The concentration will change on the feed side from inlet (feed) to outlet (retentate) because water is continuosly permeating, see figure

Size: px
Start display at page:

Download "The concentration will change on the feed side from inlet (feed) to outlet (retentate) because water is continuosly permeating, see figure"

Transcription

1 SOLUTION TO EXAM SIK2010 H2002 / M-B Hägg PROBLEM Revers Osmosis The concentration will change on the feed side from inlet (feed) to outlet (retentate) because water is continuosly permeating, see figure a) Checking the specification: c1 c2 R c2 c 1 = ) / 2 = ppm NaCl (average log mean value could also have been used) = where c1 is the average concentration from inlet to outlet, c 1 c f c r = 2 Calculates c 2 : c.995 = c2 = c p = 2ppm. NaCl < 00ppm OK! b) Calculating the osmotic pressure over the membrane at inlet and outlet: nrt π = V m where n = (c 1 -c 2 )2 / M NaCl and V m is volume of water (Note we multiply by 2 because NaCl is completely dissociated; Na + and Cl - Further; the density given at 25 C should read: density of water, not seawater. This makes only a minor difference for the calculations, and both ways are accepted.) Also remember ppm = parts per million on weight basis, hence.5 w% NaCl = ppm 0.2 w% NaCl = 2 ppm Inserting into Vant Hoff s equation above: 6 ( ) π innløp = N / m = 29. 6bar 58.5 (1/ 997) 6 ( ) π utløp = = N / m = 8. 8bar 58.5 (1/ 997) Average osmostic pressure over the module: ( ) / 2 = 9.2 bar c) Calculating the membrane area based on information about test module: General equation: N w = Aw( p π ) where A w = water flux (m /h. m 2. bar) (A w for test module = A w real module) or: J = N A where A M = membrane area (m 2 ) w w M hence: testmodule 60 l/h = Aw (25-0). A 1 given: A 1 = 1m 2 real module 1000 l/h = Aw (55 9.2).A 2 Solving for A 2 gives membrane area:a 2 = 26. m 2

2 PROBLEM Humidity and drying a) efinitions of the variables below are found on pages in Geankoplis: -dry bulb temperature -wet bulb temperature -adiabatic saturation temperature -percentage humidity -percentage relative humidity b) Given for an air stream: temperature 85 C (=dry bulb temperature) dew point 27.C C 5% relative humidity; H R = 100 (p A / p AS ) total pressure of humid air is 1 bar Vapor pressure: From table A.2-9 saturation pressure, at 85 C is found; p AS = 57.8 kpa vapor pressure is calculated: p A = (H R. p AS ) / 100 p A = (5/100) = 2.87 kpa From the diagram, the remaining variables can be found: At 27.5 C a vertical line is drawn up to 100% humidity (dew point) Then going horisontal to the humidity axis we read: Absolute humidity at 85 C: H = kg H 2 O = / kg dry air We read precentage humidity for our gas stream where the vertical line from 85 C is crossing this horisontal line found above: hence % humidity, Hp = 100 (H / Hs) = % (app.) If this air stream is cooled adiabatic to 100% saturation (follow the adiabatic saturation curves in the diagram), we find the wet bulb temperature T w = 8 C ( adiabatic saturation temperature) (Note: H s at this temperature is 0.05 kg H2O / kg dry air, but this is NOT the same as H s will be for our air stream at 85 C)

3 VLN 5 Qryhpehu 58/ 55 Sureohp Vwhdg vwdwh glxvlrq soxv frqyhfwlrq= M Æ. f f +Q. Q E, Glxvlrq ri wkurxjk d vwdjqdqw od hu ri E phdqv Q E ixqgdphqwdo irup lv M fg E C{ = Ilfn*v odz rq C{ fg E C}. f f Q Q f fg E f C} Wkh wrwdo glhuhqwldo ri f lv Cf C{. { C} C} Cf,g}1 w frqvwdqw C} wrwdo frqfhqwudwlrq f/ l1h1 lghdo jdv dw frqvwdqw whpshudwxuh dqg suhvvxuh/ wklv uhgxfhv wr= f C{ g}= C} ] } ] f gf Q G E f + ] f fg E f +f f, f fg E } Ã f f fg E } Ã { fg E } Ã {E d, f lv wkh wrwdo produ frqfhqwudwlrq ^pro p Ã6` ri jdv +iru lghdo jdv S@UW,/ G E lv wkh elqdu glxvlylw ^p 5 v Ã`/ } lv wkh glxvlrq ohqjwk ^p` dqg { E >{ E duh wkh proh iudfwlrqv ri +vwdjqdqw, frpsrqhqw E dw wkh erxqgdulhv1 e, Wdqvsruw htxdwlrq +pdvv x{ ri zdwhu,= Q K5R jk P K 5R SG K 5RÃdlu }UW { E Æ K5 R :9 C =9 S S K5 Æ R :9

4 Wkh Fkdspdq0Hqvnrj fruuhfwlrq lv xvhg wr qg wkh whpshudwxuh lq xhqfh rq G E +wkh sdudphwhu ydoxhv duh qrw qhhghg,= G K5 RÃdlu +5 5=9 Ã8 p 5 v à 6@5 656=8 G K5RÃdlu +8 G K5RÃdlu +5 6=< Ã8 p 5 v à 5<6=8 6@5 67;=8 G K5RÃdlu +:8 G K5RÃdlu +5 6=698 Ã8 p 5 v à 5<6=8 Wkh rwkhu sdudphwhuv lq wkh wudqvsruw htxdwlrq duh= P j pro à 7h7 p5 / 658 Sd/ p/ M pro à N à / zklfk jlyhv wkh fdofxodwhg uhvxowv= Q K5R +5 =:7 j k à Q K5 R +8 =778 j k à Q K5R +:8 =;;5 j k à f, Wkh zdwhu x{ lv frqvwdqw dw dq srlqw dorqj wkh glxvlrq sdwk1 Vxevwlwxwlrq ri { jlyhv wkh iroorzlqj htxdwlrq zklfk pxvw eh ydolg dw dq srlqw dorqj wkh glxvlrq sdwk +uhphpehu wkdw wkhuh lv 9( uhodwlyh kxplglw dw wkh rxwohw,/ =9{ fg E } fg { E à { +, { zkhuh 5 ^>}`1 Vroyh iru { +, + { } + =9{,. + { }, ru/ { h{s } + =9{,. + { }, Xvh Pdwode wr sorw wkh surohv= AA }hwd@olqvsdfh+/1:,*> AA }@1:> AA }hwd@olqvsdfh+/},*> AA {@^:186/<518/5;<1`2:9> AA {@0h{s++}hwd2},-orj+019-{,.+0}hwd2},-orj+0{,,> AA sorw+}hwd/{, AA julg AA {odeho+*glvwdqfh ^p`*, AA odeho+*proh iudfwlrq ri zdwhu*, 5

