GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- V(OLD) EXAMINATION - SUMMER 2019
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Subject Code:150503 Date:31/05/2019Subject Name:Chemical Engineering Thermodynamics - I1
Time:02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 Define thermodynamic equilibrium. Explain chemical potential as criteria for phase equilibrium. 07
Q.2 Define partial molar property. Derive summability relation and Gibbs/Duhem equation. 07
Q.3 With neat sketch describe phase diagrams for partially miscible systems. 07
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Q.3 Describe the effect of temperature and pressure on fugacity. 07
OR
(b) Explain the phenomena of retrograde condensation. 07
(b) Explain block diagram for bubble point temperature calculation. 07
Q.4 The enthalpy of a binary liquid system of species 1 and 2 at fixed T and P is represented by the equation:
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H = 400x1 + 600x2 + x1x2 (40x1 + 20x2)Determine the expressions for H1 and H2 as a function of x1. Calculate the values of H1, H2, H1¯ and H2¯ 07
OR
(b) Define azeotrope. What kind of azeotrope is a system likely to form if it exhibits large positive deviation from Raoult’s law? Explain. 07
(b) For the system methanol and methyl acetate, the following equation provide reasonable correlation for activity coefficient:
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ln ?1 = Ax2² ln ?2 = Ax1²A = 2.771 - 0.00523T
ln P1? = 16.591 - 3643.31 / (T - 33.424) and ln P2? = 14.253 - 2665.54 / (T - 53.424)
where T in K and vapor pressures are in kPa. Assuming the validity of modified Raoults law, calculate P and y1 for T = 318.15 K and x1 = 0.25. 07
Q.5 At 25 °C the density of a methanol (1) — water (2) solution at x1 = 0.7779 is 825.959 kg/m³. Partial molar volume of water in this solution is 15.686 x 10?6 m³/mol. Determine the partial molar volume of methanol in the solution. 07
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Q.5 Derive phase rule for reacting system. 07
OR
(b) Estimate the fugacity coefficient of methane in a mixture of methane and nitrogen at 200 K and 30 bar, if the mixture contains 40 mol% N2. 07
Data given:
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Experimental virial coefficient data are as follows:B11 = -35.2 cm³/mol, B22 = -105 cm³/mol, B12 = -59.8 cm³/mol
(b) List out various methods for evaluation of fugacity coefficient of pure component. Discuss any one in detail. 07
Q.6 Derive the expression relating equilibrium constant (K) with standard Gibbs energy change (?G°) at constant temperature and pressure. 07
Q.6 For a system in which following reaction occurs,
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CH4 + H2O ? CO + 3H2assume there are present initially 2 mol CH4, 1 mol H2O, 1 mol CO and 4 mol H2. Determine expressions for the mole fractions y? as a function of e. 07
OR
(b) Explain the method of Lagrange’s undetermined multipliers for gas phase reaction to minimize total Gibbs free energy. 07
(b) Consider the system in which the following reaction occurs:
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CH4 + H2O ? CO + 3H2 ...(1)CH4 + 2H2O ? CO2 + 4H2 ....(2)
If there are present initially 2 mol of CH4 and 3 mol of H2O. Determine expressions for the y? as a functions of the e1 and e2. 07
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