A nuclear power plant like the one from homework 3 is utilizing a boiling water reactor (BWR) design to generate electricity. A typical design calls for a staged turbine setup, where one turbine is optimized for high pressure and the other for low pressure. The steam generated by the nuclear reaction is feed into the high pressure turbine which lowers the pressure of the steam that is then directly feed into the low pressure turbine. Let's say a BWR plant utilizes a supply of steam flowing at 20e6 lbm/hr through a 5ft diameter pipe at a pressure of 1000 psia and a temperature of 750 °F into the high pressure turbine. The steam expands in the turbine to a saturated vapor at 400 psia. 5 percent of this flow is then piped elsewhere in the planet for some other use, while the remainder of the steam is piped to the low pressure turbine. The average velocity through the pipe connecting the high and low pressure turbine stages was determined to be 255 ft/s. At the exit of the low pressure turbine is a 10 ft diameter pipe where pressure and moisture content measurements results show a pressure of 100 psia and quality of 95%. What is the total change in temperature of the steam flow during this process? Determine the rate of work done by the steam during this process in MW. You have 3 states of gas but pay close attention to your mass flow rates when using the energy equation. Also, assume that the turbine is adiabatic.