One mole of an ideal gas at temperature T 1 expands according to the law ( P V ) = constant. Find the work done when the final temperature becomes T 2 .

Question

One mole of an ideal gas at temperature T 1 expands according to the law ( P V ) = constant. Find the work done when the final temperature becomes T 2 ., R ( T 2 - T 1 ), R 2 ( T 2 - T 1 ), R 4 ( T 2 - T 1 ), P V ( T 2 - T 1 )

MARKS App · Accepted Answer

W = ∫ V 1 V 2 P d V = ∫ V 1 V 2 K V d V ∵ p V = K = constant ∴ W = 1 2 k V 2 2 - V 1 2 P V = R T But P = R T ∴ KV 2 = RT or K V 2 2 - V 1 2 = R T 2 - T 1 ∴ W = R 2 T 2 - T 1

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