DPP PHYSICAL CHEMISTRY Target IIT-JEE 2016

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1 NUCLEON CHEMISTRY CLSSES FOR IIT-JEE DPP PHYSICL CHEMISTRY Target IIT-JEE 26 Class -XII TOPIC : SOLUTION & COLLIGTIVE PROPERTIES DPP- to DPP No -. The volume of water that must be added to a mixture of 25 ml of.6 M HCl and 75 ml of.2 M HCl to obtain.25 M solution of HCl is : () 75 ml () ml (C) 2 m (D) 3 m 2. What approximate volume of.4 M a(oh) 2 must be added to 5. ml of.3 M NaOH to get a solution in which the molarity of the OH ions is.5 M? () 33 ml () 66 ml (C) 33 ml (D) ml 3. 5 ml of. M KCl, 2 ml of. M NaNO 3 and 5 ml of. M gno 3 was mixed. The molarity of K +, g +, Cl, Na +, NO 3 in the solution would be () [K + ] =.46 [g + ] =.4 [Na + ] =.2 [C ] =.4 [NO 3 ] =.42 () [K + ] =.46 [Na + ] =.66 [NO 3 ] =.433 (C) [K + ] =.4 [g + ] =.5 [Na + ] =.25 [C ] =.5 [NO 3 ] =.525 (D) [K + ] =.5 [Na + ] =.25 [NO 3 ] = Mole fraction of in H 2 O is.2. The molality of in H 2 O is : () 3.9 () 5.5 (C) 4.5 (D) What is the molarity of H 2 solution that has a density of.84 g/cc and contains 98% by mass of H 2? (Given atomic mass of S = 32) () 4.8 M () 8.4 M (C) 8.4 M (D) 8 M 6. The molality of a sulphuric acid solution is.2. Calculate the total weight of the solution having gm of solvent. () g () 98.6 g (C) 98.4 g (D) 9.6g 7. Mole fraction of C 3 H 5 (OH) 3 in a solution of 36 g of water and 46 g of glycerine is : ().46 ().36 (C).2 (D).4 DPP No - 2. solution containing 4 gm of a non-volatile organic solute per ml was found to have an osmotic pressure equal to 5 cm of mercury at 27C. The molecular weight of solute is - () 4.97 () (C) 49.7 (D) solution containing 8.6 gm urea in one litre was found to be isotonic with a 5% (wt/vol) solution of an organic volatile solute. The molecular weight of solute is - () () (C) 86.2 (D) The osmotic pressure of a solution containing ml of 3.4% solution (w/v) of urea (m. wt. 6) and 5 ml of.6% solution (w/v) of cane-sugar (m. wt 342) at 27C is - ().56 atm () 8.98 atm (C) 7.6 atm (D) 9.7 atm -479 Indra vihar, kota Page No. #

2 4. Two solutions each in ml having 4 g glucose and g sucrose respectively. How much urea should be added to one of them in order to make them isotonic? ().428 g urea in glucose solution ().77 g urea in glucose solution (C).72 g urea in sucrose solution (D).42 g urea in sucrose solution 5. 5 g of a polymer of molecular weight 5kg mol is dissolved in dm 3 solution. If the density of this solution is.96 kg dm 3 at 3 K, the height of solution that will represent its osmotic pressure is - () 28.3 mm () 2.85 mm (C) mm (D) mm 6. ml aqueous solution of glucose with osmotic pressure.2 atm at 25C is mixed with 3 ml aqueous solution of urea at 2.4 atm at 25C. Osmotic pressure of the mixture is - ().37 atm () 2.59 atm (C).85 atm (D) 2.3 atm 7. g of solute and 2 g of solute are present in 5 ml of solution. The solution has the same osmotic pressure as 6.67 g of and 3 g of present in same volume of solution at same temperature. The ratio of molar masses of solute and will be - ().25 ().66 (C).33 (D) t C, the osmotic pressure of urea solution is 5 mm. The solution is diluted and the temperature is raised to 25C, when the osmotic pressure is found to be 5.3 mm. Find out the extent of dilution () 5 () 2.5 (C).25 (D) The relation ship between osmotic pressure at 273 K, when gm glucose (P ), gm urea (P 2 ) and gm sucrose (P 3 ) are dissolved in 25 ml of water is () P > P 2 > P 3 () P 3 > P > P 2 (C) P 2 > P > P 3 (D) P 2 > P 3 > P. What osmotic pressure would the.25 molal sucrose solution exhibit at 25C? The density of this solution is.34 g/ml. () 28.7 atm () 3.22 atm (C) 2.72 atm (D) atm. t certain temperature, the osmotic pressure of an aqueous solution of urea was found to be 45 mm. How many times the solution should be diluted in order to exhibit the osmotic pressure of 8 mm at the same temperature? () 2 times () 4 times (C) 8 times (D) 5 times 2. If contains 2% NaCl and is separated by a semipermeable membrane from which contains % NaCl, which event will occur? () NaCl will flow from to () NaCl will flow from to (C) Water will flow from to (D) Water will flow from to 3. Osmotic pressure of blood is 7.4 atm at 27 C. Number of mol of glucose to be used per L for an intravenous injection that is to have the same osmotic pressure as blood is : ().3 ().2 (C). (D).4 4. solution of glucose ( C 6 H 2 O 6 ) is isotonic with 4 g of urea ( NH 2 CO NH 2 ) per liter of solution. The concentration of glucose is : () 4 g/ () 8 g/ (C) 2 g/ (D) 4 g/ 5. solution of a substance containing.5 g per ml. was found to be isotonic with 3% glucose solution. The molecular mass of the substance is : () 3.5 () 6.3 (C) 63 (D) Osmotic pressure of 3% solution of glucose is.2 atm and that of 3.42% solution of cane sugar is 2.5 atm. The osmotic pressure of the mixture containing equal volumes of the two solutions will be () 2.5 atm () 3.7 atm (C).85 atm (D).3 atm Indra vihar, kota Page No. # 2

