(Solved): A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall ...

A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall pressure ratio of 8 . Air enters the compressor at \( 0^{\circ} \mathrm{C} \) and \( 110 \mathrm{kPa} \). The maximum cycle temperature is \( 1500 \mathrm{~K} \). The compressor and the furbines are isentropic. The high-pressure turbine develops just enough power to run the compressor. Assume constant properties for air at \( 300 \mathrm{~K} \) with \( c_{v}=0.718 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}, c_{p}=1.005 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}, R=0.287 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K} \), and \( k=1.4 \). Determine the temperature and pressure at state 4, the exit of the high-pressure turbine. (You must provide an answer before moving on to the next part) The temperature at state 4 is The pressure at state 4 is