Question

A mole of ideal monatomic gas travels irreversibly through the cycle described by the following steps:
1 → 2; (V1 = 24.4 dm³, T1 = 298 K) → (V2 = 24.4 dm³, T2 = 596 K)
2 → 3; (V2 = 24.4 dm³, T2 = 596 K) → (V3 = 12.2 dm³, T3 = 298 K)
3 → 1; (V3 = 12.2 dm³, T3 = 298 K) → (V1 = 24.4 dm³, T1 = 298 K)
Determine the values of Q, W, ΔU and ΔH for the three steps of the cycle as well as for the overall process. Comment the results obtained (check the state functions)
DATA: CV = 3 / 2R; Cp = 5 / 2R.

The answer to this question is the following (but I need help to get there with proper calculations and arguments):

1 → 2 isocoric: W = 0, ΔU = Qv = 3.71kJ, ΔH = 6.19kJ;
2 → 3 isobaric, p2 = p3: W = 2.48 kJ, ΔH = Qp = -6.19 kJ, ΔU = -3.71 kJ;
3 → 1 isothermal: ΔU = ΔH = 0, Q = -W = 1.72 kJ
In the cycle: ΔU = ΔH = 0, Q = -W = - 1.24 kJ