5 Mole fraction of water istance [m] g, w F wkhuh zloo eh qr dlu ohiw dw wkh zdwhu lqwhuidfh +dq wudfh dprxqw ri dlu zloo orzhu wkh sduwldo suhvvxuh ri zdwhu zklfk zloo wkhq vwduw wr erlo r,1 Wklv jlyhv { wkh htxdwlrqv deryh wr euhdn grzq1 Krzhyhu/ sk vlfdo lqwxlwlrq whoov xv wkdw wkh frqfhqwudwlrq pxvw vwd frqvwdqw ryhu wkh hqwluh wxeh/ l1h1 { 6

6 Sureohp 5 d, Wrwdo pdvv +l1h1 pdwhuldo, edodqfh= E. G Frpsrqhqw pdvv +l1h pdwhuldo, edodqfh= { I> { E> E. { G> G Frpelqhg= { I> { E> E. { G> +I E, Sxw lq qxpehuv E nj pro k { I> { G> { E> { G> I G nj pro I E =75 =7 =<: \rx kdyh qrz vroyhg d 5 5 olqhdu htxdwlrq v vwhp/ qrwklqj pruh dqg qrwklqj ohvv$ e, Wrwdo pdvv edodqfh iru wkh hqulfkphqw vhfwlrq= Y G. O q Frpsrqhqw pdvv edodqfh +wrwdo frqghqvhu,= q. Y { G G. { q O q Frpelqh= G G. { q Y q. O q Y q. O q G. { q G. O q G. O q { G.U. { U q.u 7

7 Wkh rshudwlqj olqh lqwhuvhfwv wkh 0d{lv { U, Iru vdwxudwhg oltxlg ihhg/ wkh t0olqh jrhv yhuwlfdoo r iurp wkh srlqw { rq wkh gldjrqdo1 Wkh pdvv edodqfh ri wkh ihhg wud lv qrw uhtxluhg/ exw vwxghqwv zkr duh deoh wr ghulyh wkh edodqfh { t t { I t zloo eh jlyhq h{wud fuhglw +lw pxvw eh ghprqvwudwhg wkdw wkh rshudwlqj olqhv ri wkh vwulsslqj vhfwlrq/ dqg wkh hqulfkphqw vhfwlrq/ furvvhv dw d srlqw ghvfulehg e wkh t0olqh,1 Wkh qxpehu ri wkhruhwlfdo wud v duh irxqg wr eh +vhh gldjudp, 6=;. 8=: soxv erlohu dqg frqghqvhu1 f, Wkh ihhg wud qxpehu lv 8=: frxqwhg iurp wkh wrs +qrw lqfoxglqj wkh frqghqvhu,1 g, Wkh plqlpxp uh x{ lv fdofxodwhg iurp { G.U plq zkhuh pd{ lv wkh srlqw ri lqwhuvhfwlrq ehwzhhq wkh olplwlqj rshudwlqj olqh dqg wkh 0d{lv1 Wkh dssur{lpdwh ydoxh lv +vhh wkh PfFdeh0Wklhoh gldjudp, zklfk jlyhv U h, w frqvwdqw uh x{ udwlrv lq wkh wzr froxpq vhfwlrqv/ dqg d frqvwdqw qxpehu ri wkhruhwlfdo wud v/ rqo wkh wrs dqg erwwrp frqfhqwudwlrqv zloo fkdqjh zkloh wkh +qhz, rshudwlqj olqhv zloo vwd sdudoohoo wr wkh rog rqhv1 Iurp wkh PfFdeh0 Wklhoh gldjudp lw lv vhhq wkdw wkh glvwloodwh frqfhqwudwlrq zloo gurs wr { G =::/ zkloh wkh erwwrp frqfhqwudwlrq zloo gurs wr { E? =1 Wr qg d pruh h{dfw erwwrp frqfhqwudwlrq d vfdoh0xs ri wkh gldjudp zrxog eh qhhghg +fuhglwv jlyhq wr wkrvh zkr xqghuwdnh wklv h{wud oderxu,1 8

Modified Brayton Refrigeration Cycles for Liquid Hydrogen in Spallation Neutron Source Moderator

Modified Brayton Refrigeration Cycles for Liquid Hydrogen in Spallation Neutron Source Moderator C19_007 1 Modified Brayton Refrigeration Cycles for Liquid Hydrogen in Spallation Neutron Source Moderator H.-M. Chang 1,2, S.G. Kim 1, J.G. Weisend II 2, H. Quack 3 1 Hong Ik University, Seoul, 121-791,

More information

AUST RALIA CSIRO LAN D and WATER

AUST RALIA CSIRO LAN D and WATER CSI RO AUST RALIA CSIRO LAN D and WATER GUIDELINES ON INSTALLATION AND MAINTENANCE OF LOW COST AUTOMATIC WEATHER STATIONS WITH PARTICULAR REFERENCE TO THE MEASUREMENT OF WET BULB TEMPERATURE IN ARID CLIMATES

More information

Cavitating structures at inception in turbulent shear flow

Cavitating structures at inception in turbulent shear flow Abstract 1. Introduction Cavitating structures at inception in turbulent shear flow *Corresponding Author, Joseph Katz: katz@jhu.edu Karuna Agarwal; Omri Ram; Joseph Katz* Department of Mechanical Engineering,

More information

An efficient and accurate carbon cycle model for use in simple climate models

An efficient and accurate carbon cycle model for use in simple climate models Working Paper 1999:1 Senter for klimaforskning Center for International Climate and Environmental Research - Oslo An efficient and accurate carbon cycle model for use in simple climate models Knut H. Alfsen

More information

A Correlation Study Between Electrical and Thermal Properties of Sodium Potassium Sulphate Crystals