3 DPP No - 3. n electrolyte gives 3 ions and is a non-electrolyte. If. M solution of produces an osmotic pressure P, then.5 M solution of will produce an osmotic pressure, assuming that the electrolyte is completely ionised. ().5 P () P (C).5 P (D).75 P 2. Which is the correct relation between osmotic pressure of. M NaCl solution and. M Na 2 solution? () the osmotic pressure of Na 2 is less than NaCl solution () the osmotic pressure of Na 2 is more than NaCl solution (C) both have same osmotic pressures (D) none of the above 3. Which one of the following pairs of solutions will be expected to be isotonic under the same temperature? (). M urea and. M NaCl (). M urea and.2 M MgCl 2 (C). M NaCl and. M Na 2 (D). M Ca(NO 3 ) 2 and. M Na 2 4. The van t Hoff factor of a.5 M aqueous solution of KCl is.95. The degree of ionisation of KCl is- ().95 ().97 (C).94 (D) Two solution of KNO 3 and CH 3 COOH are prepared separately molarity of both in. M and osmotic pressure are P & P 2. The correct relationship between the osmotic pressure is - () P 2 > P () P > P 2 (C) P = P 2 (D) P P P 2 + P2 P P % wt/vol. NaCl solution will exert an osmotic pressure closest to which one of the following - () 5.8% (wt/vol) sucrose solution () 5.8% (wt/vol) glucose solution (C) 2 molal sucrose solution (D) molal glucose solution 7. Sea water is found to contain NaCl & MgCl 2. If NaCl is 8% ionised and MgCl 2 is 5% ionised then van t Hoff factor is - ().3 () 5. (C) 3.3 (D) * In which case van t Hoff factor are equal? () KCl, 5% ionised (C) FeCl 3, 3% ionised () K 2, 4% ionised (D) SnCl 4, 2% ionised 9. The osmotic pressure of equimolar solutions of acl 2, NaCl and glucose will be in the order () glucose > NaCl > acl 2 () acl 2 > NaCl > glucose (C) NaCl > acl 2 > glucose (D) NaCl > glucose > acl 2.* For the given electrolyte x y, the degree of dissociation ' ' can be given as i () = x y i () i = ( )+ x + y (C) = x y (D) None -479 Indra vihar, kota Page No. # 3

4 DPP No - 4. The vapour pressure of ether at 2C is 442 mm. When 7.2 g of a solute is dissolved in 6 g ether, vapour pressure is lowered by 32 units. If molecular weight of ether is 74 then molecular weight of solute is - () 3.77 () 5.35 (C) 6.23 (D) The vapour pressure of pure benzene at 25C is mm of Hg and the vapour pressure of a solution of a solute in C 6 H 6 at the same temperature is 63.9 mm of Hg. Molality of solution is - ().79 mol/kg of solvent ().256 mol/kg of solvent (C).58 mol/kg of solvent (D).36 mol/kg of solvent 3. Find out the weight of solute (M. wt. 6) that is required to dissolve in 8 g water to reduce the vapour pressure to 4/5th of pure water - () 3 g () 5 g (C) 3 g (D) 75 g 4. The molality of a solution containing a non-volatile solute if the vapour pressure is 2% below the vapour pressure of pure water, will be - () 2.23 () 2.58 (C).33 (D) The weight of a non-volatile solute (m. wt. 4). Which should be dissolved in 4 g octane to reduce its vapour pressure to 8%, is - () 2 gm () gm (C) 7.5 gm (D) 5 gm 6. Twenty gram of a solute are added to g of water at 25C. The vapour pressure of pure water is mm Hg, vapour pressure of solution is 22.4 mm Hg. The mass of this solute that is required in g water to reduce the vapour pressure to one-half of the pure water is - () 333 g () 666 g (C) 66 g (D) 256 g 7. Vapour pressure of pure water is 4 mm. If a non-volatile solute is added to it vapour pressure falls by 4 mm. Hence, molality of solution is - () 6.73 molal () molal (C).543 molal (D).772 molal 8. The vapour pressure of pure liquid solvent is.8 atm. When a non-volatile substance is added to the solvent, its vapour pressure drops to.6 atm ; mole fraction of the component in the solution is ().5 ().25 (C).75 (D).4 9. Vapour pressure of CCl 4 at 25C is 43 mm Hg. If.5 gm of non-volatile solute (mol. mass 65) is dissolved in ml CCl 4, then the vapour pressure of the solution at 25C is - [ Given : Density of CCl 4 =.58 g/cm 3 ] () 4.93 mm () mm (C) mm (D) mm. The vapour pressure of a liquid decreases by torr when a non-volatile solute is dissolved. The mole fraction of the solute in solution is.. What would be the mole fraction of the liquid if the decrease in vapour pressure is 2 torr, the same solute being dissolved - ().2 ().9 (C).8 (D).6. How many grams of sucrose must be added to 36 g of water to lower the vapour pressure by.9 mmhg at a temperature at which pressure of pure water is 25 mm Hg? () 342 g () 36 g (C) 375 g (D) 38 g 2. The vapour pressure of water depends upon : () Surface area of container (C) Temperature () Volume of container (D) ll 3. mong the following substances, the lowest vapour pressure is exerted by - () Water () Mercury (C) Kerosene (D) Rectified spirit -479 Indra vihar, kota Page No. # 4

5 4. sample of air is saturated with benzene (vapor pressure = mm Hg at 298 K) at 298K, 75mm Hg pressure. If it is isothermally compressed to one third of its initial volume, the final pressure of the system is () 225 torr () 25 torr (C) 25 torr (D) 95 torr 5. If P and P are the vapour pressures of a solvent and its solution respectively and N and N 2 are the mole fractions of the solvent and non-volatile solute respectively, then correct relation is : () P = P N 2 () P = P N (C) P = PN (D) P = P (N /N 2 ) 6. The vapour pressure of pure liquid is torr and at the same temperature when g of solid is dissolved in 2 g of, its vapour pressure is reduced to 9. torr. If the molecular mass of is 2 amu, then the molecular mass of is : () amu () 9 amu (C) 75 amu (D) 2 amu 7. The vapour pressure of water at room temperature is lowered by 5% by dissolving a solute in it, then the approximate molality of solution is : () 2 () (C) 4 (D) 3 8. The vapour pressure of a dilute aqueous solution of glucose is 75 mm of mercury at 373 K. The mole fraction of solute is - () () 7.6 (C) 35 (D) Indra vihar, kota Page No. # 5

