(a) Explanation Write the expression for reduced pressure of mixture. p R = p p C (I) Here, the pressure is p and the critical pressure of mixture is p C . Write the expression for the pseudo reduced specific volume. v ¯ = Z R ¯ T 1 p 1 (II) Here, the universal gas constant is R ¯ , the temperature of ethylene is T 1 , the pressure of ethylene is p 1 and the molar specific volume of ethylene is v ¯ . Write the expression for final amount of ethylene. n C 2 H 4 = 0.8 n m i x Here, the number of mole of ethylene is n C 2 H 4 and the number of moles of mixture is n m i x . Write the expression for the specific volume of ethylene. v ¯ = 2 v ¯ m n m i x (III) Substitute 0.8 n m i x for n C 2 H 4 in Equation (III). v ¯ = v ¯ m 2 0.8 n m i x ( v ¯ m n m i x ) = 1.6 v ¯ (IV) Write the expression for final amount of carbon dioxide. n C O 2 = 0.2 n m i x Write the expression for the specific volume of carbon dioxide. v ¯ 2 = v ¯ m 2 n C O 2 (V) Here, the molar specific volume of mixture is v ¯ m . Substitute 0.2 n m i x for n C O 2 in Equation (III). v ¯ 2 = v ¯ m 2 0.2 n m i x v ¯ 2 = v ¯ m 0.4 n m i x Write the expression for the pseudo specific volume of carbon dioxide. v 2 ' = v ¯ 2 p R ¯ T (VI) Substitute v ¯ m 0.4 n m i x for v ¯ 2 in Equation (IV). v 2 ' = v ¯ m 0.4 n m i x p R ¯ T (VII) Write the expression for the reduced temperature at initial state. T R 1 = T T C 1 (VIII) Write the expression for pressure at initial state. p = p R p C (IX) Conclusion: Refer Table A-1 “Atomic or Molecular weights and critical properties of selected elements and compounds” to obtain value of critical temperature of ethylene as 510 R and critical pressure of ethylene as 50.5 atm for ethylene. Substitute 50.5 atm for p c and 1480 lbf / in 2 for p m i x in Equation (I). p R = 1480 lbf / in 2 50 (b) To determine The final pressure of mixture.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 11.9, Problem 104P

(a)

To determine

The initial pressure of carbon dioxide.

(b)

To determine

The final pressure of mixture.

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Chapter 11.9, Problem 103P

Chapter 11.9, Problem 105P

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