16.050 Thermal Energy
Problem Set #3 – Fall 2002
Time spent on problems:
Problem 1:
Problem 2:
Problem 3:
Problem 4:
Problem 5:
Problem 6:
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16.050 Thermal Energy
Problem Set #3 – Fall 2002
Do all problems. Please use a separate sheet of paper for each problem.
1.
A Brayton cycle operates in air with a pressure ratio of 10.
All components are ideal.
The temperature at the inlet to the compressor is 400 K and the temperature at the
inlet to the turbine is 2000 K.
The kinetic energy at the inlet and exit of all
components can be neglected.
Assume that the working fluid has a constant c
p
=1000
J/kgK.
a)
What is the compression work per unit mass?
b)
What is the turbine work per unit mass?
c)
What is the net work of the cycle per unit mass?
d)
What is the heat input per unit mass?
e)
What is the heat rejected per unit mass?
f)
Express the overall cycle efficiency as the ratio of two of the above (a
e).
2.
An ideal gasturbine unit (Brayton cycle) operating on a closed cycle is to deliver
6000 kW and receive heat from a nuclear reactor.
Different gases are to be studied.
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 Fall '02
 ZoltanSpakovszky
 Thermodynamics, Energy, Brayton cycle, unit mass

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