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What is the entropy change of a gas in J/K (to 2 decimal points) when one mole of a perfect gas reversibly expands from 0.36 m3 to 2.42 m3?

What is the entropy change of a gas in J/K (to 2 decimal points) when one mole of a perfect gas reversibly expands from 0.36 m3 to 2.42 m3?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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What is the entropy change of a gas in J/K (to 2 decimal points) when one mole of a perfect gas reversibly expands from 0.36 m3 to 2.42 m3?

Expert Solution
Step 1

Given that - 

Number of moles of gas = 1 

Initial volume of gas = 0.36 m3 

Final volume of gas = 2.42 m3 

 

Then, the entropy change can be written as - 

∆S=nRlnV2V1∆S=2.303 n R logV2V1

Where - 

∆S = entropy change for reversible expansion = ? 

n = Number of moles of gas = 1 mole

R = Universal gas constant = 8.314 J/K mol 

V2  = final volume of the gas = 2.42 m3 

V1  = initial volume of the gas = 0.36 m3

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