6 DPP No - 5. Pressure cooker reduces cooking time because () the heat is more evenly distributed inside the cooker () a large flame is used (C) boiling point of water is elevated (D) whole matter is converted into steam 2. t higher altitudes, water boils at temperature < C because () temperature of higher altitudes is low () atmospheric pressure is low (C) the proportion of heavy water increases (D) atmospheric pressure becomes more. 3. Y gm of non-volatile organic substance of molecular mass M is dissolved in 25 gm benzene. Molal elevation constant of benzene is K b. Elevation in its boiling point is given by : () M K Y b () 4K b Y (C) M K b Y 4M (D) K b Y M 4.* Which has the equal boiling point? (). M Na 2 (). M C 6 H 2 O 6 (glucose) (C). M MgCl 2 (D). M l (NO 3 ) 3 5. mol each of following solutes are taken in 5 mol water,. NaCl. K 2 C. Na 3 PO 4 D. glucose ssuming % ionisation of the electrolyte, relative decrease in vapour pressure will be in order : () < < C < D () D < C < < (C) D < < < C (D) same 6. Consider equimolal aqueous solutions of NaH and NaCl with T b and T b as their respective boiling point elevations. The value of T b Lt m Tb will be : () ().5 (C) 3.5 (D) 2 / 3 7. luminium phosphate is % ionised in. molal aqueous solution. Hence, T b / K b is : (). ().5 (C).75 (D) molal aqueous solution of an electrolyte X 3 Y 2 is 25% ionized. The boiling point of the solution is ( K b for H 2 O =.52 K kg/mol ) () K () K (C) K (D) K 9. solution containing 28 g of phosphorus in 35 g CS 2 (b.p. 46.3C) boils at 47.98C. If K b for CS 2 is 2.34 K kg mol. The formula of phosphorus is (at. mass of P = 3). () P 6 () P 4 (C) P 3 (D) P 2.. solution containing.52 g of C H 8 in CCl 4 produced an elevation in boiling point by.42c. On the other hand a solution of.62 g of an unknown solute dissolved in same amount of CCl 4 produced an elevation by.65c. Molecular weight of solute is : () () 8.5 (C) (D) g naphthalene (C H 8 ) was dissolved in g methyl acetate. Elevation of b. pt of methyl acetate solution was.3c. If b. pt. of pure methyl acetate is 57C, its molar heat of vaporisation will be - () 8.96 kcal mol () kcal mol (C) 6.24 kcal mol (D) 5.65 kcal mol 2. When 74.5 mg of octa-atomic sulphur is added to 78 g of bromine, the boiling point of bromine is - [Given K b for r 2 is 5.2 K mol kg and b. pt. of r 2 is K ] () K () 33 K (C) K (D) K 3. The molal boiling point constant of water is.53c. When 2 mole of glucose are dissolved in 4 gm of water, the solution will boil at : ().53C ().6C (C).265C (D) 99.47C -479 Indra vihar, kota Page No. # 6

7 DPP No - 6. The boiling point of an aqueous solution of a non-volatile solute is.5c. What is the freezing point of an aqueous solution obtained by diluting the above solution with an equal volume of water? [ K b and K f for water are.52 and.86 K molality - ] () -.544C () -.52C (C) -.272C (D) -.86C 2. Elevation in b. p of a solution of non-electrolyte in CCl 4 is.6. What is depression in f. p. for the same solution? K f (CCl 4 ) = 3. kg mol K ; K b (CCl 4 ) = 5.2 kg mol K. () () 5.39 (C) 3.59 (D) The freezing point of a solution prepared from.25 gm of non-electrolyte and 2 gm of water is 27.9 K. If molar depression constant is.86 K molality -. Then molar mass of the solute will be - () 5.68 () 6.7 (C) 5.3 (D) Density of M solution of a non-electrolyte C 6 H 2 O 6 is.8 g/ml. If K f (H 2 O) is.86 K mol - kg, solution freezes at : ().58C () -.86C (C) -3.6C (D).86C 5. When a solution containing w g of urea in kg of water is cooled to -.372C, 2 g of ice is separated. If K f for water is.86 K kg mol -, w is - () 4.8 g () 2. g (C) 9.6 g (D) 6. g 6. Glucose is added to litre water to such an extent that T f /K f becomes equal to /, the weight of glucose added is () 8 gm () 8 gm (C).8 gm (D).8 gm g of substance, dissolved in g H 2 O depressed the f. pt. of water by.c. While 4 g of another substance, depressed the f. pt. by.2 C. What is the relation between molecular weights of the two substance - () M = 4M () M = M (C) M =.5M (D) M = 2M 8. The temperature at which ice will begin to separate from a mixture of 2 mass percent of glycol (C 2 H 6 O 2 ) in water, is - [K f (water) =.86 K kg mol ] () 28.5 K () K (C) K (D) K 9. Which of the following has been arranged in order of decreasing freezing point? ().5 M KNO 3 >.4 M CaCl 2 >.4 M sugar >.75 M Cu ().4 M acl 2 >.4 M sucrose >.75 M Cu >.5 M KNO 3 (C).75 M Cu >.4 M sucrose >.4 M acl 2 >.5 M KNO 3 (D).75 M Cu >.5 M NaNO 3 >.4 M sucrose >.4 M acl 2. queous solution of barium phosphate which is % ionised has T f / K f as.5. Hence, given solution is: (). molal ().2 molal (C).4 molal (D).5 molal. Observe the P-T phase diagram for a given substance. Then melting point of (s), boiling point of (l), critical point of and triple point of (at their respective pressures) are respectively : () T, T 2, T 3, T 4 () T 4, T 3, T, T 2 (C) T 3, T 4, T 2, T (D) T 2, T, T 3, T Indra vihar, kota Page No. # 7

