Pressure P , volume V and temperature T of a certain material are related by P = α T 2 V , where α is constant. Work done by the material when temperature changes from T 0 to 2 T 0 and pressure remains constant is

Question

Pressure P , volume V and temperature T of a certain material are related by P = α T 2 V , where α is constant. Work done by the material when temperature changes from T 0 to 2 T 0 and pressure remains constant is, 3 α T 0 2, 5 α T 0 2, 3 2 α T 0 2, 7 α T 0 2

MARKS App · Accepted Answer

The given relation is p = α T 2 V ∴ V = α T 2 P As pressure is kept constant, d V = 2 α T P d T W = ∫ p d V = ∫ T 0 2 T 0 p 2 α T p d T = 2 α T 2 2 T 0 2 T 0 = 3 α T 0 2

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