(Solved): An ideal Diesel cycle has a compression ratio of 18 and a cutoff ratio of \( 1.5 \). Determine the ...

An ideal Diesel cycle has a compression ratio of 18 and a cutoff ratio of \( 1.5 \). Determine the maximum air temperature and the rate of heat addition to this cycle when it produces 170 hp of power and when the isentropic compression efficlency is 90 percent and the isentropic expansion efficiency is 95 percent. The cycle is repeated 1200 times per minute, and the state of the air at the beginning of the compression is \( 95 \mathrm{kPa} \) and \( 17 \mathrm{C} \). Use constant specific heats at room temperature. The properties of air at room temperature are \( c_{p}=1.005 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}, c_{v}=0.718 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}, R=0.287 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K} \), and \( k=1.4 \) The maximum alr temperature is K. The rate of heat addition to this cycle is kW.