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Q.

An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the other part is S2. Given that S1>S2. If the piston is removed then the total entropy of the system will be:

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a

S1S2

b

S1+S2

c

S1×S2

d

S1−S2

answer is B.

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Detailed Solution

Before,S1=n1fR2 and S2=n2fR2Gas in both parts is same. So, f is also same.After,Ssys =n1+n2fR2⇒Ssys =n1fR2+n2fR2⇒Ssys =S1+S2

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An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the other part is S2. Given that S1>S2. If the piston is removed then the total entropy of the system will be: