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In a process plant, a large amount of saturated steam is available at a pressure of 2 MPa. Connected to the saturated steam system through a valve is a turbine followed by a well insulated tank which is initially evacuated (P=0). The volume of the tank is 2000 L. When emergency power is needed, the valve is opened and steam flows through the turbine, generating power and the tank fills until its pressure is 2 MPa.
At the end of this process the temperature of steam in the tank is 250 °C.
a) Draw a diagram of the system showing all mass and energy flows
b) Making (and listing & justifying) suitable assumptions, determine the amount of work generated by the turbine.
c) Determine the entropy generated by this process.
d) If there was no pressure drop across the valve when it is fully opened, and the turbine is adiabatic and isentropic, what would be the final temperature in the tank?