8 DPP No - 7. Mixture of volatile components and has total vapour pressure (in Torr) p = x where x is mole fraction of in mixture. Hence p and p are (in Torr) () 254, 9 () 9, 254 (C) 35, 254 (D) 9, What is the mole ratio of benzene (P = 5 torr) and toluene (P T = 5 torr) in vapour phase if the given solution has a vapour pressure of 2 torr? () 7 : () 7 : 3 (C) 8 : (D) 7 : 8 3. t 323 K, the vapour pressure in millimeters of mercury of a methanol-ethanol solution is represented by the equation p = 2 X + 4, where X is the mole fraction of methanol. Then the value of () 25 mm () 4 mm (C) 26 mm (D) 2 mm p lim X 4. Two liquids and form ideal solution at 3 K. The vapour pressure of a solution containing one mole of and four mole of is 56 mm of Hg. t the same temperature if one mole of is taken out from the solution, the vapour pressure of solution decreases by mm of Hg. Vapour pressures of and in pure state will be: () 33, 55 () 2, 3 (C) 4, 6 (D) 8, 2 5. The vapour pressure of two volatile liquid mixture is P T = (5.3 2X ) in cm of Hg ; where X is mole fraction of in mixture. What are vapour pressure of pure liquids and? () 3.3 and 2. cm of Hg () 2.3 and 3.3 cm of Hg (C) 5.3 and 2.3 cm of Hg (D) 5.3 and 3.3 cm of Hg 6. t 4C the vapour pressure in torr of methanol and ethanol solution is P = 9 x + 35 where x is the mole fraction of methanol, hence, () vapour pressure of pure methanol is 9 torr () vapour pressure of pure ethanol is 35 torr (C) vapour pressure of equimolar mixture of each is 27 torr (D) mixture is completely immiscible 7. Solution of two volatile liquids and obey Raoult s law. t a certain temperature, it is found that when the total vapour pressure above solution is 4 mm of Hg, the mole fraction of in vapour phase is.45 and in liquid phase.65 then the vapour pressures of two pure liquids at the same temperature will be - () 38.4 mm, mm () mm, mm (C) mm, mm (D) 38.4 mm, mm 8. The vapour pressure of benzene and toluene at 2C are 75 mm of Hg and 22 mm of Hg respectively g of benzene and 64.4g of toluene are mixed. If two forms ideal solution, the mole fraction of benzene in vapour phase when vapours are in equilibrium with liquid mixture, is - ().59,.4 ().25,.75 (C).5,.5 (D).35, The vapour pressure of two liquids are 5 and 3 in a unit. When equimolar solution of liquids is made. Then the mole fraction of and in vapour phase will be : () 3 2, 3 () 3, 3 2 (C) 2, 2 (D) 4, 4 3 x is. t 9C, the vapour pressure of toluene is 4 mm and that of xylene is 5 mm. The composition of liquid mixture that will boil at 9C when the pressure of mixture is.5 atm, is - ().8,.2 ().75,.25 (C).92,.8 (D).66,.34. Mole fraction of a liquid in an ideal mixture with another liquid b is X. If X is the mole fraction of component in the vapour in equilibrium, the total pressure of the liquid mixture is - (P = vapour pressure of pure ; P = vapour pressure of pure ) () P X' X () P X X' (C) P X' X P X (D) X' -479 Indra vihar, kota Page No. # 8

9 DPP No - 8.* Which of the following is correct for an ideal solution? () Raoult's law is obeyed for entire concentration range and temperatures () H mix = (C) V mix = (D) S mix = 2. Which of the following is less than zero for ideal solutions? () H mix () V mix (C) G mix (D) S mix 3. Consider a binary mixture of volatile liquids. If at X =.4 the vapour pressure of solution is 58 torr then the mixture could be (p = 3 torr, p = 8 torr) : () CHCl 3 CH 3 COCH 3 () C 6 H 5 Cl C 6 H 5 r (C) C 6 H 6 C 6 H 5 CH 3 (D) nc 6 H 4 n C 7 H 6 4.* Which of the following will form non-ideal solution? () C 2 H 5 OH and water () HNO 3 and water (C) CHCl 3 and CH 3 COCH 3 (D) C 6 H 6 and C 6 H 5 CH 3 5. Which of the following shows negative deviation from Raoult's law? () CHCl 3 and acetone () CHCl 3 and C 2 H 5 OH (C) C 6 H 5 CH 3 and C 6 H 6 (D) C 6 H 6 and CCl 4 6. maxima or minima obtained in the temperature composition curve of a mixture of two liquids indicates () an azeotropic mixture () an eutectic formation (C) that the liquids are immiscible with one another (D) that the liquids are partially miscible at the maximum or minimum DPP No - 9. What volume of. M H 2 must be added to 5 ml of a. M NaOH solution to make a solution in which the molarity of the H 2 is.5 M? () 4 ml () 5 ml (C) ml (D) 5 ml 2. The van't Hoff factor i for an infinitely dilute solution of NaH is : () / 2 () / 3 (C) 3 (D) 2 3. ph of a. M monobasic acid is found to be 2. Hence its osmotic pressure at a given temp. T K is- (). RT (). RT (C). RT (D). RT 4. Lowering of vapour pressure of. m solution of a non-volatile solute in a hypothetical solvent of molar mass 4 g at its normal boiling point, is : () torr () 3.4 torr (C) 35. torr (D) 4. torr 5. The mole fraction of the solvent in the solution of a non-volatile solute is.98. The relative lowering of vapour pressure is - (). ().98 (C).2 (D) The vapour pressure of pure benzene C 6 H 6 at 5C is 26 Torr. How many moles of nonvolatile solute per mole of benzene are required to prepare a solution of benzene having a vapour pressure of 67. Torr at 5C? ().35 mol ().65 mol (C).336 mol (D).663 mol 7. Lowering of vapour pressure due to a solute in molal aqueous solution at C is : () 3.44 Torr () 4.2 Torr (C) 32 Torr (D) 352 Torr 8. vessel has nitrogen gas and water vapours in equilibrium with liquid water at a total pressure of atm. The partial pressure of water vapours is.3 atm. The volume of this vessel is reduced to one third of the original volume, at the same temperature, then total pressure of the system is :(Neglect volume occupied by liquid water) () 3. atm () atm (C) 3.33 atm (D) 2.4 atm -479 Indra vihar, kota Page No. # 9

