Question 187 of 190

An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is ${S}_{1}$ and that of the other part is ${S}_{2}$. Given that ${S}_{1}\gt {S}_{2}$. If the piston is removed then the total entropy of the system will be:

A${S}_{1}\times {S}_{2}$B${S}_{1}-{S}_{2}$C$\dfrac{{S}_{1}}{{S}_{2}}$D${S}_{1}+{S}_{2}$

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Answer: (D) ${S}_{1}+{S}_{2}$

$;{S}_{1}\gt {S}_{2}$
After piston is removed
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$;{S}_{total}={S}_{1}\gt {S}_{2}$