One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is P₀ . Choose the correct option from the following.

Step-by-step solution

From the given V-T graph, the parameters for states A and B are: State A: T_A = T₀ , V_A = V₀ , P_A = P₀ State B: T_B = T₀ , V_B = 4V₀ Since T_A = T_B = T₀ , the process AB is isothermal. For an ideal gas, internal energy depends only on temperature, which means U_A = U_B . The work done by the gas in the isothermal process AB is: W_ AB = nRT₀ ( V_B V_A ) Given n = 1 mole, and using the ideal gas equation at state A ( P₀ V₀ = RT₀ ), we get: W_ AB = P₀ V₀ ( 4V₀ V₀ ) = P₀ V₀ (4) The line BC is straight but not specif