-I728. i.9898_e- _ E E E E E E E-_ E E E-01 _1.8153E E E E E E E TO 130

68 -(- 1 -_) - (2) (3) (4-) (5) -(6) (7) -- (8)-9) JA--l P INTEGRATED H T RHO L..._.L F L_ GASA _-L...._....- _E----- (MB) (KGIM2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E JE_ E E E E E E E E E+03 _ _ E O0E-0 5._1 E,.9_ E E E E E E E E E E E E E E E-0_ _263E _.9778E q?,F,_tgJ _t 7 _6-_ E E-01 6* E E-01 1.o 0554E E E E E E-02 0'~ 120 *1.232E E E E E E , E-01_ E E E E E E E-01 1.i0208E-02O E /9816._ _8813E i E E _ E E E-01 1o6074E E E E E E E o170E E E E E E E / E E E E E E E E l 0E _ E E E E E E E E E TO 110 O...

69 (1) (2) (3) (4) (5) (6) (7)(8)(9) (10) P INTEGRATED H T RHO GAS LIFT_ H2 LIFT HE.I E.. PRESSURE AIR MASS GEOPOTENTIAL ALT TEMPERATURE AIR DENSITYEXPANSION PURE GRADE A GRADE A (MB) _ (KGtM2) (M) (FT) (DEG C) (KG/M3) (KG/M3).(KG/M3). /FTL E E E E E E E E E E E E E E E E E-01i E E E E E E-01 1,4688E E E E E E-O1 _ E E E E E-01 8._9967E-O_ E E E E-0_1._8_92iZE-.fl_ E E E E E E , E E 1.396E ?1E-.3_ E* E E E Q6E-Q E E E E E E E E-01 _1.3580E-01 _ 8_.4776E E E E E-01 q 8_J_3_9_ ll E* E E-$01 _1._3303E E E E-01. B E E E E E _ E E- 01 8,1316E E i54E E E E E E E- 0.2_74_E _347E E E E L E ?4472E E E E TO 90

70 (1 ) (2) (3) (4) (5) (6) (7) _ _p _ INTIRA. -E..H I_ LLLI E L_1- (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) LB/FT3) _ L. -_ E t1E _ E E E E Z6E E E l 5_16_E- J _ E E E E-0i E E E E E E E E E _._Q E E E E _l--Ql, I E E E E E E E E E E E E E E _ E E E E E E E E E-01 6*7475E E E E E _Qf-_ E E E E E E E l1i220e E E-03 74_ 7.605E E-01 1_ E-01 i E E E E _ E E E E E i E E E _.297E E E E E E E E E E _--..-._ ^

71 (1) (2) (3) (4) (5) (6) (7) (8) (9) _(10). P INTEGRATED H T RHO GAS LIFT H2 LIFT HE.. LIFT... E (MB) (KGH/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (Li_f E , E E E E ,092E E E E _9-fl E E _3E E E E E E E-02 5,7959E-Q E E E E E E E-01 11, E E E E E-02 _8.8685E _FJ-_03_ E E E-02 8,7299E-02 _ 5A499E-l3._ E ,9694E E E E E E E E-02 5, 2_69E-_Q E E E E-02. 5,1.9Q.9E-0Q E E E-02 8,1t756_-_..39E0, E E E E-02. 5_.017_E- D E E E-02 7,8985E-0Z.4... t.939-f ,758E , E E E E-_3_ E E E E fJ E E E E-02,6695E E ,29 _8.5142E E E E E E E-02_ E E E E E-02 _7.0524E E-2_4_ E ,0185E *4605E E TO 50

72 (1) (2) (3) ( 4) (5) (6) _-_-_ (7) _- (8). _1 (9. -P IN E (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) TEGRATE D H T -_O GAS -- L-...._-----LE L E E t 4. 5_-_g _ 9-2 -I_ L 49 5._040E E-0. 2Z-Q E E E E E E _ E _..-_ 5_6 4.-_:. 46 4,.732E ,3591E E E E E _ E E-02 6$200QE E E E-02 17, _t8- -. ZI E _ E , 387- E-DZ _5... 5_F Et E E E E E E E E ji69E-03 o" E , E- Q? E E E-Q E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E _ E E E E E E E E E E E E E E E E E E TO 30

73 (1) (2) (3) (4) (5) (6) (7) (8) (9)(10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE PRESSURE AIR MASS- GEOPOTENTIAL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E-02 25, E-02 4,0845E-02 2, 5499E E E E E E E E E E E E E E E E E ,73 4,0906E E-02 3,5251E E E E E E E ,473E , E E E E E E E E E E E-02 35, E E E-_ E E E E E E E E E E E E E E _35E E E E E E-P E E E E E E E E E-02 _1.3351E E E E E-02 1.i2493E E E E E E E* E E E E E E E E E_-_ E E-02 72, E E-02 _9.079_E E E-02 80, E E E TO 10

