'n' moles of an ideal gas undergoes a process A → B as shown in the figure. The maximum temperature of the gas during the process will be :

Question

G1 Physics · Accepted Answer

Along the straight line joining A(V₀,2P₀) and B(2V₀,P₀), pressure varies linearly with volume. Using PV=nRT, T(V)=PV/(nR) is a quadratic function of V. Its maximum occurs at the vertex, which gives Tₘₐₓ=9P₀V₀/(4nR). Option B.