# Steam at 173.6 degrees celcius and with a specific entropy of 6 kJ/ kg-K undergoes a polytropic process with n= 1.18 until the pressure becomes 2 MPa. What is the final temperature of the steam? and What is the work nonflow and steady flow of the process?

Steam is a superheated vapor that is often used for power generation, heating and industrial processes. Steam at 173.6 degrees celcius and with a specific entropy of 6 kJ/ kg-K undergoes a polytropic process with n=1.18 until the pressure becomes 2 MPa; this means the steam is undergoing an adiabatic process where no heat is added or removed from the system during the expansion or compression.

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.

## Steam at 173.6 degrees celcius and with a specific entropy of 6 kJ/ kg-K undergoes a polytropic process with n= 1.18 until the pressure becomes 2 MPa. What is the final temperature of the steam? and What is the work nonflow and steady flow of the process?

These values indicate that more energy was expended than gained through this particular process due to its adiabatic nature; although no energy was added into it, some thermal energy was converted into kinetic energy as well as dissipated via friction between particles within the steam itself resulting in lower overall efficiency when compared to processes conducted under ideal conditions.

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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