Air flows steadily through a cooler with a mass flow rate of 5 kg min-1. The...

   

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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-¹K-¹ and Cv = 0.718 kJ kg-¹K-1 and the specific heat for the water = 4.187 kJ kg-¹K-¹, determine the temperature of the air as it leaves the cooler. 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-¹K-¹ and Cv = 0.718 kJ kg-¹K-1 and the specific heat for the water = 4.187 kJ kg-¹K-¹, determine the temperature of the air as it leaves the cooler.

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