A power plant uses water and steam as its working fluid and is based on the Rankine cycle and employs only one turbine. The pressure and temperature of the fluid at the turbine inlet are 50 bar and 560°C, respectively, and the condenser pressure is 0.038 bar. The working fluid has a mass flow rate of 5kg/s. Sketch the power cycle on a T-s diagram. (a) the cycle thermal efficiency of the power plant and the work ratio. (b) the net power output, in MW. (c) If the expansion within the turbine has an isentropic efficiency of 88 %, calculate the new cycle efficiency and work ratio.

Here's the solution for the Rankine cycle problem. First, let's sketch the power cycle on a T-s diagram. [scale=1.2] [->] (0,0) -- (6,0) node[below] s; [->] (0,0) -- (0,5) node[left] T; % Saturation dome [thick, blue, domain=0.5:5.5] plot (, 4 - 0.5*(-3)^2); % Approximated dome shape [thick, blue] (0.5, 4-0.5*(0.5-