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Engineering and Tech / Fundamentals of Thermodynamcs 8 / Chapter 2 / Problem 105HP

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

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For these problems see Appendix D for the

Chapter 2, Problem 105HP

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QUESTION:

Problem 105HP

For these problems see Appendix D for the equation of state (EOS) and Chapter 12.

Do the previous problem using the Redlich-Kwong EOS.

REFERENCE PROBLEM: A tank contains 8.35 kg of methane in 0.1 m3 at 250 K. Find the pressure using ideal gas, the van der Waals EOS, and the methane table.

Appendix D

Questions & Answers

QUESTION:

Problem 105HP

For these problems see Appendix D for the equation of state (EOS) and Chapter 12.

Do the previous problem using the Redlich-Kwong EOS.

REFERENCE PROBLEM: A tank contains 8.35 kg of methane in 0.1 m3 at 250 K. Find the pressure using ideal gas, the van der Waals EOS, and the methane table.

Appendix D

ANSWER:

Solution 105 HP

Step 1 of 5

We have to find the pressure of the methane gas of mass 8.35 kg in a tank of volume 0.1 m3 at 250 K using ideal gas equation, Redlich-Kwong EOS, and the methane table.

The pressure of the methane gas from ideal gas equation is given by

where,

$R=$ gas constant

$T=250$ K

$V=0.1$ m3
$m=8.35$ kg

The gas constant $R$ for methane from the Table A-5 in the book is

$R=0.5183$ kJ/kg $\cdot{}$ K

Thus,

Therefore, the pressure of the methane gas using ideal gas equation is 10820 kPa.

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