A Correlation Study Between Electrical and Thermal Properties of Sodium Potassium Sulphate Crystals International Journal of Pure and Applied Physics ISSN 0973-1776 Volume 3 Number 1 (2007) pp. 1 9 Research India Publications http://www.ripublication.com/ijpap.htm A Correlation Study Between Electrical

More information

Ghflpdwlrq. Ghflpdwru= uhpryhv +G04, vdpsohv iurp hyhu G vdpsohv ri wkh ruljlqdo vljqdo. F y. = F x. Original Signal s(nt) Frequency Domain

Ghflpdwlrq. Ghflpdwru= uhpryhv +G04, vdpsohv iurp hyhu G vdpsohv ri wkh ruljlqdo vljqdo. F y. = F x. Original Signal s(nt) Frequency Domain Ghflpdwlrq s(nt) Low Pass Filter s 1 (nt) Decimator (D) s 2 (nt) F x F x F y F y = F x /D B f y /2 f x /2 Original Signal s(nt) Frequency Domain B Ideal Low Pass Filter f y /2 f x /2 s(nω) s 1 (nω) s 2

More information

Modeling Financial Incentives to Get Unemployed Back to Work

Modeling Financial Incentives to Get Unemployed Back to Work DISCUSSION PAPER SERIES IZA DP No. 108 Modeling Financial Incentives to Get Unemployed Back to Work Jan Boone Jan C. van Ours January 2000 Forschungsinstitut zur Zukunft der Arbeit Institute for the Study

More information

PHOTOVOLTAIC SOLAR ENERGY MODULAR TRAINER DL SOLAR-B Manual

PHOTOVOLTAIC SOLAR ENERGY MODULAR TRAINER DL SOLAR-B Manual PHOTOVOLTAIC SOLAR ENERGY MODULAR TRAINER DL SOLAR-B Manual DL SOLAR-B Contents 1. Solar energy: our commitment 5 to the environment 1.1. Basic principles and concepts 6 Mechanical work, energy and power:

More information

STANDARD OPERATING PROCEDURES FOR LEAD IN PAINT BY HOTPLATE ACID DIGESTIONS AND ATOMIC ABSORPTION

STANDARD OPERATING PROCEDURES FOR LEAD IN PAINT BY HOTPLATE ACID DIGESTIONS AND ATOMIC ABSORPTION STANDARD OPERATING PROCEDURES FOR LEAD IN PAINT BY HOTPLATE ACID DIGESTIONS AND ATOMIC ABSORPTION Disclaimer The information in this document has been funded wholly or in part by the United States Environmental

More information

Discrete Levels Control of Nonlinear Systems

Discrete Levels Control of Nonlinear Systems Discrete evels Control of Nonlinear Systems hotis G Skiadas and Nick Koussoulas aboratory for Automation and Robotics lectrical and Computer ngineering Department University of atras Rio atras 25 00, Greece

More information

arxiv:cond-mat/ v2 2 Nov 2000

arxiv:cond-mat/ v2 2 Nov 2000 Magnetic properties of a new molecular-based spin-ladder system: (5IAP) 2 CuBr 4 2H 2 O arxiv:cond-mat/0011016v2 2 Nov 2000 C. P. Landee 1, M. M. Turnbull 2, C. Galeriu 1, J. Giantsidis 2, and F. M. Woodward

More information

Session 5. Application of Jackknife Theory in Small Area Estimation

Session 5. Application of Jackknife Theory in Small Area Estimation Session 5 Application of Jackknife Theory in Small Area Estimation Jackknifing in The Fay-Herriot Model with An Example Jiming Jiang, P. Lahiri, Shu-Mei Wan, Chien-Hua Wu Abstract The paper reviews empirical

More information

Announcement. Faculty. Schedule. Handouts

Announcement. Faculty. Schedule. Handouts 4. Game Theory, Fall 00 4. Game Theory Fall 00 Announcement The final exam is on Friday, Dec., 9:00-:00 in Walker. The conflict exam will be on Thursday, December 0, 9:00-:00 in E5-085. Faculty Professor:

More information

Progress in Development of High Capacity Stirling Cryocooler Using a Linear Compressor

Progress in Development of High Capacity Stirling Cryocooler Using a Linear Compressor C19_009 1 Progress in Development of High Capacity Stirling Cryocooler Using a Linear Compressor J. Ko, H. Yeom, Y.J. Hong, H. Kim, S. In, S.J. Park Korea Institute of Machinery & Materials Daejeon, Korea(S),

More information

UNIT VII DUAL NATURE OF MATTER AND RADIATIONS (4marks) VERY SHORT ANSWER TYPE QUESTIONS:- 1. An electron and photon have same wavelength. Which one of the two has more energy? Relativistic energy of a

More information

Comparison of the rheologies of laterite and goethite suspensions

Comparison of the rheologies of laterite and goethite suspensions Korea-Australia Rheology Journal Vol. 16, No. 3, September 2004 pp. 109-115 Comparison of the rheologies of laterite and goethite suspensions David F. James* and Brian C. Blakey 1 Department of Mechanical

More information

2.500 Desalination and Water Purification

2.500 Desalination and Water Purification MIT OpenCourseWare http://ocw.mit.edu 2.500 Desalination and Water Purification Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. MASSACHUSETTS

More information

Structure and magnetism in iron clusters

Structure and magnetism in iron clusters Structure and magnetism in iron clusters G. Rollmann*, S. Sahoo, and P. Entel Institute of Physics, University of Duisburg-Essen, Duisburg Campus, 47048 Duisburg, Germany (Received ) Abstract We present

More information

SONDERFORSCHUNGSBEREICH 504

SONDERFORSCHUNGSBEREICH 504 SONDERFORSCHUNGSBEREICH 504 Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung No. 0-6 A Utilitarian Approach to the Provision and Pricing of Excludable Public Goods Martin Hellwig

More information

D-MAVT Membrane Separation Processes

D-MAVT Membrane Separation Processes Membrane Separation Processes Federico Milella Rate Controlled Separation - Autumn 2017 Separation Processes Laboratory - Institute of Process Engineering Agenda Introduction Mass balances over a membrane

More information

Social Conformity in Games with Many Players

Social Conformity in Games with Many Players Social Conformity in Games with Many Players Myrna Wooders, Edward Cartwright and Reinhard Selten NOTA DI LAVORO 121.2003 DECEMBER 2003 CTN Coalition Theory Network Myrna Wooders, Department of Economics,