10 9. solute S undergoes a reversible trimerization when dissolved in a certain solvent. The boiling point elevation of its. molal solution was found to be identical to the boiling point elevation in case of a.8 molal solution of a solute which neither undergoes association nor dissociation. To what percent had the solute S undergone trimerization? () 3% () 4% (C) 5% (D) 6%. arium ions, CN and Co 2+ form an ionic complex. If that complex is supposed to be 75% ionised in water with vant Hoff factor i equal to four, then the coordination number of Co2+ in the complex can be : () Six () Five (C) Four (D) Six and Four both. Consider following cases - I : 2M CH 3 COOH solution in benzene at 27 C where there is dimer formation to the extent of % II :.5 M KCl aq. solution at 27 C, which ionises % Which is/are true statements(s) - () both are isotonic () I is hypertonic (C) II is hypotonic (D) none is correct 2. PtCl 4. 6H 2 O can exist as a hydrated complex molal aq. solution has depression in freezing point of ssume % ionisation and K f (H 2 O) =.86 mol kg, then complex is : () [Pt(H 2 O) 6 ]Cl 4 () [Pt(H 2 O) 4 Cl 2 ]Cl 2. 2H 2 O (C) [Pt(H 2 O) 3 Cl 3 ]Cl. 3H 2 O (D) [Pt(H 2 O) 2 Cl 4 ]. 4H 2 O 3. When only a little quantity of HgCl 2 (s) is added to excess KI(aq) to obtain a clear solution, which of the following is true for this solution? (no volume change on mixing) () Its boiling and freezing points remain same () Its boiling point is lowered (C) Its vapour pressure become lower (D) Its boiling point is raised 4. How many moles of sucrose should be dissolved in 5 gms of water so as to get a solution which has a difference of 4 C between boiling point and freezing point. (K f =.86 K Kg mol, K b =.52 K Kg mol ) ().68 () 3.36 (C) 8.4 (D) g of arsenic dissolved in 86 g of benzene brings down the freezing point to 5.3 C from 5.5 C. If K f of C benzene is 4.9, the atomicity of the molecule is : (s 75) m () 8 () 2 (C) 3 (D) 4 6. n ideal mixture of liquids and with 2 moles of and 2 moles of has a total vapour pressure of atm at a certain temperature. nother mixture with mole of and 3 moles of has a vapour pressure greater than atm. ut if 4 moles of C are added to the second mixture, the vapour pressure comes down to atm. Vapour pressure of C, P c =.8 atm. Calculate the vapour pressures of pure and pure. () P =.4 atm, P =.7 atm () P =.2 atm, P =.6 atm (C) P =.4 atm, P =.6 atm (D) P =.6 atm, P =.4 atm 7. The vapor pressures of benzene, toluene and a xylene are 75 Torr, 22 Torr and Torr at 2C. Which of the following is not a possible value of the vapor pressure of an equimolar binary/ternary solution of these at 2C? ssume all form ideal solution with each other. () 48 () 6 (C) (D) 3 8. The vapour pressure of the solution of two liquids (p = 8 mm) and (p = 2 mm) is found to be mm when x =.4. The result shows that () solution exhibits ideal behaviour () solution shows positive deviations (C) solution shows negative deviations (D) solution will show positive deviations for lower concentration and negative deviations for higher concentrations Indra vihar, kota Page No. #

11 9. How many mmoles of sucrose should be dissolved in 5 gms of water so as to get a solution which has a difference of 3.57 C between boiling point and freezing point. (K f =.86 K Kg mol, K b =.52 K Kg mol ) () 5 mmoles () 9 mmoles (C) 75 mmoles (D) 65 mmoles 2. The vapour pressure of pure liquid solvent is.8 atm. When a non-volatile substance is added to the solvent, its vapour pressure drops to.6 atm. Mole fraction of the component in the solution is : ().5 ().25 (C).75 (D).4 2. The vapour pressure of a solution of a non-volatile solute in a solvent is 95% of the vapour pressure of the solvent at the same temperature. If the molecular weight of the solvent is.3 times the molecular weight of the solute, what is the ratio of weight of solvent to solute. ().5 () 5.7 (C).2 (D) none of these 22. Relative decrease in vapour pressure of an aqueous solution containing 2 moles [Cu(NH 3 ) 3 Cl] Cl in 3 moles H 2 O is.5. On reaction with gno 3, this solution will form(assuming no change in degree of ionisation of substance on adding gno 3 ) () mol gcl ().25 mol gcl (C).5 mol gcl (D).4 mol gcl 23. Moles of K 2 to be dissolved in 2 mol water to lower its vapour pressure by mmhg at a temperature at which vapour pressure of pure water is 5 mm is : () 3 mol () 2 mol (C) mol (D).5 mol 24. t a constant temperature, S will be maximum for which of the following processes : () Vaporisation of a pure solvent () Vaporisation of solvent from a solution containing nonvolatile and nonelectrolytic solute in it (C) Vaporisation of solvent from a solution containing nonvolatile but electrolytic solute in it (D) Entropy change will be same in all the above cases 25. solution of a non-volatile solute in water has a boiling point of K. The vapour pressure of water above this solution at 338 K is : [Given p (water) =.2467 atm at 338 K and K b for water =.52 K kg mol - ] ().8 atm ().23 atm (C).34 atm (D).42 atm 26. Elevation in boiling point of an aqueous urea solution is.52. (K b =.52K kg mol - ). Hence mole fraction of urea in this solution is : ().982 ().567 (C).943 (D) Relative decrease in V. P. of an aqueous glucose dilute solution is found to be.8. Hence, elevation in boiling point is : (it is given molal aq. urea solution boils at.54c at atm. pressure) ().8 ().8 (C).54 (D) n aqueous solution containing 5% by weight of urea and % by weight of glucose. Freezing point of solution is [K f for H 2 O is.86 K mol kg] () 3.4 C () 3.4 C (C) 5.96 C (D) 5.96 C 29. The amount of ice that will separate out from a solution containing 25 g of ethylene glycol in g of water and is cooled to C, will be : [Given : K f for H 2 O =.86 K mol kg] () 5. g () 25. g (C) 2.5 gm (D) 3. gm 3. It has been found that minimum temperature recorded in a hill station is C. The amount of glycerine to be added to 4 dm 3 water used in car radiator, so that it does not freeze, is - [ H fusion = 6. kj mol ] () kg () kg (C) 9.89 kg (D) kg 3. In winter, the normal temperature in Kullu valley was found to be C. Is a 28% (by mass) aqueous solution of ethylene glycol suitable for a car radiator? K f for water =.86 K kg mol. () Yes () No (C) can t predict (D) None of these -479 Indra vihar, kota Page No. #