74 -... (1) A (2) (3) 3 L - -- (4) L - _ -_ - -<?L (5) _ (6) A, - < (7) 7 L - (8) m - _-_- - _----(9) jio (!o) - - P -- INTEGRATED H ---- T RHO GAS LIFT H2.L ft HE_. -.-.I-.IF_- E].. (MB) (KG/M2) (M) (FT) (DEG C) (KG/H3) (KG/H3) (KG/M3) (LB/FT3) E E E E-02 8 F E E E E _0_ E E E E E l 001E i,4827e E E E E E E E E E E E E E E E E E E E* i.198E E E-02 _6_38_ E , E E E E E ' E E E-02 7o4693E-04 O o E E E-02 l.1829e E E E E E E E _ E E-02 1,1559E E-Ok E E-02 92, E E-02 7.,1315E E E E E E ,777E i E E E E E E E E E E E i1722E E E _8.468E E E E E E E E E E E E E E E TO 8.0

75 (1) (2) (3) (4) (5) (6) (7) (8)(9) (10)... P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (m) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E E E E E E E E E E E E i152E E-04 7, E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E *128E , E E E E E E E E E E E E E E E E E E E * 7 16E E E E E E E E E E-I E * E E E E *407E * E E-03 _7.9190E E-04 6*l 6.304E E E-03 _7.7809E E E *8690E ,12 8*2517E E E TO 6.0

76 -( 1 t- L - -_) (2) (3) (4) (5) (6) (7) (8) (9) (10) -?P -INTEGRATED H T RHO GAS LIFT H2 LIFT HE.._..._ j.. PRESSURE AIR MASS GEOPOTENTIAL ALTf TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) 6,00 6_200E _- _ E , E-03 7,6430E-03 _ 4j o149E ,7890E , E E-03 4.*79.-_. 5,90 6*097E ,15 8,7092E E-03 7,5053E-03 4,6854E E E E E E E ,82 8,5496E E E E-04 5,75' 5.943E E E E E E , E , E E E E _31 8.3_06E E E , E E E E E-04 5,55 5,736E E E E E-04 5, E * E ,5103E E E-04 5, E ,9928E E E E * 5 582E ,43 7*9134E ?3627E E E-04 5,35 5,530E E E E-03 4_2147E E *07 _ E-03 _ E E E *.427E E ,1416E E E E , E , 0681E E E *324E E E E E-04 5*10 5,272E E , E E E-04 5 *05 5*221E E E E-03 3*9596E E E E E E-04 6*0 0 TO 5.00

77 (1) (2) (3) (4) (5) (6) (7) (8)(9(0) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LIFT HE (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB_/F_) E E E E ?E-04 4, E E E E E-04 4, E ,1238E E E E-04 4, E , E E E-03 3,7902E E E E E E E E E E E E E E E E-_O E E E E E-1G E E E E _E- _ ,705E E E-03 5,6660E E-04 F E E E E _51E-_4., 4, E E E E E-04 4, E E E E _112E E ,2627E E E _693E E E E E E-04.4, E ,1071E ,6821E E E-04 4, E , E , E E E E E E E E E E E-03 _ E E E E E E _6E-04, EE E , E E E TO 4.00

78 .. <(1>_lL) _...(2) 4(3)) (5)... (6) (7 ) ---- (8) (9) -_o.j P INTEGRATED H T _-_J -._ RHO GAS LIFT_-. L I (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E _ E E-03 4, 98E-_A - 0_Z E , IE E E E ~90 4^.03q±lA_,AE+01AJ S E < , E E E E E _ -28., E *1057E-03 4*7291E E-O 3 * E E E-03 4,6627E E E E E E-03 2*8694E-04 3, E *2567E ,8909E iE-03 2,8280E-0_ 3 * E E E-03 4,4639E E-O E E E E E *673E _ E E E E-Oq E E E E E ,570E E E E E E E _4* 4 633E-03 4i+1340E-O E-O2 0 3., E E E E E-04 3, E E , E E E E E E E E E E E E-03 2e 4169E-04 3, E E , E E E E E E E E E E E E E _.105E E , E-03 3,6104E-03 2,2539E-O0... 4,00 TO 3.00

79 (1) (2) (3) (4) (5) (6) (7) (8).... 9)_......_ P INTEGRATED H T RHO GAS LIFT H2 LIFT HE... FTE.. PRESSURE AIR MASS GEOPOTENTIL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3)... LB/FT3) 3o E+O E ,8980E E E-_. 2, E E E E E E ,00 4,0387E-= o7576E E-03 2o 728E-04 2, E , E E-03 3o4155E E- 4 2,80 2,898E ,8882E o6176E-03 3,3507E E E E E-03 _3.286iE-03 _ E o795E i E , E E ilE_-04,. 2,65 2o743E E , E-03 3?1570E-03 o 97_08E-4 2,60 2,692E01i 4048i o5886E ,.4 3o3389E E E-04 2, E i3321i ,5140E ,6 3,2694E E E_0 4. 2o50 2o589E ,94 3,4395E , E iE-03 i..:8504e-o_ 2,45 2o537E i ,3652E l31 i0e-03 2, 9000E-03 _ o8104e e485E+0i , E ,2 3o06i9E E-03._77_i. 2,35 2,434E* ,2168E e E E-03 _ E ,382E E E-03 _.2o 784E_-03 1,6908E E , E ,8554E-03 2.'6447E E 04 2, E+O ,9952E E-03 2e5 82E E-l E , E E E E-Q 2o10 2.i75E E e 6500E E E ,i24E E e5818E E-03._ , E ,27 2,7018E ,4 o,5137e E-03 i,4535e'-'04 3,00 TO 2,00 E-_

