Conditions entering the compressor of an ideal Brayton cycle are \(520^{\circ} \mathrm{R}\) and 5 psia. The compressor pressure ratio is 12 and the maximum allowable cycle temperature is \(2400^{\circ} \mathrm{R}\). Assume that air has negligible velocities in the ducting.

(a) Determine \(w_{t}, w_{c}, w_{n}, q_{a}\), and \(\eta_{\text {th }}\).

(b) What flow rate is required for a net output of \(5000 \mathrm{hp}\) ?