
Q. 106
A steam power plant operates on a simple ideal Rankine cycle. The condenser pressure is $10 \mathrm{kPa}$ and the boiler pressure is $5 \mathrm{MPa}$. The steam enters the turbine at $600^{\circ} \mathrm{C}$. Mass flow rate of the steam is $50 \mathrm{~kg} / \mathrm{s}$. Neglecting the pump work, the net power output of the plant is MW (rounded off to one decimal place).
Use the following property data for water:
At $10 \mathrm{kPa}$ :
\[
\begin{array}{l}
h_{f}=191.81 \mathrm{~kJ} / \mathrm{kg}, \quad h_{f g}=2392.82 \mathrm{~kJ} / \mathrm{kg}, \quad h_{g}=2584.63 \mathrm{~kJ} / \mathrm{kg} \\
s_{f}=0.6492 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \quad s_{f g}=7.5010 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \quad s_{g}=8.1502 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}
\end{array}
\]
At $5 \mathrm{MPa}$ and $600{ }^{\circ} \mathrm{C}$ :
\[
h=3666.47 \mathrm{~kJ} / \mathrm{kg}, \quad s=7.2588 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}
\]