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JEE MAIN - Physics (2021 - 18th March Evening Shift - No. 16)

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 :
S1 $$-$$ S2
$${{{S_1}} \over {{S_2}}}$$
S1 $$\times$$ S2
S1 + S2

Explanation

JEE Main 2021 (Online) 18th March Evening Shift Physics - Heat and Thermodynamics Question 221 English Explanation

for gas 1, S1 = $${f \over 2}{n_1}R$$

for gas 2, S2 = $${f \over 2}{n_2}R$$

after removal of piston,

S = $${f \over 2}({n_1} + {n_2})R = {S_1} + {S_2}$$

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