An ideal gas in a cylinder is separated by a piston in such a way...

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} > {S}_{2}

. If the piston is removed then the total entropy of the system will be: 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

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

Options

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

Correct answer

D. ${S}_{1} + {S}_{2}$

Step-by-step solution

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
$; {S}_{1} > {S}_{2}$

After piston is removed

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 |
$; {S}_{total} = {S}_{1} > {S}_{2}$

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