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Air Standard Carnot Cycle

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Air standard Brayton cycle

1. A gas turbine power plant operating on an ideal Brayton cycle has a pressure
ratio of 8. The gas temperature is 300 K at the compressor inlet and 1300 K at
the turbine inlet. Utilizing the air standard assumptions, determine (a) the gas
temperature at the exit of the compressor and turbine, (b) the work ratio and
(c) the thermal efficiency.
2. Air enters the compressor of an ideal air-standard Brayton cycle at 1 bar, 30 oC,
with a volumetric flow rate of 5 m3/s. The turbine inlet temperature is 1000 oC.
For compressor pressure ratio of 6, determine:
a. Thermal efficiency.
b. The work ratio and
c. The net power developed in kW
3. In a Brayton cycle, the air enters the compressor at 1 bar and 25 oC. the pressure
of air leaving the compressor is 3 bar and temperature at turbine inlet is 650 oC.
determine per kg of air, i) cycle efficiency ii) heat supplied to air iii) work input
iv) heat rejected in the cooler and v) temperature of air leaving the turbine.
4. In an air standard Brayton cycle, the air enters the compressor at 1 bar and 25
o
C. The pressure leaving the compressor is 6 bar the maximum temperature in
the cycle 900 oC. Find the following; a) Compressor and expander work per kg
of air. b) the cycle efficiency.
5. A closed cycle ideal gas plant operates temperature limited of 800 ⁰C and 30 ⁰C
and produces a power of 100Kw. A fuel of calorific value 45000KJ/kg is used.
Calculate the mass flow rate of air through the plant and the rate of fuel
combustion.

Air standard Carnot cycle

1. A Carnot engine extracts 642 J of heat from a high-temperature reservoir


during each cycle and rejects 100 J of heat to a low-temperature reservoir
during the same cycle. What is the efficiency of the engine?
2. A Carnot engine working between 400 OC and 40 OC produces 130 kJ of work.
Determine: the thermal efficiency, the heat added, the entropy change during
heat rejection process.
3. A Carnot engine operates between a high-temperature reservoir at 478 K and a
river with water at 286 K. If it absorbs 3800 J of heat each cycle, how much
work per cycle does it perform?
4. An inventor claims that a new heat cycle will develop o.4 kW for a heat addition
of 32.5 kJ/min. The temperature of heat source is 1990 K and that of sink is
850 K. Is his claim possible?
5. A Carnot engine has an efficiency of 0.60 and the temperature of its cold
reservoir is 300 K. (a) What is the temperature of the hot reservoir? (b) If the
engine does 300 J of work per cycle, how much heat is removed from the high-
temperature reservoir per cycle? (c) How much heat is exhausted to the low-
temperature reservoir per cycle?

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