A gas-turbine power plant operates on a simple Brayton cycle with air as the working fluid. The air enters the turbine at 120 psia and 2000 R and leaves at 15 psia and 1200 R. Heat is rejected to the surroundings at a rate of 6400 Btu/s, and air flows through the cycle at a rate of 40 lbm/s. Assuming the turbine to be isentropic and the compresssor to have an isentropic efficiency of 80 percent, determine the net power output of the plant. Account for the variation of specific heats with temperature.

A stationary gas-turbine power plant operates on a simple ideal Brayton cycle with air as the working fluid. The air enters the compressor at 95 kPa and 290 K and the turbine at 760 kPa and 1100 K. Heat is transferred to air at a rate of 35,000 kJ/s. Determine the power delivered by this plant (a) assuming constant specific heats at room temperature and (b) accounting for the variation of specific heats with temperature.

A gas-turbine power plant operates on a simple Brayton cycle with air as the working fluid. The air enters the turbine at $800 \mathrm{~kPa}$ and $1100 \mathrm{~K}$ and leaves at $100 \mathrm{~kPa}$ and $670 \mathrm{~K}$. Heat is rejected to the surroundings at a rate of $6700 \mathrm{~kW}$, and air flows through the cycle at a rate of $18 \mathrm{~kg} / \mathrm{s}$. For what compressor efficiency will the gas-turbine power plant produce zero net work?

A stationary gas-turbine power plant operates on a simple ideal Brayton cycle with air as the working fluid. The air enters the compressor at 95kPa and 290K and the turbine at 760kP and 1100K. Heat is transferred to air at a rate of 35,000kJ/s.

Determine the power delivered by this plant

(a) assuming constant specific heats at room temperature and

(b) accounting for the variation of specific heats with temperature.

A gas-turbine power plant operates on a simple Brayton cycle with air as the working fluid. The air enters the turbine at 120 psia and 2000 R and leaves at 15 psia and 1200 R. Heat is rejected to the surroundings at a rate of 6400 Btu/s, and air flows through the cycle at a rate of 40 lbm/s. Assuming the turbine to be isentropic and the compressor to have an isentropic efficiency of 80 percent, determine the net power output of the plant. Account for the variation of specific heats with temperature.

A gas-turbine power plant operates on the simple Brayton cycle with air as the working fluid and delivers 32 MW of power. The minimum and maximum temperatures in the cycle are 310 and 900 K, and the pressure of air at the compressor exit is 8 times the value at the compressor inlet. Assuming an isentropic efficiency of 80 percent for the compressor and 86 percent for the turbine, determine the mass flow rate of air through the cycle. Account for the variation of specific heats with temperature.

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle ( $\epsilon=100$ percent) with air as the working fluid. Air enters the compressor at $95\ \mathrm{kPa}$ and $290 \mathrm{~K}$ and the turbine at $760\ \mathrm{kPa}$ and $1100 \mathrm{~K}$. Heat is transferred to air from an external source at a rate of $75,000 \mathrm{~kJ} / \mathrm{s}$. Calculate the power delivered by this plant $(a)$ assuming constant specific heats for air at room temperature and (b) accounting for the variation of specific heats with temperature.

Air enters the compressor of a regenerative gas-turbine engine at 310 K and 100 kPa, where it is compressed to 900 kPa and 650 K. The regenerator has an effectiveness of 80 percent, and the air enters the turbine at 1400 K. For a turbine efficiency of 90 percent, determine (a) the amount of heat transfer in the regenerator and (b) the thermal efficiency. Assume variable specific heats for air.

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle $(\epsilon=100 \text { percent })$ with air as the working fluid. Air enters the compressor at 95 kPa and 290 K and the turbine at 880 kPa and 1100 K. Heat is transferred to air from an external source at a rate of 30,000 kJ/s. Determine the power delivered by this plant (a ) assuming constant specific heats for air at room temperature and (b ) accounting for the variation of specific heats with temperature.

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle $(\varepsilon=100$ percent) with air as the working fluid. Air enters the compressor at 95 kPa and 290 K and the turbine at 880 kPa and 1100 K. Heat is transferred to air from an external source at a rate of 30,000 kJ/s. Determine the power delivered by this plant (a) assuming constant specific heats for air at room temperature and (b) accounting for the variation of specific heats with temperature.

A combined gas turbine-vapor power plant operates as shown in figure. Pressure and temperature data are given at principal states, and the net power developed by the gas turbine is $147\ \mathrm{MW}$. Using air-standard analysis for the gas turbine, determine (a) the net power, in MW, developed by the power plant. (b) the overall thermal efficiency of the plant. Develop a full accounting of the net rate of exergy increase of the air passing through the gas turbine combustor. Let $T_0=300 \mathrm{~K}, p_0=1\ \text{bar}$.

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle ($\epsilon$=100 percent) with air as the working fluid. Air enters the compressor at 95kPa and 290K and the turbine at 880kPa and 1100K. Heat is transferred to air from an external source at a rate of 30,000kJ/s. Determine the power delivered by this plant

(a) assuming constant specific heats for air at room temperature and

(b) accounting for the variation of specific heats with temperature.

Consider an ideal Ericsson cycle with air as the working fluid executed in a steady-flow system. Air is at $27^{\circ} \mathrm{C}$ and 120 kPa at the beginning of the isothermal compression process, during which 150 kJ/kg of heat is rejected. Heat transfer to air occurs at 1200 K. Determine (a) the maximum pressure in the cycle, (b) the net work output per unit mass of air, and (c) the thermal efficiency of the cycle.

A gas-turbine power plant operates on the regenerative Brayton cycle between the pressure limits of 100 and 700 kPa. Air enters the compressor at $30^{\circ} \mathrm{C}$ at a rate of 12.6 kg/s and leaves at $260^{\circ} \mathrm{C}.$ It is then heated in a regenerator to $400^{\circ} \mathrm{C}$ by the hot combustion gases leaving the turbine. A diesel fuel with a heating value of 42,000 kJ/kg is burned in the combustion chamber with a combustion efficiency of 97 percent. The combustion gases leave the combustion chamber at $871^{\circ} \mathrm{C}$ and enter the turbine, whose isentropic efficiency is 85 percent. Treating combustion gases as air and using constant specific heats at $500^{\circ} \mathrm{C},$ determine (a) the isentropic efficiency of the compressor. (b) the effectiveness of the regenerator, (c) the air-fuel ratio in the combustion chamber, (d) the net power output and the back work ratio, (e) the thermal efficiency, and (f) the second-law efficiency of the plant. Also determine (g) the second-law efficiencies of the compressor, the turbine, and the regenerator, and (h) the rate of the exergy flow with the combustion gases at the regenerator exit.