Hot gases from a combustion chamber flow isentropically through a diverging-converging nozzle such that the flow at the exit of the converging nozzle is supersonic. The nozzle has a throat area of 0.1 m^2 and an exit area of 4 m^2. The temperature of the fluid at the throat is 3000 K, and the density of the fluid within the combustion chamber is 27.8 kg/m^3. If the fluid has a ratio of specific heats of k = 1.3 and a molar mass of 11 g/mol, calculate the force imparted by the fluid at the exit of the nozzle. You may assume that the fluid is an ideal gas [6 marks]
Hint: From your previous fluids course, you should know that through a momentum balance, the force imparted by the fluid is F = pAV^2.