More information

Applied Thermodynamics for Marine Systems Prof. P. K. Das Department of Mechanical Engineering Indian Institute of Technology, Kharagpur

Applied Thermodynamics for Marine Systems Prof. P. K. Das Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Applied Thermodynamics for Marine Systems Prof. P. K. Das Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture - 21 Psychometric Processes Good afternoon, yesterday we

More information

Let's look at the following "reaction" Mixtures. water + salt > "salt water"

Let's look at the following reaction Mixtures. water + salt > salt water Mixtures What happens to the properties (phase changes) when we make a solution? Let's look at the following "reaction" water + salt ------> "salt water" Which has the higher entropy? A. The water + the

More information

8VLQJ %HDPOLQH6LPXODWRU9

8VLQJ %HDPOLQH6LPXODWRU9 8VLQJ %HDPOLQH6LPXODWRU9 %\.XUW'HKQHODQG0RUJDQ'HKQHO 'HKQHO&RQVXOWLQJ/WG 32%R[ 1HOVRQ%&&DQDGD9/3 7HO )D[ (PDLOPGHKQHO#GHKQHOFD :HEKWWSZZZGHKQHOFRP 3XEOLVKHGE\$FFHO6RIW,QF32%R['HO0DU&DOLIRUQLD86$ KWWSZZZJKJDFRPDFFHOVRIW

More information

1. (25 points) C 6 H O 2 6CO 2 + 7H 2 O C 6 H O 2 6CO + 7H 2 O

1. (25 points) C 6 H O 2 6CO 2 + 7H 2 O C 6 H O 2 6CO + 7H 2 O MEEBAL Exam 2 November 2013 Show all work in your blue book. Points will be deducted if steps leading to answers are not shown. No work outside blue books (such as writing on the flow sheets) will be considered.

More information

Mixtures. What happens to the properties (phase changes) when we make a solution? Principles of Chemistry II. Vanden Bout

Mixtures. What happens to the properties (phase changes) when we make a solution? Principles of Chemistry II. Vanden Bout Mixtures What happens to the properties (phase changes) when we make a solution? Let's look at the following "reaction" water + salt ------> "salt water" Which has the higher entropy? A. The water + the

More information

Name: Discussion Section:

Name: Discussion Section: CBE 141: Chemical Engineering Thermodynamics, Spring 2018, UC Berkeley Midterm 1 February 13, 2018 Time: 80 minutes, closed-book and closed-notes, one-sided 8 ½ x 11 equation sheet allowed Please show

More information

Lecture 3: DESIGN CONSIDERATION OF DRIERS

Lecture 3: DESIGN CONSIDERATION OF DRIERS Lecture 3: DESIGN CONSIDERATION OF DRIERS 8. DESIGN OF DRYER Design of a rotary dryer only on the basis of fundamental principle is very difficult. Few of correlations that are available for design may

More information

Principles of Food and Bioprocess Engineering (FS 231) Solutions to Example Problems on Psychrometrics

Principles of Food and Bioprocess Engineering (FS 231) Solutions to Example Problems on Psychrometrics Principles of Food and Bioprocess Engineering (FS 21) Solutions to Example Problems on Psychrometrics 1. We begin by identifying the conditions of the two streams on the psychrometric chart as follows.

More information

1. Water Vapor in Air

1. Water Vapor in Air 1. Water Vapor in Air Water appears in all three phases in the earth s atmosphere - solid, liquid and vapor - and it is one of the most important components, not only because it is essential to life, but

More information

Solution KEY CONCEPTS

Solution KEY CONCEPTS Solution KEY CONCEPTS Solution is the homogeneous mixture of two or more substances in which the components are uniformly distributed into each other. The substances which make the solution are called

More information

Exam 1 (Chaps. 1-6 of the notes)

Exam 1 (Chaps. 1-6 of the notes) 10/12/06 ATS 541 - Atmospheric Thermodynamics and Cloud Physics 1 Exam 1 (Chaps. 1-6 of the notes) ATS 541 students: Answer all questions ATS 441 students: You may delete problem 3 or problem 5 1. [10

More information

Determination of adsorbable organically bound halogens (AOX) Solid materials

Determination of adsorbable organically bound halogens (AOX) Solid materials CEN/TC Date: 2003-08 TC WI CEN/TC Secretariat: Determination of adsorbable organically bound halogens (AOX) Solid materials Einführendes Element Haupt-Element Ergänzendes Element Élément introductif Élément

More information

P340: Thermodynamics and Statistical Physics, Exam#2 Any answer without showing your work will be counted as zero

P340: Thermodynamics and Statistical Physics, Exam#2 Any answer without showing your work will be counted as zero P340: hermodynamics and Statistical Physics, Exam#2 Any answer without showing your work will be counted as zero 1. (15 points) he equation of state for the an der Waals gas (n = 1 mole) is (a) Find (

More information

Chapter 11. General Chemistry. Chapter 11/1

Chapter 11. General Chemistry. Chapter 11/1 Chapter 11 Solutions and Their Properties Professor Sam Sawan General Chemistry 84.122 Chapter 11/1 Solutions Solution: A homogeneous mixture. Solvent: The major component. Solute: A minor component. Copyright

More information

Experimental Prediction of Nusselt Number and Coolant Heat Transfer Coefficient in Compact Heat Exchanger Performed with İ 178 Method

Experimental Prediction of Nusselt Number and Coolant Heat Transfer Coefficient in Compact Heat Exchanger Performed with İ 178 Method Experimental Prediction of Nusselt Number and Coolant Heat Transfer Coefficient in Compact Heat Exchanger Performed with İ 78 Method A. R. Esmaeili Sany M.Sc. Graduated, Mechanical Engineering Department,

More information

Towards Designing Environmentally Stable Conjugated Polymers with very Small Band-Gaps

Towards Designing Environmentally Stable Conjugated Polymers with very Small Band-Gaps 'HVLJQLQJ(QYLURQPHQWDOO\6WDEOH&RQMXJDWHG3RO\PHUV %XOO.RUHDQ&KHP6RF9RO1R Towards Designing Environmentally Stable Conjugated Polymers with very Small Band-Gaps Sung Y. Hong * and Sung C. Kim Department

More information

Zonglu He Risshikan University Koichi Maekawa Hiroshima University Michael McAleer University of Western Australia March 2003

