Chapter 13 Gas Turbine Power Plants

Problems
13.1 Write the expression for the net work of the ideal Brayton
cycle. Show by differentiation that the W net is maximum when
-*02 = "V 01 03
13.2 Use the optimum temperature T 02 found in Problem 13.1 to
determine the corresponding optimum cycle pressure ratio for the
ideal Brayton cycle.
13.3 Write the expression for the turbine work of the ideal Brayton
cycle in terms of T 03 and r p . Use the result to conclude how
the turbine work can be increased by changing these quantities.
13.4 Write the expression for the compressor work of the ideal
Brayton cycle in terms of T ol and r p . Use the result to conclude
how the compressor work can be decreased by changing these
quantities.
13.5 An ideal Brayton cycle uses air as the working substance.
At the compressor inlet p 01 = 1 atm and T 0! = 294°K,, and at the
turbine inlet p 03 =12 atm and T 03 = 1222°K. The mass flow rate
of air is 11.33 kg/s. Assuming that y has a constant value of 1.4,
determine the cycle efficiency and the net power developed.
13.6 An ideal Brayton cycle uses air as the working substance.
At the compressor inlet p 01 = 1 atm and T 01 = 294°K, and at the
turbine inlet p 03 =12 atm and T 03 = 1222°K. The mass flow rate
of air is 11.33 kg/s. Assuming that y varies with average temperature
in each process and using (11.5), determine the cycle efficiency
and the net power developed
13.7 A Brayton cycle uses air as the working substance. At the
compressor inlet p 0 i = 1 atm and T 01 = 300°K, and at the turbine