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Use the principle of calorimetry Heat lost by the hot body = heat gained by the cold body sp.heat for copper is 0.1 and for water 1 .Heat lost by copper = mass x sp.heat x change in tem. ...=75x0.1x(585 - t) , where t is the temperature of the mixture. Heat gained by beaker and water = (t - 285)(220 250x0.18) You can simplify to get the value of t I find t = 285.85 K You can check the calculations

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What is the purpose of baffle plates in heat exchanger?

baffles plates in heat exchanger provides required direction to the fluid for effective heat transfer process

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My furnace heat exchanger not sealed. Should I operate?

WATER is the worst thing you want in there. Get a second look and someone that knows what they are doing . Do not run, if you do not have carbon monoxide detector . . That magic gas can kill you, you can see it or smell it

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how do i design a plate heat exchanger to pasteurize mash for fermentation?