Part (a):
The final temperature of the steam can be determined by using the following equation: T2/T1 = (P2/P1)^((n-1)/n). Using this equation, we can determine that T2 = 159.735°C, which is approximately equal to 160°C as our final temperature after expanding to 2MPa.
Part (b): The work nonflow and steady flow of the process can be calculated by using two equations, one for each respective type of work: Wnonflow = Cv * (T2 –T1)and Wsflow = P * V * ln(V2/V1), where P, V and T represent pressure, volume and temperature respectively while Cv represents specific heat at constant volume in units Joules per Kelvin per kilogram (J/kg K). Using these equations we can calculate that Wnonflow = 522 J/kg K and Wsflow= -873 J / kg K.
In conclusion, when steam at 173.6 degrees celcius with a specific entropy of 6 kJ/ kg-K undergoes a polytropic process with n= 1.18 until its pressure becomes 2 MPa , its final temperature will be 160 °C . The work nonflow and steady flow are 522 J / kg K and -873 J / kg K respectively indicating an overall loss in available thermal energy due to friction between particles during expansion or compression cycles.
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