Initial pressure, P1 = 20 bar

Here's the solution for the thermodynamics problems.

a)
Given:
Initial pressure, $P_1 = 20 \text{ bar}$
Initial temperature, $T_1 = 250^\circ\text{C}$
Final pressure, $P_2 = 3.2 \text{ bar}$
Polytropic index, $n = 1.15$ (from $PV^{1.15} = \text{constant}$)

Step 1: Determine initial conditions of the steam.
From superheated steam tables at $P_1 = 20 \text{ bar}$ and $T_1 = 250^\circ\text{C}$:
Specific volume, $v_1 =