In a certain thermodynamic process the pressure of a gas depends on its volume as kV³. The work done when the temperature changes from 100°C to 300°C will be nR, where n denotes the number of moles of the gas.

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50. P=kV³, so W=∫_V₁^V₂kV³dV=k/4(V₂⁴-V₁⁴)=(P₂V₂-P₁V₁)/4. For an ideal gas PV=nRT, so W=(nR(T₂-T₁))/4. T₂-T₁=200 K, so W=(200nR)/4=50 nR.

In a certain thermodynamic process the pressure of a gas depends on its volume as kV³. The work done when the temperature changes from 100°C to 300°C will be ______ nR, where n denotes the number of moles of the gas.

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