5HC - October 1999

Part A (20 x 2 = 40 Marks)

- What is path function?
- Explain internal energy
- When will be the kinetic energy of molecules zero?
- What are the various steps involved in a Carnot cycle?
- Define entropy
- What is compressibility factor?
- Explain reversible process
- What is an open system?
- Define third law of thermodynamics
- Explain the multistage compression
- Define excess property
- Explain C.O.P
- Define one ton of refrigeration
- Define standard heat of reaction
- Explain equilibrium constant
- What is heat pump?
- Explain activity
- State Vander Waals equation of state
- Define chemical potential
- What is the significance of van Laar equation?
- (a) Derive the first law of thermodynamics for open system (5)
- (a) Define absolute temperature (3)
- (a) Explain virial equation of state (5)
- (a) Explain the effect of clearance on volumetric efficiency (5)
- Prove the following:
- Show that
- What does Gibbs-Duhem equation relate? Derive various forms of Gibbs-Duhem equation
- (a) Distinguish between Raoult's law and Henry's law (4)
- Derive the relation between standard Gibbs free energy change and the equilibrium constant
- A gas mixture containing 25% CO, 55% H
_{2}and 20% inerts is used for methanol synthesis at 300 bar 623 K. If the gas coming from the catalyst chamber is in chemical equilibrium with respect to the reaction,

Part B (5 x 12 = 60 Marks)

(b) Gas is compressed at the rate of 0.2 m^{3}/min (25^{o}C, 1 atm) to 50 atm. If heat losses during the operation are 1 kcal/min, what is the enthalpy change? State assumptions (7)

Or

(b) A reversible heat engine absorbs 1000 kcal of heat at 327^{o}C and produces work and discards heat at 29^{o}C. What is the change in entropy of heat source and heat sink? What is the total entropy change resulting from the process? (9)

(b) Deduce expressions for 'P_{C}' and 'T_{C}' in terms of van der Waal's constants (7)

Or

(b) Air is compressed from 101.3 kPa and 298 K to 1012 kPa in a two stage compressor at the rate of 5 m^{3}/min. If the compression follows PV^{1.3} = C, calculate the work of compression (7)

(a) C_{P} - C_{V} = R for ideal gas

(b) for ideal gas

Or

(a)

(b)

Or

(b) Calculate the vapor phase composition of Benzene and toluene mixture in equilibrium with into liquid mixture at one atmosphere and 80^{o}C. Pure component vapor pressures of Benzene and toluene at 80^{o}C are 760 and 300 mm Hg respectively (8)

Or

CO + 2H_{2} à CH_{3}OH

What percent of carbon monoxide would have been converted, if the equilibrium constant is 1.4 x 10^{-4}?