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So this is the scenario.

I have 27 litres of water at 100 degrees Celsius. I have to cool the water to 20 degrees Celsius within 5 minutes. Since the heater power required is too high, I thought this could be done by adding in water at 20 degrees Celsius while draining out the water at 100 degrees Celsius simultaneously. I need to decide on the following: flow rate of cool water in, flow rate of hot water out while making sure the water cools to 20 degrees within the 5 minutes.

I have no idea which formulae can help me out here. Can anyone please advise which formulae can be used?

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# Cooling hot water by adding in cool water and draining out the hot water - Formulae

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