An autoclave contains 1000 cans of pea soup. It is heated to an overall temperat

Question

An autoclave contains 1000 cans of pea soup. It is heated to an overall temperature of 100°C. If the cans are to be cooled to 40°C before leaving the autoclave, how much cooling water is required if it enters at 15°C and leaves at 35°C? The specific heats of the pea soup and the can metal are respectively 4.1 kJ kg-1 °C-1 and 0.50 kJ kg-1°C-1. The weight of each can is 60 g and it contains 0.45 kg of pea soup. Assume that the heat content of the autoclave walls above 40°C is 1.6 x 104 kJ and that there is no heat loss through the walls.

Explanation / Answer

Let w = the weight of cooling water required;
and the datum temperature be 40

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