Zonglu He Risshikan University Koichi Maekawa Hiroshima University Michael McAleer University of Western Australia March 2003 CRJE-F-2 Asymptotic Properties of the Estimator of the Long-run Coefficient in adynamic Model with ntegrated Regressors and Serially Correlated Errors Zonglu He Risshikan University Koichi Maekawa Hiroshima

More information

Theory. Humidity h of an air-vapor mixture is defined as the mass ratio of water vapor and dry air,

Theory. Humidity h of an air-vapor mixture is defined as the mass ratio of water vapor and dry air, Theory Background In a cooling tower with open water circulation, heat is removed from water because of the material and heat exchange between the water and the ambient air. The cooling tower is a special

More information

The Effect of Missing Data on Sample Sizes for Repeated Measures Models

The Effect of Missing Data on Sample Sizes for Repeated Measures Models The Effect of Missing Data on Sample Sizes for Repeated Measures Models Maribeth Johnson Medical College of Georgia Augusta GA Pete Davis University of Georgia Athens GA ABSTRACT Researchers involved with

More information

70 Example: If a solution is m citric acid, what is the molar concentration (M) of the solution? The density of the solution is 1.

70 Example: If a solution is m citric acid, what is the molar concentration (M) of the solution? The density of the solution is 1. 70 Example: If a solution is 0.688 m citric acid, what is the molar concentration (M) of the solution? The density of the solution is 1.049 g/ml molality definition molarity definition To solve the problem,

More information

Freezing point depression - The freezing temperature of a SOLUTION gets lower as the CONCENTRATION of a solution increases.

Freezing point depression - The freezing temperature of a SOLUTION gets lower as the CONCENTRATION of a solution increases. 73 COLLIGATIVE PROPERTIES - properties unique to solutions. - depend only on the CONCENTRATION of a solution and not the IDENTITY of the solute** **ionic solutes: Remember that they dissociate into MULTIPLE

More information

Equations: q trans = 2 mkt h 2. , Q = q N, Q = qn N! , < P > = kt P = , C v = < E > V 2. e 1 e h /kt vib = h k = h k, rot = h2.

Equations: q trans = 2 mkt h 2. , Q = q N, Q = qn N! , < P > = kt P = , C v = < E > V 2. e 1 e h /kt vib = h k = h k, rot = h2. Constants: R = 8.314 J mol -1 K -1 = 0.08206 L atm mol -1 K -1 k B = 0.697 cm -1 /K = 1.38 x 10-23 J/K 1 a.m.u. = 1.672 x 10-27 kg 1 atm = 1.0133 x 10 5 Nm -2 = 760 Torr h = 6.626 x 10-34 Js For H 2 O

More information

Colligative Properties

Colligative Properties Colligative Properties Vapor pressures have been defined as the pressure over a liquid in dynamic equilibrium between the liquid and gas phase in a closed system. The vapor pressure of a solution is different

More information

Chapter 13 Properties of Solutions

Chapter 13 Properties of Solutions Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Chapter 13 Properties of John D. Bookstaver St. Charles Community College St. Peters, MO 2006,

More information

Chem 51, Spring 2015 Exam 8 (Chp 8) Use your Scantron to answer Questions There is only one answer for each Question. Questions are 2 pt each.

Chem 51, Spring 2015 Exam 8 (Chp 8) Use your Scantron to answer Questions There is only one answer for each Question. Questions are 2 pt each. Chem 51, Spring 2015 Exam 8 (Chp 8) Name 120 pt Use your Scantron to answer Questions 1-32. There is only one answer for each Question. Questions are 2 pt each. CHP 8.1 Solutions are Mixtures 1. A saturated

More information

Some critical issues in developing two-phase thermal control systems for space

Some critical issues in developing two-phase thermal control systems for space Nationaal Lucht- en Ruimtevaartlaboratorium National Aerospace Laborator y NLR Some critical issues in developing two-phase thermal control systems for space A.A.M. Delil 1DWLRQDDO/XFKWHQ5XLPWHYDDUWODERUDWRULXP

More information

Physical Properties of Solutions

Physical Properties of Solutions Physical Properties of Solutions Chapter 12 Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 12.1- Types of solutions A solution is a homogenous mixture of 2 or

More information

Properties of Solutions

Properties of Solutions Properties of Solutions Reading: Ch 11, section 8 Ch 12, sections 1-8 * = important homework question Homework: Chapter 11: 85*, 87 Chapter 12: 29, 33, 35, 41, 51*, 53, 55, 63*, 65, 67*, 69, 71, 75*, 79*,

More information

- Applications: In chemistry, this effect is often used to determine the molecular weight of an unknown molecule.

- Applications: In chemistry, this effect is often used to determine the molecular weight of an unknown molecule. 73 FREEZING POINT DEPRESSION concentration of solute (molality) Freezing point depression constant (for SOLVENT) Freezing point depression: The amount the freezing temperature is LOWERED by the solute.

More information

Chapter 13. Properties of Solutions. Lecture Presentation. John D. Bookstaver St. Charles Community College Cottleville, MO

Chapter 13. Properties of Solutions. Lecture Presentation. John D. Bookstaver St. Charles Community College Cottleville, MO Lecture Presentation Chapter 13 Properties of John D. Bookstaver St. Charles Community College Cottleville, MO are homogeneous mixtures of two or more pure substances. In a solution, the solute is dispersed

More information

A PAIR-WISE APPROACH TO TESTING FOR OUTPUT

A PAIR-WISE APPROACH TO TESTING FOR OUTPUT A PAIR-WISE APPROACH TO TESTING FOR OUTPUT AND GROWTH CONVERGENCE M. HASHEM PESARAN CESIFO WORKING PAPER NO. 1308 CATEGORY 6: MONETARY POLICY AND INTERNATIONAL FINANCE OCTOBER 2004 An electronic version

More information

ME 354 Tutorial, Week#13 Reacting Mixtures

ME 354 Tutorial, Week#13 Reacting Mixtures ME 354 Tutorial, Week#13 Reacting Mixtures Question 1: Determine the mole fractions of the products of combustion when octane, C 8 H 18, is burned with 200% theoretical air. Also, determine the air-fuel

More information

Chemistry 103 Spring 2010

Chemistry 103 Spring 2010 Today 1. Factors affecting solubility. 2. Colligative properties. Announcements 1. OWL homework for Ch. 14 due next week. 2. DROP deadline on Apr. 6, Tuesday. 3. ADD deadline on Apr. 12, Monday. 4. First