12 32..2 molal aqueous solution of a weak acid (HX) is 2 per cent ionised. The freezing point of this solution is (Given k f =.86 C kg mol for water) : ().45C ().9C (C).3 C (D).53C. 33. complex of iron and cyanide ions is % ionised at m (molal). If its elevation in b.p. is 2.8. Then the complex is (K b =.52 mol kg) : () K 3 [Fe(CN) 6 ] () Fe(CN) 2 (C) K 4 [Fe(CN) 6 ] (D) Fe(CN) The fraction of phenol dimerised in benzene if 2 g of phenol in kg benzene exhibits a freezing point K kg depression of.69 K. (K f benzene = 5.2 ), (MW phenol = 94) mol ().74 ().37 (C).46 (D) For a solution of.849 g of mercurous chloride in 5 g of HgCl 2 ( ) the freezing point depression is.24c. K f for HgCl 2 is What is the state of mercurous chloride in HgCl 2? (Hg 2, Cl 35.5) () as Hg 2 Cl 2 molecules () as HgCl molecules (C) as Hg + and Cl ions (D) as Hg 2 2+ and Cl ions 36. solution of x moles of sucrose in grams of water freezes at.2 C. s ice separates the freezing point goes down to.25 C. How many grams of ice would have separated? () 8 grams () 2 grams (C) 25 grams (D) 23 grams 37. Consider two liquids & having pure vapour pressures P & P forming an ideal solution. The plot of X v/s (where X and Y are the mole fraction of liquid in liquid and vapour phase respectively) is linear with Y slope and Y intercepts respectively : () P P and P ( P P ) () P P and P ( P P ) (C) P P and P ( P P ) (D) P P and ( P P P ) 38. ssuming the formation of an ideal solution, determine the boiling point of a mixture containing 56 g benzene (molar mass = 78) and 25 g chlorobenzene (molar mass = 2.5) using the following against an external pressure of Torr. () 9C () C (C) (D) 2C 39. Liquids and form an ideal solution and the former has stronger intermolecular forces. If X and X are the mole fractions of in the solution and vapour in equilibrium, then : () X' X = () X' X > (C) X' X < (D) X ' + X = 4. t a certain temperature pure liquid and liquid have vapour pressures torr and 37 torr respectively. For a certain ideal solution of and, the vapour in equilibrium with the liquid has the components and in the partial pressure ratio P : P = : 7. What is the mole fraction of in the solution? ().346 ().654 (C).5 (D) none of these -479 Indra vihar, kota Page No. # 2

13 4. Two liquids and forms an ideal solution at temperature T. When the total vapour pressure above the solution is 4 torr, the mole fraction of in the vapour phase is.4 and in the liquid phase.75. The vapour pressure of pure and respectively are : () torr, 772. torr () torr, 84. torr (C) torr, 96. torr (D) 32.5 torr, 865. torr 42. n aqueous solution containing 28% by mass of a liquid (mol. mass = 4) has a vapour pressure of 6 mm at 37C. The vapour pressure of water at 37C is 5 mm, then the pressure of pure liquid, is - () 8.22 mm () 3.32 mm (C) 36.5 mm (D) mm 43. If vapour pressures of pure liquids & are 3 and 8 torr respectively at 25 C. When these two liquids are mixed at this temperature to form a solution in which mole percentage of is 92, then the total vapour pressure is observed to be.95 atm. Which of the following is true for this solution. () V mix > () H mix < (C) V mix = (D) H mix = 44. liquid is kept in a closed vessel. If a glass plate (negligible mass) with a small hole is kept on top of the liquid surface, then the vapour pressure of the liquid in the vessel is : () More than what would be if the glass plate were removed () Same as what would be if the glass plate were removed (C) Less than what would be if the glass plate were removed (D) Cannot be predicted Multiplce Choice Type 45. The diagram given below represents boiling point composition diagram of solution of component and, which is/are incorrect among the following? () The solution shows negative deviation () --interactions are stronger than - and - (C) The solution is ideal solution (D) The solution shows positive deviation. 46. For chloroform and acetone or for a solution of chloroform and acetone if p s (observed (actual)) is compared with p s (Theoretical (Raoult)) then which of the following is /are true? () p s (actual) < p s (raoult) () (p acetone p s actual ) = Limit Limit X chloroform (C) (p chloroform p s (actual)) = (D) p acetone > p chloroform near room temperature X acetone 47. In which of the following pairs of solutions will the values of the vant Hoff factor be the same? ().5 M K 4 [Fe(CN) 6 ] and. M Fe (). M K 4 [Fe(CN) 6 ] and.5 M Fe (NH 4 ) 2. 6H 2 O (C).2 M NaCl and. M acl 2 (D).5 M Fe (NH 4 ) 2. 6H 2 O and.2 M KCl. MgCl 2. 6H 2 O -479 Indra vihar, kota Page No. # 3

14 48. Dry air is slowly passed through three solutions of different concentrations, c, c 2 and c 3 ; each containing (non volatile) NaCl as solute and water as solvent, as shown in the Fig. If the vessel 2 gains weight and the vessel 3 loses weight, then : () c > c 2 () c < c 2 (C) c < c 3 (D) c 2 > c 3 DPP No -. Calculate the molality and molarity of a solution made by mixing equal volumes of 3% by weight of H 2 (density =.2 g/ml) and 7% by weight of H 2 (density =.6 g/ml). 2. t 2C the osmotic pressure of a urea solution is found to be 5 mm of Hg. The solution is diluted and the temperature is raised to 27C, when the osmotic pressure is found to be 9.9 mm of Hg. Determine the extent of dilution. 3. The vapour pressure of water at 8 C is 355 torr. ml vessel contained water saturated oxygen at 8 C, the total gas pressure being 76 torr. The contents of the vessel were pumped into a 5. ml, vessel at the same temperature. What were the partial pressures of oxygen and of water vapour, what was the total pressure in the final equilibrated state? Neglect the volume of any water which might condense. 4. Twenty grams of a solute are added to g of water at 25C. The vapour pressure of pure water is mmhg; the vapour pressure of the solution is 22.4 Torr. (a) Calculate the molar mass of the solute. (b) What mass of this solute is required in g of water to reduce the vapor pressure to one-half the value for pure water? 5. 2 g of a non-volatile hydrocarbon solute dissolved in g of a hypothetical organic solvent (molar mass=5) was found to lower the vapour pressure from 75. to 74.5 mm of Hg at 2C. Given that the hydrocarbon contains 96% of C, what is the molecular formula of the hydrocarbon? 6. The degree of dissociation of Ca(NO 3 ) 2 in a dilute aqueous solution containing 7 g salt per g of water at C is 7%. If the vapour pressure of water at C is 76 mm of Hg, calculate the vapour pressure of the solution. 7. Dry air was passed through bulbs containing a solution of 4 grams of nonelectrolytic solute in 36 grams of water, then through bulbs containing pure water at the same temperature and finally through a tube in which pumice moistened with strong H 2 was kept. The water bulbs lost.87 grams and the sulphuric acid tube gained 2.75 grams. Calculate the molecular weight of solute. 8. solution containing.5 g of ethyl benzoate in 65 g of benzene has density of.8 g/cc and vapor pressure of 747 mm Hg at 8C. Vapor pressure of pure benzene is 756 mm Hg. What is the osmotic pressure of the solution in Torr? Note that the solute may have some extent of association in the solvent Indra vihar, kota Page No. # 4