80 ( U(2) -) (3) (4) (5) - (6) (----- ) ---- (8) --- (9) (3L-- j... P INTEGRATED H T RHO GAS _ LIFT jh... LT fjlel-_- LJ... (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E E E E+t ,.73 2,6288E * 4 458E E E_0i i_ E E E E E E J E E E E E / E E E E E E E E E E E E E E E _.1941E E E- 3, 1-8. rj_ E E E E E E+01 -/44384/ _ E E E E E o j.. -A*-5Jl, l_* J At- L-_ E E E E E _ E E E E E E E E E-05 i *00E E DE E gl_ E E E E E E i E E E E E E E E E E E E E E E E E E E-05 1, EtO_ E , E E E E E E E E TO

81 .. (1) (2) (3) (4) (5) - (6) (2) (7) ^.L (8) (9) (10) P INTEGRATED H T RHO GAS LIFT H2 LIFT HE F IT_..E -PRESSURE AIR - ASS GEOPOTENTIAL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E _ E E E ?E E E i.i1856e E iE E ,2-614E E E E E _ E-03 _ _1.1_616E-03_ E E E E E E E E _8_E *8 _1.1377E E E E+OO E-03 _ E E-03 _- 6503_ E E _1i_37E-._. 03._ E-_0_3... 9_9E-0L E E E E E E E-03 _ E E-03 6._30.E05 u l E E , E E _2 E_ O E E-0 _ ,3.0658E E E E E E E E E E E E-04 6_. 0245E E E E E E E E E E E E E E E E E '83E E E E E E E E-04.5,678E E E E E-04 _5.6090_E-0_ E E E E-04 _55317E TO.80 _

82 (12).... (3) 3) (4) (5) (6) (7) (8) (9)...(...._. INTEGRATE H T RHO GAS LIFT H. LIFT E.LIFT_HE _ (9 JMB) _ ( K.<.G/M_2)_ (H) (FT) (DEG C) (KG/M3) (KG/M_3) (KG/M3).. B/F_ _4E_+00_ 4_9588 _ E-03 l189, E E-5,8_738E _8._2_0_1E E E E E-05 * _097E i.0040e E E-04 5,4012E E E E E E E E E E E E E E E E E E E E E E, E E E E E E E E E E E E E E-05 o' E E E E E E E E E E E E E E E E E E E E E E E E E-05.65_ E E E E E-05 * E E E E-04 4,4318E E E E E E E E E E E-05 * E* E E E E E E , E E E TO.60

83 (1) (2) (3) (4) (5) (6) (7) (8) (9)_ (10) P INTEGRATED H T RHO GAS LIFT H2 L.. _IFT HE _ L F HIFE'... PRESSURE AIR M-ASS GEOPOTENTIAL ALT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (MB) (KG/M2) (M) (FT) (DEG C) (KG/M3) (KG/M3.) (KG/M3) (LB/FT3) E E E E E E , E E-04O E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E-05, E E E E E-05_ E E E E E-05, E E E E E E E E E _2E-5,48 4.,988E E E E E E ,1307E ,7040E E-04 3,.2982E-05, E ,0078E E E E E , E E E E-05, E , E E E E E E E-04 4,8588E E-05, Ef E E E E-05,41 4,262E E E E E-05, E E-04_ E E E ~~~~~~ TO.40

84 (1)-L - A _-- _-(2) ( (3)( A (4) ( - -^ (5) (6) L (7) (8) ^ L (9) - -JtJl (10) - P INTEGRATED H T RHO GAS LIFT H2 LIFT HE LFT.. ~PRESSURE AIR MASS GEOPOTENTIAL A~LT TEMPERATURE AIR DENSITY EXPANSION PURE GRADE A GRADE A (NB) (KG/M2) (m) (FT) (DEG C) (KG/M3) (KG/M3) (KG/M3) (LB/FT3) E E E E E *055E , E E E-04 2.?7669E E, E E E E-05 * E E E E E E, E E E E-05 * E E E E E Eu E E E E E L E E-04 3._ : E E E E E *225E E E E E *121E E E E-04 2.i613-_ E E E E-04 2.*0934E E E E E E *809E E E E E o706EO E o2667E E E-05 * E E E E E E E E E E-05 * E E E E E-05 * E E *7913E E E E E E E E E E E E E TO.20