More information

)ACULTY OF 0ATHEMATICS AND 3HYSICS &OMENIUS 8NIVERSITY %RATISLAVA,NSTITUTE OF,NFORMATICS

)ACULTY OF 0ATHEMATICS AND 3HYSICS &OMENIUS 8NIVERSITY %RATISLAVA,NSTITUTE OF,NFORMATICS )ACULTY OF 0ATHEMATICS AND 3HYSICS &OMENIUS 8NIVERSITY %RATISLAVA,NSTITUTE OF,NFORMATICS 8NSUPERVISED 1EURAL 1ETWORKS /EARNING 5ULES %&0 /EARNING 5ULE AND,TS &OMPUTATIONAL 3ROPERTIES Diploma Thesis $UTHOR

More information

Gilbert Kirss Foster. Chapter 11. Properties of Solutions. Their Concentrations and Colligative Properties

Gilbert Kirss Foster. Chapter 11. Properties of Solutions. Their Concentrations and Colligative Properties Gilbert Kirss Foster Chapter 11 Properties of Solutions Their Concentrations and Colligative Properties Chapter Outline 11.1 Energy Changes when Substances Dissolve 11.2 Vapor Pressure 11.3 Mixtures of

More information

First Law of Thermodynamics

First Law of Thermodynamics First Law of Thermodynamics Remember: ΔE univ = 0 Total energy of the universe is constant. Energy can be transferred: ΔE = q + w q = heat w = work (F*D) = ΔPV 1 st Law, review For constant volume process:

More information

Chapter 12.4 Colligative Properties of Solutions Objectives List and define the colligative properties of solutions. Relate the values of colligative

Chapter 12.4 Colligative Properties of Solutions Objectives List and define the colligative properties of solutions. Relate the values of colligative Chapter 12.4 Colligative Properties of Solutions Objectives List and define the colligative properties of solutions. Relate the values of colligative properties to the concentrations of solutions. Calculate

More information

Non-Reacting Gas Mixtures. Introduction. P-V-T Relationships for Ideal Gas Mixtures. Amagat Model (law of additive volumes)

Non-Reacting Gas Mixtures. Introduction. P-V-T Relationships for Ideal Gas Mixtures. Amagat Model (law of additive volumes) Non-Reacting Gas Mixtures Reading Problems 13-1 13-3 13-52, 13-60 14-1 14-7 14-32, 14-35, 14-68, 14-71, 14-75 14-79, 14-103, 14-112 Introduction homogeneous gas mixtures are frequently treated as a single

More information

solubility solubilities that increase with increasing temperature

solubility solubilities that increase with increasing temperature Solubility The concentration of the solute in a saturated solution is the solubility of the solute About 95% of all ionic compounds have aqueous solubilities that increase with increasing temperature Temperature

More information

Chapter 13. Properties of Solutions

Chapter 13. Properties of Solutions Chapter 13 Properties of Solutions Warm - Up Why doesn t salt dissolve in nonpolar solvents such as hexane? How does the orientation of water around Na + differ from the orientation of water around Cl

More information

THERMODYNAMICS, FLUID AND PLANT PROCESSES. The tutorials are drawn from other subjects so the solutions are identified by the appropriate tutorial.

THERMODYNAMICS, FLUID AND PLANT PROCESSES. The tutorials are drawn from other subjects so the solutions are identified by the appropriate tutorial. THERMODYNAMICS, FLUID AND PLANT PROCESSES The tutorials are drawn from other subjects so the solutions are identified by the appropriate tutorial. THERMODYNAMICS TUTORIAL 2 THERMODYNAMIC PRINCIPLES SAE

More information

Chemistry 431 Practice Final Exam Fall Hours

Chemistry 431 Practice Final Exam Fall Hours Chemistry 431 Practice Final Exam Fall 2018 3 Hours R =8.3144 J mol 1 K 1 R=.0821 L atm mol 1 K 1 R=.08314 L bar mol 1 K 1 k=1.381 10 23 J molecule 1 K 1 h=6.626 10 34 Js N A = 6.022 10 23 molecules mol

More information

Estimates of abundance south of 60 S for cetacean species sighted frequently on the 1978/79 to 1997/98 IWC/IDCR-SOWER sighting surveys

Estimates of abundance south of 60 S for cetacean species sighted frequently on the 1978/79 to 1997/98 IWC/IDCR-SOWER sighting surveys J. CETACEAN RES. MANAGE. 3(3):251 270 2001 251 Estimates of abundance south of S for cetacean species sighted frequently on the 1978/79 to 1997/98 IWC/IDCR-SOWER sighting surveys T.A. Branch *+ and D.S.

More information

Kinematics and Controlling Mechanics of the Slow Moving Ripley Landslide. Matthew B. Schafer

Kinematics and Controlling Mechanics of the Slow Moving Ripley Landslide. Matthew B. Schafer Kinematics and Controlling Mechanics of the Slow Moving Ripley Landslide by Matthew B. Schafer A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science In Geotechnical

More information

x =!b ± b2! 4ac 2a moles particles solution (expt) moles solute dissolved (calculated conc ) i =

x =!b ± b2! 4ac 2a moles particles solution (expt) moles solute dissolved (calculated conc ) i = Properties of Solution Practice Exam Solutions Name (last) (First) Read all questions before you start. Show all work and explain your answers. Report all numerical answers to the proper number of sig.

More information

75 A solution of 2.500g of unknown dissolved in g of benzene has a freezing point of C. What is the molecular weight of the unknown?

75 A solution of 2.500g of unknown dissolved in g of benzene has a freezing point of C. What is the molecular weight of the unknown? 75 A solution of 2.500g of unknown dissolved in 100.0 g of benzene has a freezing point of 4.880 C. What is the molecular weight of the unknown? Solving for Cm (molality) will allow us to calculate how

More information

CP Chapter 15/16 Solutions What Are Solutions?

