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22 December, 14:46

What is the final equilibrium temperature when 12 g of milk at 7◦C is added to 175 g of coffee at 69◦C? Assume the specific heats of milk and coffee are the same as that of water, and neglect the specific heat of the container. Answer in units of ◦C.

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  1. 22 December, 15:02
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    65.1 degree C

    Explanation:

    mass of milk, m1 = 12 g

    T1 = 7 degree C

    mass of coffee, m2 = 175 g

    T2 = 69 degree C

    Let T be the equilibrium temperature.

    According to the principle of calorimetery

    Heat lost by hot body = heat gained by cold body

    mass of coffee x specific heat of coffee x decrease in temperature = mass of milk x specific heat of milk x rise in temperature

    175 x c x (69 - T) = 12 x c x (T - 7)

    12075 - 175 T = 12 T - 98

    12173 = 187 T

    T = 65.1 degree C
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