UPTU Previous Question Papers
VI Semester TCH Examination 2006-07
Chemical Engineering Thermodynamics
Note : Attempt all questions.
1. Attempt any two parts of the following :
(a) Fifty (50) kmol per hour of air is compressed from Pj = 1.2 bar to P2 = 6.0 bar in a steady flow compressor. Delivered mechanical power is 98.8 kW. Temperature and velocities are:
T1= 300 K T2 = 520 K
U2 = 10ms_1 U2 = 3.5 ms-1
Estimate the rate of heat transfer from the compressor. Assume for air that Cp = 7/2R and that enthalpy is impendent of pressure.
(b) In a steady-state flow process 1 mol S-1 of air at 600 K and 1 atm is continuously mixed with 2 mol S-1 of air at 450 K and 1 atm. The product stream is at 400 K and 1 atm. Determining the rate of heat transfer and the rate of entropy generation for the process. Assume that air is an ideal gas with Cp = 7/ 2 R. That the surroundings are at 300 K and that kinetic and potential energy charges are negligible.
Derive relation for calculation of ideal work in a steady state flow process. What is lost work?
2. Attempt any two parts of the following :
(a) Calculate the fugacity of C ammonia at
|= 200°C and P =||100 atm if|
|P, atm||V0 – cm|
(b) Derive following relations :
(c) Reported values for the virial co-efficients of Isopropanol vapour at 200°C are :
B = -388 cm3 mol-1
C = -26,000 cm6mor2–
Calculate V and Z for Isopropanol vapour at 200°C and 10 bar with the help of the virial equation truncated to three terms.
3. Attempt any four parts of the following :
(a) What is change in entropy when 0.7 m3 of C02 and 0.3 m3 of N2 each at 1 bar and 25°C blend to form a gas mixture at the same condition? Assume ideal gases.
(b) Derive Cribbs Duhem equations.
(c) Derive fundamental property relation.
(d) Show that = Gf + RT In yt
(e) If -^7 = (-2.6 x1 – 1.8x2 ) xjx2
Find expressions for In yj and In y2 .
(f) Show that multiple phases at the same T and P are in equilibrium when the chemical potential of each constituents species in the same in all phases.
4. Attempt any four parts of the following :
(a) Define ideal solution. What is Lewis/Randall rule?
(b) Derive Margules equation.
(c) Define the critical point of a mixture. Show a portion of a PT diagram in the critical region.
(d) Draw P-xy and T-xy diagram for azeotropic mixture.
(e) Explain the characteristics of vapour / liquid / liquid equilibrium with help of a T-xy diagram.
(f) Show T xy and P xy diagram for binary system of immiscible liquids.
5. Answer any two parts of the following :
(a) Derive the following :
(>) Ew =0
(ii) ;ag° = -£ag*>
(b) Develop relation for equilibrium constants for gas-phase reaction.
(c) One kilo mol of Carbon at 25°C reacts with 2 kmol of oxygen at 25°C to form an equilibrium mixture of C02, CO and 02 at 3000 K, 0.1 MPa pressure. Determine the equilibrium composition. Data : K=0.1089