CP Chapter 15/16 Solutions What Are Solutions? CP Chapter 15/16 Solutions What Are Solutions? What is a solution? A solution is uniform that may contain solids, liquids, or gases. Known as a mixture Solution = + o Solvent The substance in abundance

More information

Chapter 4 Water Vapor

Chapter 4 Water Vapor Chapter 4 Water Vapor Chapter overview: Phases of water Vapor pressure at saturation Moisture variables o Mixing ratio, specific humidity, relative humidity, dew point temperature o Absolute vs. relative

More information

Slide 1. Slide 2. Slide 3. Colligative Properties. Compounds in Aqueous Solution. Rules for Net Ionic Equations. Rule

Slide 1. Slide 2. Slide 3. Colligative Properties. Compounds in Aqueous Solution. Rules for Net Ionic Equations. Rule Slide 1 Colligative Properties Slide 2 Compounds in Aqueous Solution Dissociation - The separation of ions that occurs when an ionic compound dissolves Precipitation Reactions - A chemical reaction in

More information

Unit 7. Solution Concentrations and Colligative Properties

Unit 7. Solution Concentrations and Colligative Properties Unit 7 Solution Concentrations and Colligative Properties Molarity Most widely used concentration unit [HCl] means concentration of HCl in mol/l Notice volume is total volume of solution Molarity (M)=

More information

CH302 Spring 2009 Practice Exam 1 (a fairly easy exam to test basic concepts)

CH302 Spring 2009 Practice Exam 1 (a fairly easy exam to test basic concepts) CH302 Spring 2009 Practice Exam 1 (a fairly easy exam to test basic concepts) 1) Complete the following statement: We can expect vapor pressure when the molecules of a liquid are held together by intermolecular

More information

Thermodynamics Introduction and Basic Concepts

Thermodynamics Introduction and Basic Concepts Thermodynamics Introduction and Basic Concepts by Asst. Prof. Channarong Asavatesanupap Mechanical Engineering Department Faculty of Engineering Thammasat University 2 What is Thermodynamics? Thermodynamics

More information

Consequences of Second Law of Thermodynamics. Entropy. Clausius Inequity

Consequences of Second Law of Thermodynamics. Entropy. Clausius Inequity onsequences of Second Law of hermodynamics Dr. Md. Zahurul Haq Professor Department of Mechanical Engineering Bangladesh University of Engineering & echnology BUE Dhaka-000, Bangladesh zahurul@me.buet.ac.bd

More information

For this problem you might also need to know that 1 kcal = kj and that the specific heat capacity of water at 25 C is 1 kcal/(kg K).

For this problem you might also need to know that 1 kcal = kj and that the specific heat capacity of water at 25 C is 1 kcal/(kg K). Umeå Universitet Department of Physics Peter Olsson Examination, Thermodynamics B, 6hp, 2017 03 04, at 9:00 15:00. Allowed aids: Calculator, Beta, Physics Handbook, english dictionary, one A4-sized paper

More information

2 FWUHRW LGH /$ 5 K* + SUR ILOH /DV W LQ MH FW LR Q 2 F WUHRW LG H /$ 5 K* + SUR ILOH V :D VKR X W K* + SUR ILOH /DV W LQ MHFW LR Q /D QUHR W LG H$ XWR JH O K* + S UR ILOHV :LWKGUDZDO :LWKGUDZDO \UV ZNV

More information

School of Chemical & Biological Engineering, Konkuk University

School of Chemical & Biological Engineering, Konkuk University School of Chemical & iological Engineering, Konkuk University Lecture 7 Ch. 5 Simple Mixtures Colligative properties Prof. Yo-Sep Min Physical Chemistry I, Spring 2009 Ch. 5-2 he presence of a solute in

More information

Properties of Solutions. Chapter 13

Properties of Solutions. Chapter 13 Properties of Solutions Chapter 13 Sodium acetate crystals rapidly form when a seed crystal is added to a supersaturated solution of sodium acetate. Saturated solution: contains the maximum amount of a

More information

Outline. Aim. Gas law. Pressure. Scale height Mixing Column density. Temperature Lapse rate Stability. Condensation Humidity.

Outline. Aim. Gas law. Pressure. Scale height Mixing Column density. Temperature Lapse rate Stability. Condensation Humidity. Institute of Applied Physics University of Bern Outline A planetary atmosphere consists of different gases hold to the planet by gravity The laws of thermodynamics hold structure as vertical coordinate

More information

Subject: Principles of Refrigeration and Air Conditioning Lecturer: Assistant Professor Dr. Waheed Shaty Mohammed

Subject: Principles of Refrigeration and Air Conditioning Lecturer: Assistant Professor Dr. Waheed Shaty Mohammed Subject: Principles of Refrigeration and Air Conditioning Lecturer: Assistant Professor Dr. Waheed Shaty Mohammed Refrences: 1-A. R. Trott and T. Welch " Refrigeration and Air conditioning ",Third Edition

More information

THE ALIGNMENT OF PERFORMANCE MEASUREMENT WITH THE MANUFACTURING SYSTEM DESIGN <RQJ6XN.LP \VNLP#PLWHGX *UDGXDWH5HVHDUFK$VVLVWDQW

THE ALIGNMENT OF PERFORMANCE MEASUREMENT WITH THE MANUFACTURING SYSTEM DESIGN <RQJ6XN.LP \VNLP#PLWHGX *UDGXDWH5HVHDUFK$VVLVWDQW THE ALIGNMENT OF PERFORMANE MEAUREMENT WITH THE MANUFATURING YTEM DEIGN IAD058 'DYLG6&RFKUDQ GFRFKUDQ#PLWHGX $VVLVWDQW3URIHVVRU

More information

Design Of Fuzzy Controllers

Design Of Fuzzy Controllers Design Of Fuzzy Controllers Jan Jantzen jj@iau.dtu.dk: 1 $EVWUDFW Design of a fuzzy controller requires more design decisions than usual, for example regarding rule base, inference engine, defuzzification,

More information

INDUSTRIAL EXPERIENCE WITH HYBRID DISTILLATION PERVAPORATION OR VAPOR PERMEATION APPLICATIONS

INDUSTRIAL EXPERIENCE WITH HYBRID DISTILLATION PERVAPORATION OR VAPOR PERMEATION APPLICATIONS INDUSTRIAL EXPERIENCE WITH HYBRID DISTILLATION PERVAPORATION OR VAPOR PERMEATION APPLICATIONS Mario Roza, Eva Maus Sulzer Chemtech AG, Winterthur, Switzerland; E-mails: mario.roza@sulzer.com, eva.maus@sulzer.com