15 9. (a) solution containing.5 g of nephthalene in 5 g CCl 4 yield a boiling point elevation of.4 K, while a solution of.6 g of an unknown solute in the same mass of the solvent gives a boiling point elevation of.65 K. Find the molar mass of the unknown solute. (b) The boiling point of a solution of. g of a substance in 6 g of ether was found to be.c higher that of pure ether. What is the molecular mass of the substance. K b (ether) = 2.6 K kg mol -. The boiling point of a solution of 5 g of sulphur in g of carbon disulphide is.474c above that of pure solvent. Determine the molecular formula of sulphur in this solvent. The boiling point of pure carbon disulphide is 47C and its heat of vaporisation is 84 calories per gram.. Calculate the freezing point of a solution of a non-volatile solute in a unknown solvent of molar mass 3 g/mole having mole fraction of solvent equal to.8. Given that latent heat of fusion of solid solvent = 2.7 kcal mol, freezing point of solvent = 27 C and R = 2cal mol k. 2. g of a monobasic acid dissolved in 2 g of water lowers the freezing point by.86c. On the other hand when g of the same acid is dissolved in water so as to make the solution 2 ml, this solution requires K kg 25 ml of. N NaOH for complete neutralization. Calculate % dissociation of acid? (K f =.86 ) mol 3.. molal solution of a ionic complex with molecular formula Pt(NH 3 ) 4 Cl 4 lowers the freezing point of water by.54 C. ssume the above compound to be % ionised and k f for water =.86 k kg mol. (i) Write IUPC name of the above compound. Now. moles of above complex is taken separately and enough gno 3 (aq) is added to it for complete precipitation of free Cl as gcl. The precipitate is filtered and dried. It requires at least five times the volume of NH 3 (aq.) needed stoichiometrically for its dissolution. (ii) Calculate the volume of. M NH 3 (aq.) required for this purpose. (iii) Write IUPC name of the second complex formed. ssume molality to be equal to molarity when ever needed. 4. The amount of benzene that will separate out (in grams) if a solution containing 7.32 g of triphenylmethane in g of benzene is cooled to a temperature which is.2 C below the freezing point of benzene? (K f = 5.2 K-Kg/mol) 5. Two liquids and form an ideal solution. t 3 K, the vapour pressure of a solution containing mole of and 3 moles of is 55 mm of Hg. t the same temperature, if one mole of is added to this solution, the vapour pressure of the solution increases by mm of Hg. Determine the vapour pressure of and in their pure states. 6. Two liquids, and, form an ideal solution. t the specified temperature, the vapour pressure of pure is 2 mmhg while that of pure is 75 mmhg. If the vapour over the mixture consists of 5 mol percent, what is the mole percent in the liquid? 7. t 8 o C, the vapour pressure of pure benzene is 753 mm Hg and of pure toluene 29 mm Hg. Calculate the composition of a liquid in mole per cent which at 8 o C is in equilibrium with the vapour containing 3 mole per cent of benzene. 8. t a constant temperature liquid has vapour pressure of 7 mm Hg and liquid has vapour pressure of 28 mm Hg. solution of the two at the same temperature in which mole fraction of is.7 has a total vapour pressure of 376 mm. Identify whether the solution process is Endothermic or Exothermic? -479 Indra vihar, kota Page No. # 5

16 9. oiling point of a mixture of water and nitrobenzene is 99 C, the vapour pressure of water is 733 mm of Hg and the atmospheric pressure is 76 mm of Hg. The molecular weight of nitrobenzene is 23. Find the ratio of weights of the components of the distillate. 2. mixture of an organic liquid and water distilled under one atmospheric pressure at 99.2C. How many grams of steam will be condensed to obtain. g of liquid in the distillate? (Vapour pressure of water at 99.2C is 739 mm Hg. Molecular weight of = 23) 2. The partial pressure of ethane over a solution containing g of ethane is bar. If the solution contains 5. 2 g of ethane, then what shall be the partial pressure of the gas? 22. membrane permeable only to water separates a. M solution of sucrose from another. M sucrose solution. On which solution must pressure be applied to bring the system into equilibrium? Find this pressure if the T = 298 K. 23. solution contains 68.4 gms of cane sugar (C 2 H 22 O ) in gms of water. Calculate the following for this solution (a) Vapour pressure; (b) Osmotic pressure at 2C ; (c) Freezing point ; (d) oiling point. [density of the solution =.24 gm cm 3 ; vapour pressure of water = 7.54 mm; latent heat of fusion = 8 cal gm latent heat of vaporization = 54 cal gm ] 24. solution containing 24g of a non - electrolyte per kg of water starts to freeze at.75 C. The molar mass of the solute is 6g mol. Calculate the molal depression constant for water. If the solution is cooled to C, how much of ice would separate? 25. If N 2 gas is bubbled through water at 293 K, how many millimoles of N 2 gas would dissolve in litre of water. ssume that N 2 exerts a partial pressure of.987 bar. Given that Henry's law constant for N 2 at 293 K is kbar. 26. n aqueous solution containing 288 gm of a non-volatile compound having the stoichiometric composition C x H 2x O x in 9 gm water boils at.24 C at. atmospheric pressure. What is the molecular formula? K b (H 2 O) =.52 K mol kg T b (H 2 O) = C 27. The degree of dissociation of Ca(NO 3 ) 2 in a dilute aqueous solution containing 7 gm of the salt per gm of water at C is 7%. If the vapour pressure of water at C is 76 mm. Calculate the vapour pressure of the solution. 28. The addition of 3 gm of substance to gm CCl 4 (M = 54 gm mol ) raises the boiling point of CCl 4 by.6 C of K b (CCl 4 ) is 5.3 kg mol K. Calculate (a) the freezing point depression (b) the relative lowering of vapour pressure (c) the osmotic pressure at 298 K (d) the molar mass of the substance Given K f (CCl 4 ) = 3.8 kg mol K and (density) of solution =.64 gm/cm complex is represented as CoCl 3 x NH 3. It's. molal solution in aq. solution shows T f =.558 C. K f for H 2 O is.86 K mol kg. ssuming % ionisation of complex and coordination no. of Co is six, calculate formula of complex. 3. Calculate the boiling point of a solution containing.6g of benzoic acid in 5g of carbon disulphide assuming 84% dimerization of the acid. The boiling point and K b of CS 2 are 46.2 C and 2.3 K kg mol, respectively Indra vihar, kota Page No. # 6

