Assertion :Statement-I : Entropy change in reversible adiabatic expansion of an ideal gas is zero.
Because Reason: Statement-II : The increase in entropy due to volume increase just compensate the decrease in entropy
due to fall in temperature.

Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

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Statement-I is true, Statement-II is true ; Statement-II is not a correct explanation for Statement-I.

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Statement-I is true, Statement-II is false.

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Statement-I is false, Statement-II is true.

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Solution

The correct option is A Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.
For reversible processes, the entropy change in a system is the negative of the entropy change produced in the surroundings. The total entropy, therefore, is zero. For irreversible processes the total entropy, system plus surroundings, increases. The mathematical statement of this relationship is
$\sum Δ S_{ω t} = 0$ reversible process.
$\sum Δ S_{ω t} > 0$ irreversible process

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