Steam enters an adiabatic turbine at 10 MPa and 500oC and leaves at 10 kPa with a quality of 50.027 percent. Neglecting the changes in kinetic and potential energies, determine the power output in MW using 3 decimals for mass flow rate of 15.469.

power output = 30730.71 kJ/s

Explanation:

given data

pressure p1 = 10 MPa

temperature = 500° C

pressure p2 = 10 kPa

quality = 50.027 % = 0.50027

mass flow rate m = 15.469

to find out

power output in MW

solution

we know energy balance equation here that is

Energy (in) = Energy (out)

mh1 = P (out) + mh2

P (out) = - m (h2 - h1) ... 1

we know here h1 from steam table that is

h1 = 3375.1 kJ/kg and

hf = 191.81 and hfg = 2392.1 kJ/kg

h2 = hf + quality hfg

h2 = 191.81 + 0.50027 (2392.1) = 1388.50 kJ/kg

so from equation 1 we get power output

P (out) = - m (h2 - h1)

P (out) = - 15.469 (1388.50 - 3375.1)

power output = 30730.71 kJ/s