Using Entropy Data and ConceptsArgon in a piston-cylinder

Chapter 6, Problem 16P

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QUESTION:

Argon in a piston–cylinder assembly is compressed from state 1, where \(T_{1}=300 \mathrm{\ K}, \ V_{1}=1 \mathrm{\ m}^{3}\), to state 2, where \(T_{2}=200 \mathrm{\ K}\). If the change in specific entropy is \(s_{2}-s_{1}=-0.27 \mathrm{\ kJ} / \mathrm{kg} \cdot \mathrm{K}\), determine the final volume, in \(\mathrm{m}^{3}\). Assume the ideal gas model with k = 1.67.

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QUESTION:

Argon in a piston–cylinder assembly is compressed from state 1, where \(T_{1}=300 \mathrm{\ K}, \ V_{1}=1 \mathrm{\ m}^{3}\), to state 2, where \(T_{2}=200 \mathrm{\ K}\). If the change in specific entropy is \(s_{2}-s_{1}=-0.27 \mathrm{\ kJ} / \mathrm{kg} \cdot \mathrm{K}\), determine the final volume, in \(\mathrm{m}^{3}\). Assume the ideal gas model with k = 1.67.

ANSWER:

Solution

Step 1 of 3

In this problem, we have to find the final volume the ideal gas model is . Where the given data are as follows.

 

  and where

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