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Mechanical Properties Of Fluids

Question

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80 gm of ice at 0°C is mixed with 80gm of water at 80°C. Find the final temperature of the mixture.

Solution

Let T be the final temperature of the mixture.
According to law of calorimetry,
Heat gained by ice = Heat lost by water
Therefore,

space space space space space space space space straight m subscript straight i space straight L space equals space straight m subscript straight w space straight s left parenthesis straight T subscript straight w minus straight T right parenthesis

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80 x 80 = 80 x 1 (80-T)

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80 = 80 - T

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T=0^oC, is the final temperature of the mixture.

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