Explanation Write the expression for the volume of the saturated liquid. R T ( ∂ ln f ∂ p ) T = v v R T = ( ∂ ln f ∂ p ) T (I) Here, the gas constant is R , the temperature of the liquid is T . The state is a saturated liquid state hence v = v f . Substitute v f for v in Equation (I). R T ( ∂ ln f ∂ p ) T ≈ v f R T (II) Integrate the Equation (II). ∫ f f s a t L ∂ ln f = v f ( T ) R T ∫ p p s a t ∂ p [ ln f − ln f s a t L ] = v f ( T ) R T [ p s a t − p ] ln f f s a t L = v f ( T ) R T [ p s a t − p ] f ( T , p ) ≈ f s a t L ( T ) exp { v f ( T ) R T [ p − p s a t ] } (III) Here, the fugacity at saturated liquid is f s a t L . Substitute v f ( T ) R T [ p − p s a t ] for x in Equation (III). f ( T , p ) ≈ f s a t L ( T ) exp { x } (IV) Write the expression for expansion of equation (IV). f ( T , p ) f s a t L ( T ) ≈ 1 + x + x 2 2 + x 3 3 + ..... Substitute x for ln f f s a t in Equation (III). x = v f ( T ) R T [ p − p s a t ] (V) Conclusion: Substitute f s a t L ( T ) for f ( T , p ) when the terms in power k are small enough to ignore the higher order in Equation (III). Refer to the Table A-2, “Properties of saturated water (Liquid-Vapor):Temperature Table”, to obtain the saturated pressure as 0.03567 bar and the specific volume at saturated liquid is 1.0035 × 10 − 3 m 3 / kg at a temperature of 300.15 K . Substitute 1.0035 × 10 − 3 m 3 / kg for v f , 0

Appendices to accompany Fundamentals of Engineering Thermodynamics, 8e

8th Edition

ISBN: 9781118957219

Author: Michael J. Moran, Howard N. Shapiro

Publisher: WILEY

See similar textbooks

Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substan…

Videos

Question

Chapter 11.9, Problem 113P

To determine

The expression for the fugacity of a liquid.

The range of pressure for the expression.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.9, Problem 111P

Chapter 11.9, Problem 114P

Students have asked these similar questions

4- In the system shown in the figure, the water velocity in the 12 in. diameter pipe is 8 ft/s. Determine the gage reading at position 1. Elevation 170 ft 1 Elevation 200 ft | 8 ft, 6-in.-diameter, 150 ft, 12-in.-diameter, f = 0.020 f = 0.020 A B Hints: the minor losses should consider the contraction loss at A and the expansion loss at B.

What is the moment of Inertia of this body? What is Ixx, Iyy, and Izz

Consider a glass window (Hight = 1.2 m, Width = 2 m). The room thatfaces the window are maintained at 25 o C. The average temperature ofthe inner surface of the window is 5 o C. Calculate the total heat transferrate from through the window a) IdenCfy what type(s) of convecCon is important (circle one). • external forced (Chapter 7)• internal forced (Chapter 8)• natural convecCon (Chapter 9)• boiling and condensaCon (Chapter 10)b) IdenCfy the necessary equaCon(s) needed to solve the problem. c) IdenCfy important fluid properCes you need to solve the problem. d) Calculate the total heat transferred.

Chapter 11 Solutions

Appendices to accompany Fundamentals of Engineering Thermodynamics, 8e

Ch. 11.9 - Prob. 1E Ch. 11.9 - Prob. 2E Ch. 11.9 - 3. What is an advantage of using the Redlich–Kwong...Ch. 11.9 - To determine the specific volume of superheated...Ch. 11.9 - Prob. 5E Ch. 11.9 - Prob. 6E Ch. 11.9 - Prob. 7E Ch. 11.9 - Prob. 8E Ch. 11.9 - Prob. 9E Ch. 11.9 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The expression for the fugacity of a liquid. The range of pressure for the expression.