Answer:
the net power delivered to the generator by the turbine. is 26486Kw
Explanation:
Hello!
To solve this problem we must use the following steps,
1)First we apply the first law of thermodynamics in the turbine that states that the energy must always be conserved, then we find in the energy balance that the power generated by the turbine must be equal to the power consumed by the compressor and the power consumed by the generator
Wt=Wc+Wg
Wg=Wt-Wc
where
Wt= turbine power
Wc=compresor power
Wg=generator power
2)
we find the power generated by the turbine, for this we apply the first law of thermodynamics and find the enthalpies in the two states using the thermodynamic tables.
Through laboratory tests, thermodynamic tables were developed, these allow to know all the thermodynamic properties of a substance (entropy, enthalpy, pressure, specific volume, internal energy etc ..)
through prior knowledge of two other properties
h1= enthalpy at the entrance at 12.5Mpa and 500C
h1=3342KJ/kg
h2=enthalpy at the exit at 10kpa and quality=0.92
h2=2151KJ/kg
Wt=m(h1-h2)
Wt=25(3342-2151)=29775Kw
2)
Now we do the same as we did in step two for the compressor remembering that to calculate the power the following equation is used considering that it operates with air
Wc=m Cp (T2-T1)
Where
m=mass flow=10kg/S
Cp=specific heat for air=1.012KJ/Kg
T2= oulet temperature=620K
T1=inlet temperature=295K
solving
Wc=10(1.012)(620-295)=3289Kw
finally we apply the equation found in step 1 to find the power in the generator
Wg=Wt-Wc =29775Kw-3289Kw=26486Kw
the net power delivered to the generator by the turbine. is 26486Kw
