The pressure P , volume V and temperature T of a certain material are related by the equation P = α T 2 / V . The work done by the material at constant pressure, when the temperature changes from T 0 to 2 T 0 , is

Question

The pressure P , volume V and temperature T of a certain material are related by the equation P = α T 2 / V . The work done by the material at constant pressure, when the temperature changes from T 0 to 2 T 0 , is, 3 α T 0 2, 5 α T 0 2, 2 3 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 2T 0 P 2 α T P d T = 2 α T 2 2 T 0 2T 0 = 3 α T 0 2

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