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Engineering and Tech / Fundamentals of Thermodynamcs 8 / Chapter 2 / Problem 164EUP

Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

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Chapter 2, Problem 164EUP

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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.

Questions & Answers

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.

ANSWER:

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,

$R=$ gas constant of ammonia

= 90.72 ft-lbf/lbm $\cdot{}$ R

$T=100$ F = 559.67 R

$P=$ 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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