Question

In: Physics

A gas expands from point A to B. The expansion consists of two stages. Stage 1)...

A gas expands from point A to B. The expansion consists of two stages.

Stage 1) The gas expands at constant pressure from 15 to 39 litres.

Stage 2) The gas expands from 31 litres to 82 litres with a pressure drop according to the equation; P = 100 - 0.8 V kPa

Calculate the work done on the gas.

Solutions

Expert Solution


Related Solutions

An ideal gas expands isobarically (constant pressure) from point A to point B. The gas is...
An ideal gas expands isobarically (constant pressure) from point A to point B. The gas is compressed isothermally (constant temperature) from point B to C. Finally, the gas goes through an isochoric (constant volume) process until it returns to point A. Given: Volume at point A = Volume at point C = 0.004 m3, Volume at point B = 0.008 m3, Pressure at point A = Pressure at point B = 1,000,000 Pa, Temperature at point A = 600 K....
b) A 15 MW gas turbine plant operates with a two-stage compression and a two-stage expansion....
b) A 15 MW gas turbine plant operates with a two-stage compression and a two-stage expansion. The high-pressure turbine (HPT) drives both low-pressure compressor (LPC) and high-pressure compressor (HPC). A low-pressure turbine (LPT) is connected to a generator for electricity generation The overall pressure ratio is 16/1 and the maximum cycle temperature, which is at the inlet of the HPT, is 900°C. The gases leaving the HPT are reheated to 850°C before entering the LPT. Both compressors have equal pressure...
For an ideal gas-turbine cycle with two stages of compression and two stages of expansion, the...
For an ideal gas-turbine cycle with two stages of compression and two stages of expansion, the pressure ratio across each stage of the compressor and turbine is 3. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200K. Using variable specific heats, determine the back work ratio and the thermal efficiency of the cycle, assuming (a)no regenerator is used, (b)a regenerator with 75% effectiveness is used.
Consider an ideal gas-turbine cycle with two stages of compression and two stages of expansion. The...
Consider an ideal gas-turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each stage of the compressor and turbine is 3. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200 K. Determine the back work ratio and the thermal efficiency of the cycle, assuming (a) the expansion and compression processes to be isentropic and no regenerator is used, (b) the expansion and compression...
Consider an ideal gas turbine cycle with two stages of compression and two stages of expansion.  The...
Consider an ideal gas turbine cycle with two stages of compression and two stages of expansion.  The pressure ratio across each compressor stage and each turbine stage is 5 to 1. The pressure at the entrance to the first compresor is 100 kPa, the temperature entering each compressor is 25°C (298 K), and the temperature entering each turbine is 1100°C (1373 K). An ideal regenerator is also incorporated into the cycle.  For the air involved, it may be assumed that Cp =...
Consider an ideal gas-turbine cycle with two stages of compression and two stages of expansion. The...
Consider an ideal gas-turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each stage of the compressor and turbine is 3. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200 K. Use variable specific heats. Assuming an efficiency of 86 percent for each compressor stage and an efficiency of 90 percent for each turbine stage. (a) no regenerator is used rbw=rbw= % (Round...
A regenerative gas-turbine power plant with two stages of compression and two stages of expansion operates...
A regenerative gas-turbine power plant with two stages of compression and two stages of expansion operates on a Brayton cycle with a pressure ratio across the two-stage compressor of 12. Air enters the first stage of the compressor at 100 kPa and 300 K. At the intercooler exit, the temperature is 300 K. In both turbine stages, air enters at 1400 K. The total heat transfer rate to the air in both combustors is 5,000 kW. The regenerator has an...
In a gas turbine with two-stage compression and expansion, the total pressure ratio is 12. Air...
In a gas turbine with two-stage compression and expansion, the total pressure ratio is 12. Air enters the compressor at a temperature of 320 K and the turbine at a temperature of 1320 K. The isanthropic efficiency of the compressors is 75%, the efficiency of the turbines is 87% and the regenerator is 78%. Considering the change of specific temperatures with temperature; a) back work rate, b) calculate the thermal efficiency of the cycle.
A diatomic gas containing 1.5 moles expands in an isothermal process from b to c. From...
A diatomic gas containing 1.5 moles expands in an isothermal process from b to c. From c to a the gas is compressed from a volume of 0.1m3 to 0.04m3 at a constant pressure of 100kPa and from a to b the gas goes through an isochoric process. Determine: (3 pts) Determine highest temperature and the lowest temperature reached by the gas. High Low (6 pts) Determine how much heat is added to the gas in each cycle and how...
A multi-stage gas turbine is to be designed with impulse stages, and is to operate with...
A multi-stage gas turbine is to be designed with impulse stages, and is to operate with an inlet pressure and temperature of 6 bar and 900 K, and an outlet pressure of 1 bar. The isentropic efficiency of the turbine is likely to be 85 per cent. All the stages are to have a nozzle outlet angle of 15 degrees, equal inlet and outlet blade angles, a mean blade speed of 250 m/s and equal 5 kJ/kg K o inlet...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT