Air at P = 100 kPa and V = 1.5 m3/kg enters an insulated nozzle with a velocity of u = 500 m/s. The air leaves the nozzle at P = 80 kPa and V = 1 m3/kg. Starting from the energy balance, estimate the exit velocity of the gas. Please state clearly all your assumptions including your definition of system. Assume air to be an ideal gas with the constant heat capacities, Cv = (5/2)R and Cp = (7/2)R. The molar mass of air is 0.029 kgmol-1. Here, R is the gas constant which has the value of 8.314 Jmol^-1K^-1.