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  • When one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice its initial temperature, the change in entropy of gas (<img alt="\Delta S" src="http://e

When one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice its initial temperature, the change in entropy of gas (\Delta S) is :

Option: 1

\mathrm{C_{p,m} \ ln 2}


Option: 2

\mathrm{C_{v,m}\ ln 2}


Option: 3

\mathrm{ R \ ln 2}


Option: 4

\mathrm{(C_{v,m} - R ) ln 2}


Answers (1)

best_answer

As we learnt,

Change in entropy for ideal gas in terms of Cv -

\mathrm{\Delta S_{system}= nC_{v}\ln \frac{T_{2}}{T_{1}}+nR\ln \frac{V_{2}}{V_{1}}}  

\mathrm{\Delta S=C_{v,m}\ln 2+R\ln \left [ \frac{1}{2} \right ]=\left ( C_{v,m} -R\right )\ln 2}

Hence, the correct answer is Option (4)

Posted by

HARSH KANKARIA

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