Assertion :In adiabatic expansion, temperature of gas always decreases. Reason: In adiabatic process exchange of heat is zero.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
The equation of state for an adiabatic process is given by:
$T V^{γ - 1} = c o n s t a n t$
i.e. $\frac{T_{2}}{T_{1}} = (\frac{V_{1}}{V_{2}})^{γ - 1}$
If it is expansion,
$V_{2} > V_{1} a n d 0 < (γ - 1) < 1$
Hence, $\frac{T_{2}}{T_{1}} < 1$
Hence temperature is decreasing.

And an adiabatic process is defined by the fact that heat supplied is zero.

Hence, both statements are true but reason is not the correct explanation for the assertion.

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