The pressure p , volume V and temperature T for a certain gas are related by p= A T-B T² V where A and B are constants. The work done by the gas when the temperature changes from T₁ to T₂ while the pressure remains constant, is given by

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Correct answer: C. A ( ₂-T₁ )- B 2 (T₂²-T₁² )

Given P= A T-B T² V array lc & P V=A T-B T² & P V=A T-B T T array On integrating, we get Work = P d V=A _ T₁ ^ T₂ d T-B _ T₁ ^ T₂ T d T=A (T₂-T₁ )- B 2 [ (T₂ )²- (T₁ )² ]

The pressure p , volume V and temperature T for a certain gas are related by p= A T-B T² V where A and B are constants. The work done by the gas when the temperature changes from T₁ to T₂ while the pressure remains constant, is given by

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