find the temperature of mixture is 50 grams of water at 70 degree centigrade mixed with 70 grams of water at 50 degree centigrade
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we know that, in caloriemetry
heat gain by water= heat lost by water
(at 50*C) (at 70*C)
![70(t - 50) = 50(70 - t) \\ 7t - 350 = 350 - 5t \\ 12t = 700 \\ t = {58.33 }^{\degree}c 70(t - 50) = 50(70 - t) \\ 7t - 350 = 350 - 5t \\ 12t = 700 \\ t = {58.33 }^{\degree}c](https://tex.z-dn.net/?f=70%28t+-+50%29+%3D+50%2870+-+t%29+%5C%5C+7t+-+350+%3D+350+-+5t+%5C%5C+12t+%3D+700+%5C%5C+t+%3D+%7B58.33+%7D%5E%7B%5Cdegree%7Dc)
therefore, temperature of the final mixture is 58.33*C
heat gain by water= heat lost by water
(at 50*C) (at 70*C)
therefore, temperature of the final mixture is 58.33*C
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