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AIIMS2018Chemistry-Thermodynamics

AIIMS 2018 Chemistry Work Done by Gases Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 11

Assertion : When ideal gas expand from P1,V1,T1P_1, V_1, T_1 to P2,V2,T2P_2, V_2, T_2 in two steps, and work done is high in which number of steps are high

Reason : Work is path function

A

Assertion is true, reason is true; reason is a correct explanation for assertion.

B

Assertion is true, reason is true; reason is not a correct explanation for assertion.

C

Assertion is true, reason is false.

D

Assertion is false, reason is true.

Correct Answer

Option A

Detailed Explanation

In an ideal gas expansion, the work done (W) is determined by the path taken in the pressure-volume (P-V) diagram; more steps in the expansion process allow the gas to perform work more efficiently, as it can utilize smaller pressure differences over a larger volume change. Thus, both the assertion that work done is higher with more steps and the reason that this is due to the nature of the expansion process are true and directly related.

Option B is incorrect because while both statements are true, the reason does explain the assertion. Options C and D are incorrect as they misrepresent the truth of the assertion and reason, which are both valid in this context.

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