10 moles of an ideal gas compressed from 100 L to 10 L reversibly at constant temperature of 27°C. The entropy change during the process is (R = Universal gas constant)
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Given,
A mole of an ideal gas =10mol
Initial volume (V 1 )=100 dm 3
Final volume (V 2 )=10dm 3
Temperature =27c
Solution :
To find entropy change in the isothermal process.
ΔS=nRln( V2/V1 )
or
ΔS=nRln( P1/P2 )
ΔS=10×8.314×ln(10/100)
=191.43 J/molK
So the entropy change during the process is 191.43J/molk
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