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Textbook Solutions for Fundamentals of Thermodynamcs

Chapter 2 Problem 164EUP

Question

Problem 164EUP

What is the percent error in specific volume if the ideal gas model is used to represent the behavior of superheated ammonia at 100 F, 80 lbf/in.2? What if the generalized compressibility chart, Fig. D.1, is used instead?

FIGURE D.1 Lee–Kesler simple fluid compressibility factor.

Solution

Solution 164 EUP

Step 1 of 4

We have to find the percent error in calculating the specific volume of superheated ammonia, if the ideal gas model is used to represent the behavior and also using the generalized compressibility chart.

The specific volume of superheated ammonia  at 100 F, 80 lbf/in2 can be found from the Table F.8.2 in the book.

The specific volume of superheated ammonia using ideal gas equation is given by

where,

gas constant of ammonia

       = 90.72 ft-lbf/lbm R

F = 559.67 R

80 lbf/in2

Thus,

   

   

     

Thus, the percent error in calculating specific volume using ideal gas equation is

 

                             

.Therefore, the percent error in calculating specific volume using ideal gas equation is 5.3%

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full solution

Title Fundamentals of Thermodynamcs  8 
Author Claus Borgnakke, Richard E. Sonntag
ISBN 9781118131992

Solved: What is the percent error in specific volume if

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