(20 Points) Air at P=100kPa and V=1.5m3/kg enters an insulated nozzle with a velocity of u=500m/s. The air leaves the nozzle at P=80kPa and V=1m3/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 0.029kgmol1. Here, R is the gas constant which has the value of 8.314Jmol1K1