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 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.

Calculate the efficiency for an air-standard gas-turbine cycle (the Brayton cycle) operating with a pressure ratio of 3. Repeat for pressure ratios of 5, 7, and 9. Take $\gamma=1.35.$

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 900K, and the pressure of air at the compressor exit is 8 times the value at the compressor inlet. Assuming an isentropic efficiency of 0 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 gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of $100$ and $1600 \mathrm{~kPa}$. The working fluid is air, which enters the compressor at $40^{\circ} \mathrm{C}$ at a rate of $850 \mathrm{~m}^3 / \mathrm{min}$ and leaves the turbine at $650^{\circ} \mathrm{C}.$ Assuming a compressor isentropic efficiency of $85$ percent and a turbine isentropic efficiency of $88$ percent, determine (a) the net power output, (b) the back work ratio, and (c) the thermal efficiency.

Use constant specific heats with $c_{v}=0.821 \mathrm{~kJ/k g \cdot K}$, $c_{p}=1.108 \mathrm{~k J / k g \cdot K}$, and $k=1.35$.

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 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 $T_0=300 \mathrm{~K}, p_0=1\ \text{bar}$.

Consider a combination of a gas turbine power plant and a steam power plant, as shown in figure. The gas turbine operates at higher temperatures (thus called a topping cycle) than the steam power plant (then called a bottom cycle). Assume both cycles have a thermal efficiency of $32 \%$. What is the efficiency of the overall combination, assuming $Q_L$ in the gas turbine equals $Q_H$ to the steam power plant?

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 $18 \mathrm{~kg} / \mathrm{s}$. 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. Answer: $2979 \mathrm{~kW}$

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.

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 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 simple Brayton cycle using air as the working fluid has a pressure ratio of 10. The minimum and maximum temperatures in the cycle are 295 and 1240 K. Assuming an isentropic efficiency of 83 percent for the compressor and 87 percent for the turbine, determine (a ) the air temperature at the turbine exit, (b ) the net work output, and (c) the thermal efficiency.