More information

Shannon Security Perfect Security. Jan 26 abhi shelat

Shannon Security Perfect Security. Jan 26 abhi shelat L2 6501 Shannon Security Perfect Security Jan 26 abhi shelat review CONDITIONAL PROBABILITY Pr[A B] = Experiment: EXAMPLE EXAMPLE Experiment: I Flip 10 quarters. EVENT A: Exactly 6 coins are tails. EXAMPLE

More information

IMBA Introduction. rehabilitation. and integration. The Instrument. for. specialists in job. German Ministry of Labour and Social Affairs

IMBA Introduction. rehabilitation. and integration. The Instrument. for. specialists in job. German Ministry of Labour and Social Affairs The Instrument for specialists in job rehabilitation and integration IMBA Introduction Supported by the German Ministry of Labour and Social Affairs * ) A @ E? E A 6 A! # ' % # #. = N! # ' % #, H A @ 0

More information

Chapter 13 Properties of Solutions

Chapter 13 Properties of Solutions Chemistry, The Central Science, 11th edition Theodore L. Brown, H. Eugene LeMay, Jr., and Bruce E. Bursten Chapter 13 Properties of John D. Bookstaver St. Charles Community College Cottleville, MO Chapter

More information

Colligative Properties

Colligative Properties Slide 1 Colligative Properties Practical uses of solutions Slide 2 Units of Concentration Whatever units you use, the goal is the same: specify the quantity of 1 component (the solute s ) relative to the

More information

Physical Chemistry I CHEM 4641 Final Exam 13 questions, 30 points

Physical Chemistry I CHEM 4641 Final Exam 13 questions, 30 points Physical Chemistry I CHEM 4641 Final Exam 13 questions, 30 points Name: KEY Gas constant: R = 8.314 J mol -1 K -1 = 0.008314 kj mol -1 K -1. Boltzmann constant k = 1.381 10-23 J/K = 0.6950 cm -1 /K h =

More information

CAE 331/513 Building Science Fall 2015

CAE 331/513 Building Science Fall 2015 CAE 331/513 Building Science Fall 2015 Week 5: September 24, 2015 Psychrometrics (equations) Advancing energy, environmental, and sustainability research within the built environment www.built-envi.com

More information

Problem 3. Solution. [mol/s]: Overall mass balance. Balance of water) Balance

Problem 3. Solution. [mol/s]: Overall mass balance. Balance of water) Balance Solution Problem 3 (i) We assume ideal gas. Then volume flow at the inlet is V = nrt/ /p = 10^4*8..31*283/e5 = 235 m3/s V = v*a, where it is given that v= =1m/s, so A = V/v = 233.5 m3/ s / 1 m/s = 235

More information

FEASIBILITY STUDY OF NEW MICROSCOPIC FISSION CHAMBERS DEDICATED FOR ADS

FEASIBILITY STUDY OF NEW MICROSCOPIC FISSION CHAMBERS DEDICATED FOR ADS FEASIBILITY STUDY OF NEW MICROSCOPIC FISSION CHAMBERS DEDICATED FOR ADS M. Fadil, D. Ridikas, 1 O. Déruelle, G. Fioni, M-L. Giacri, A. Letourneau and F. Marie CEA Saclay, DSM/DAPNIA/SPhN, F-91191 Gif-sur-Yvette,

More information

Temi di discussione. del Servizio Studi. Endogenous monetary policy with unobserved potential output. by Alex Cukierman and Francesco Lippi

Temi di discussione. del Servizio Studi. Endogenous monetary policy with unobserved potential output. by Alex Cukierman and Francesco Lippi Temi di discussione del Servizio Studi Endogenous monetary policy with unobserved potential output by Alex Cukierman and Francesco Lippi Number 493 - June 2004 The purpose of the Temi di discussione series

More information

PHYSICAL PROPERTIES OF SOLUTIONS

PHYSICAL PROPERTIES OF SOLUTIONS PHYSICAL PROPERTIES OF SOLUTIONS Do all the exercises in your study guide. PHYSICAL PROPERTIES OF SOLUTIONS A solution is a homogeneous mixture of a solute and a solvent. A solvent is a substance that

More information

Sample Problem. (b) Mass % H 2 SO 4 = kg H 2 SO 4 /1.046 kg total = 7.04%

Sample Problem. (b) Mass % H 2 SO 4 = kg H 2 SO 4 /1.046 kg total = 7.04% A Sample 0.750 M solution Problem of H 2 SO 4 in water has a density of 1.046 g/ml at 20ºC. What is the concentration in (a) mole fraction, (b) mass percent, (c) molality (MM = 98.086 g/mol)? (a) Since

More information

(Refer Slide Time: 0:17)

(Refer Slide Time: 0:17) (Refer Slide Time: 0:17) Engineering Thermodynamics Professor Jayant K Singh Department of Chemical Engineering Indian Institute of Technology Kanpur Lecture 36 Entropy balance in closed system and control

More information

R13. II B. Tech I Semester Regular Examinations, Jan THERMODYNAMICS (Com. to ME, AE, AME) PART- A

R13. II B. Tech I Semester Regular Examinations, Jan THERMODYNAMICS (Com. to ME, AE, AME) PART- A SET - 1 II B. Tech I Semester Regular Examinations, Jan - 2015 THERMODYNAMICS (Com. to ME, AE, AME) Time: 3 hours Max. Marks: 70 Note 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answer

More information

Solutions and Their Properties

Solutions and Their Properties Chapter 11 Solutions and Their Properties Solutions: Definitions A solution is a homogeneous mixture. A solution is composed of a solute dissolved in a solvent. When two compounds make a solution, the

More information

MAHALAKSHMI ENGINEERING COLLEGE

MAHALAKSHMI ENGINEERING COLLEGE MAHALAKSHMI ENGINEERING COLLEGE TIRUCHIRAPALLI 621 213. Department: Mechanical Subject Code: ME2202 Semester: III Subject Name: ENGG. THERMODYNAMICS UNIT-I Basic Concept and First Law 1. What do you understand

More information

Mass Transfer Operations I Prof. Bishnupada Mandal Department of Chemical Engineering Indian Institute of Technology, Guwahati

Mass Transfer Operations I Prof. Bishnupada Mandal Department of Chemical Engineering Indian Institute of Technology, Guwahati Mass Transfer Operations I Prof. Bishnupada Mandal Department of Chemical Engineering Indian Institute of Technology, Guwahati Module - 4 Absorption Lecture - 4 Packed Tower Design Part - 3 Welcome to

More information