a. Derive Eq. 7.4-8. b. Derive Eq. 7.4-12. c. Obtain an expression for the fugacity of a

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a. Derive Eq. 7.4-8.

In fv (T, P) P V=ZV RT/P (RT - - AT SK (HT-P) - PdV-In ZV + (ZV - 1) (7.4-8)

b. Derive Eq. 7.4-12.

In fv (T, P) P Z=1+ = 2B(T) V B(T) V = 1|2 - In Z = + 2PB(T) ZRT 1+ 4B(T)P RT In Z (7.4-12)

c. Obtain an expression for the fugacity of a pure species that obeys the van der Waals equation of state in terms of Z, B = P b/RT, and A = aP/(RT)² (i.e., derive Eq. 7.4-13).

Waals equation.

[P+ 2] . an V CO a = 3.640 L atm / mol V-nb = nRT

In f P my V V b - a RTV PV + (P-1)-In (PV) ( RT RT A = (Z - 1) - In(ZV - B) -- ZV (7.4-13)

d. Repeat the derivation with the Peng-Robinson equation of state (i.e., derive Eq. 7.4-14a).

Redlich-Kwong P=RT a' V-b' TV/V+b). V=? Pt. 2

In fv P = (ZV-1)-In (Zv ( bP RT = (ZV - 1) - In(ZV B) a 226RT In [ZV+(1+2)bP/RT ZV+ (1-2)bP/RT A ZV+ (1+2)B

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Chemical Biochemical And Engineering Thermodynamics

ISBN: 9780470504796

5th Edition

Authors: Stanley I. Sandler

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Question Posted: Nov 17, 2023 07:50 AM

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a. Derive Eq. 7.4-8. b. Derive Eq. 7.4-12. c. Obtain an expression for the fugacity of a

Question:

In fv (T, P) P V=ZV RT/P (RT AT SK (HT - P) - PdV-In ZV + (ZV - 1) (7.4-8)

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Chemical Biochemical And Engineering Thermodynamics

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