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 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.

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 $800 \mathrm{~kPa}$ 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 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 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 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.

Factor the trinomial.

$$x ^ { 2 } + 2 x - 15$$

Determine whether the given matrix A is diagonalizable. If so, find the matrix P that diagonalizes A and the diagonal matrix D such that $\mathbf{D}=\mathbf{P}^{-1} \mathbf{A} \mathbf{P}$.

$$\left(\begin{array}{rrrr}{4} & {2} & {-1} & {4} \\ {0} & {2} & {0} & {0} \\ {1} & {3} & {2} & {1} \\ {0} & {0} & {0} & {2}\end{array}\right)$$

Write a rule for g that represents the indicated transformations of the graph of f.

$$f ( x ) = \cos 2 \pi x;$$

translation 4 units down and 3 units left.

How credible is the writer, according to the information given about him at the end of the article? A. Not very, because he is biased B. Not very, because he is an ordinary citizen C. Very, because he sincerely believes his opinions and is honest D. Very, because he is an expert on the topic

The inequality

$$x \leq 1324$$

represents the weights (in pounds) of all mako sharks ever caught using a rod and reel. Your friend says this means no one using a rod and reel has ever caught a mako shark that weights 1324 pounds. Your cousin says this means someone using a rod and reel has caught a mako shark that weights 1324 pounds. Who is correct? Explain your reasoning.

The average atmospheric pressure in Denver (elevation 5 1610 m) is 83.4 kPa. Determine the temperature at which water in an uncovered pan boils in Denver.