Air flows steadily through a cooler with a mass flow rate of 5 kg min^-1. the air enters the cooler at a temperature of 250°c and a pressure of 1.5 bar. the air enters the cooler through a pipe of 100mm diameter. the velocity of the air on exit from the cooler is 25 ms^-1. the air is cooled with water with a mass flow rate of 7.5 kg min^-1 and the temperature of the water increases by 35°c as it passes through the cooler. assuming that the heat transfer from the air to the water is 100% efficient and that, for the air, cp = 1.004 kj kg^-1 k^-1 and cv = 0.718 kj kg k-1 and the specific heat for the water = 4.187 kj kg^-1 k-1, determine the temperature of the air as it leaves the cooler.