17 3. t 25C, mol of having a vapor pressure of torr and mol of having a vapor pressure of 3 torr were mixed. The vapor at equilibrium is removed, condensed and the condensate is heated back to 25C. The vapors now formed are again removed, recondensed and analyzed. What is the mole fraction of in this condensate? 32. very dilute saturated solution of a sparingly soluble salt 3 4 has a vapour pressure of 2 mm of Hg at temperature T, while pure water exerts a pressure of 2.26 mm Hg at the same temperature. Calculate the solubility product constant of 3 4 at the same temperature. 33. The specific conductivity of a.5 M aq. solution of monobasic acid H at 27 C is.6 Scm. It's molar conductivity at infinite dilution is 2 S cm 2 mol. Calculate osmotic pressure (in atm) of.5 M H (aq) solution at 27 C. Given R =.8 atm L. mol K ml water solution containing 48. g of sucrose, C 2 H 22 O, at 3 K is separated from pure water by means of a semipermeable membrane. What pressure must be applied above the solution in order to just prevent osmosis? % aqueous solution of NaNO 3 is apparently 9% dissociated at 27 C. Calculate its osmotic pressure. (R=.82 l atm K mol ) 36. n aqueous solution containing 288 gm of a non-volatile compound having the stoichiometric composition C x H 2x O x in 9 gm water boils at.24 C at. atmospheric pressure. What is the molecular formula? K b (H 2 O) =.52 K mol kg T b (H 2 O) = C 37. The degree of dissociation of Ca(NO 3 ) 2 in a dilute aqueous solution containing 7 gm of the salt per gm of water at C is 7%. If the vapour pressure of water at C is 76 mm. Calculate the vapour pressure of the solution. 38. The latent heat of fusion of ice is 8 calories per gram at C. What is the freezing point of a solution of KCl in water containing 7.45 grams of solute in 5 grams of water, assuming that the salt is dissociated to the extent of 95%? 39. The molar volume of liquid benzene (density =.877 g ml ) increases by a factor of 275 as it vaporizes at 2 C and that of liquid toluene (density =.867gml ) increases by a factor of 772 at 2 C. Solution of benzene & toluene has a vapour pressure of 46. torr. Find the mole fraction of benzene in the vapour above the solution. 4. t 25 O C, mol of having a vapor pressure of torr and mol of having a vapor pressure of 3 torr were mixed. The vapor at equilibrium is removed, condensed and the condensate is heated back to 25C. The vapors now formed are again removed, recondensed and analyzed. What is the mole fraction of in this condensate? 4. When the mixture of two immicible liquids (water and nitrobenzene) boils at 372 K and the vapour pressure at this temperature are 97.7 kpa (H 2 O) and 3.6 kpa (C 6 H 5 NO 2 ). Calculate the weight % of nitrobenzene in the vapour. 42. n ideal solution was prepared by dissolving some amount of cane sugar (non volatile) in.9 moles of water. The solution was then cooled just below its freezing temperature (27 K), where some ice get separated out. The remaining aqueous solution registered a vapour pressure of 7 torr at 373 K. Calculate the mass of ice separated out, if the molar heat of fusion of water is 6 kj Indra vihar, kota Page No. # 7

18 DPP No -. (C) 2. () 3. () 4. () 5. (C) 6. (D) 7. (C) DPP No - 2. (C) 2. () 3. (D) 4. () 5. (C) 6. (D) 7. (C) 8. () 9. (C). (). () 2. (C) 3. () 4. (C) 5. (D) 6. (C) DPP No - 3. () 2. () 3. (D) 4. () 5. () 6. (C) 7. (C) 8.* (D) 9. ().* (C) DPP No - 4. () 2. (C) 3. () 4. (C) 5. () 6. () 7. () 8. () 9. (). (C). () 2. (C) 3. () 4. (C) 5. () 6. () 7. (D) 8. (D) DPP No - 5. (C) 2. () 3. () 4.* (C) 5. (C) 6. () 7. (D) 8. () 9. (). (C). () 2. (D) 3. (C) DPP No - 6. () 2. (C) 3. () 4. () 5. (C) 6. (D) 7. (D) 8. () 9. (). (). (C) DPP No - 7. (C) 2. () 3. (C) 4. (C) 5. (D) 6. () 7. () 8. () 9. (). (C). () DPP No - 8.* (C) 2. (C) 3. () 4.* (C) 5. () 6. () DPP No - 9. (C) 2. (C) 3. () 4. () 5. (C) 6. () 7. () 8. (D) 9. (). (). () 2. (C) 3. () 4. (D) 5. (D) 6. (D) 7. (D) 8. (C) 9. (C) 2. () 2. () 22. (C) 23. (C) 24. () 25. () 26. (D) 27. (C) 28. () 29. () 3. (C) 3. () 32. () 33. () 34. () 35. () 36. () 37. () 38. () 39. (C) 4. () 4. (C) 42. (C) 43. () 44. () 45. (C) 46. (CD) 47. (D) 48. (D) -479 Indra vihar, kota Page No. # 8

19 DPP No -. Molality =.44 m, Molarity = 7.55 M 2. Volume must have been made 5 times 3. P O2 = 8 mm Hg, P H2 O = 355 mm Hg, P total = 65 mm Hg 4. (a) 6 g/mol (b) g 5. C 2 H mm of Hg 7. M = Torr 9. (a) M = (b) m = 35. S 8..33C (i) Tetraamminedichloroplatinum (IV) chloride (ii) Volume of NH 3 (aq) needed = 2 ml (iii) Diamminesilver (I) chloride p = 4 mm of Hg, P = 6 mm of Hg mole % mole percent benzene 8. Endothermic g bar atm 23. (a) 7.48 mm (b) 4.6 atm (c).372c (d).3c , 25 gm m mol 26. C 44 H 88 O mm/hg 28. (a) 3.79C (b).8 (c) 4.65 atm (d) [Co(NH 3 ) 5 Cl]Cl C 3. x " a = atm atm 36. C 44 H 88 O mm/hg 38. T f =.73C % Indra vihar, kota Page No. # 9