A steam turbine at steady state is operated at part load by throttling the steam to a lower pressure before it enters the turbine. Before throttling, the pressure and temperature are, respectively, 2 MPa and 300°C. After throttling, the pressure is 1 MPa. At the turbine exit, the steam is at 8 KPa and a quality of 85%. Heat transfer with the surroundings and all kinetic and potential energy effects can be ignored. Determine (a) the temperature at the turbine inlet, in °C, and (b) the power developed by the turbine, in kJ/kg of steam flowing.

Respuesta :

Answer:

a) 440° C

b) 808.354 kJ/kg

Explanation:

Properties of 2.0 MPa and 300° C

[tex]h_1[/tex] = 3024.2 kJ/kg

[tex]s_1[/tex] = 6.7684 kJ/kg.K

Properties at 1 MPa and [tex]h_1 = h_2[/tex] = 3024.2 kJ/kg

Using properties at 1MPa and [tex]h_2[/tex] from steam Table

[tex]T_2[/tex] = 440° C

At the turbine exit

the steam is at 8 KPa which is equivalent ⇒ 0.08 bar

Properties at 0.08 bar

[tex]h_{fg}[/tex] = 173.84 kJ/kg

[tex]h_{fg3}[/tex] = 2402.36 kJ/kg

[tex]x_3=[/tex] 85% = 0.85

[tex]h_3}= h_{f_3}} + x * h_{fg_3}[/tex]

= (173.84+(0.85*2402.36)

= 2215.846  kJ/kg

P = (3024.2 - 2215.846) kJ/kg

P = 808.354 kJ/kg