Nitrogen is stored in a large chamber under conditions of \(450 \mathrm{~K}\) and \(1.5 \times 10^{5} \mathrm{~N} /\) \(\mathrm{m}^{2}\). The gas leaves the chamber through a convergent-only nozzle whose outlet area is \(30 \mathrm{~cm}^{2}\). The ambient room pressure is \(1 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\) and there are no losses.

(a) What is the velocity of the nitrogen at the nozzle exit?

(b) What is the mass flow rate?

(c) What is the maximum flow rate that could be obtained by lowering the ambient pressure?