Answer to Question #309450 in Mechanical Engineering for Jhonny

Question #309450

10. A supercritical power generates steam at 25 Mpa and 560℃. The condenser pressure is 7 kpa. Determine

the exit quality of steam if it expands through a turbine in this power plant.


1
Expert's answer
2022-03-17T02:11:03-0400

Solution;

From the steam table;

At 25MPa,560°C;

s1=7.4168kJ/kgKs_1=7.4168kJ/kgK

At 70kPa;

sf=1.192kJ/kgKs_f=1.192kJ/kgK

sfg=6.286kJ/kgKs_{fg}=6.286kJ/kgK

Assuming isentropic expansion;

s1=s2=sf+xsfgs_1=s_2=s_f+xs_{fg}

7.4168=1.192+x(6.286)7.4168=1.192+x(6.286)

x=7.41681.1926.286=0.9903x=\frac{7.4168-1.192}{6.286}=0.9903


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