Calculate the values of volume and pressure

Question

Solve the following problem:

Take an ideal monatomic gas γ = 5/2

Around the Carnot cycle, where point 1 at the beginning of the adiabatic compression has pressure P₁ = P_o (atmospheric pressure), volume V₁ = 13 liters, and temperature T₁ = 300 K. Point 3 has pressure P₃ = 2P_o and volume V₃ = 26 liters.

The resulting Carnot cycle is shown in Fig. (A). Calculate the values of volume and pressure at all four points, which have the same meaning as those in Fig. (B).

Fig.(A):

←Fig.(B)