Explanation Write the formula for change in entropy ( s 2 − s 1 ) with the consideration of specific heat at constant volume. s 2 − s 1 = c v ln T 2 T 1 + R ln v 2 v 1 (I) Here, the specific heat at constant volume is c v , initial and final temperatures are T 1 and T 2 respectively, universal gas constant is R and initial and final volumes are v 1 and v 2 respectively. Here, the argon piston-cylinder assembly is designed with ideal gas model of k = 1.67 , where k is the ratio of c p to c v . Write the formula for specific heat at constant volume ( c v ) with factor k . c v = R k − 1 (II) The molecular weight of argon is 39.948 kg/kmol . Conclusion: Substitute 8.314 kJ/kmol ⋅ K for R and 1.67 for k in Equation (II). c v = 8.314 kJ/kmol ⋅ K 1.67 − 1 = ( 8.314 kJ kmol ⋅ K × 1 kmol 39.948 kg ) 0.67 = 0.3106 kJ/kg ⋅ K Substitute − 0.27 kJ/kg ⋅ K for s 2 − s 1 , 0.3106 kJ/kg ⋅ K for c v , 200 K for T 2 , 300 K for T 1 , 8

Fundamentals of Engineering Thermodynamics, Binder Ready Version

8th Edition

ISBN: 9781118820445

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

Publisher: WILEY

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Chapter 6.13, Problem 17P

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Fundamentals of Engineering Thermodynamics, Binder Ready Version

Ch. 6.13 - Prob. 1E Ch. 6.13 - Prob. 2E Ch. 6.13 - Prob. 3E Ch. 6.13 - Prob. 4E Ch. 6.13 - Prob. 5E Ch. 6.13 - 6. Is entropy produced within a system undergoing...Ch. 6.13 - 7. When a mixture of olive oil and vinegar...Ch. 6.13 - Prob. 8E Ch. 6.13 - Prob. 9E Ch. 6.13 - 10. Is Eq. 6.51a restricted to adiabatic processes...

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