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7 May, 12:54

A new metal alloy is found to have a specific heat capacity of 0.321 J / (g⋅∘C). First, 44.5 g of the new alloy is heated to 100. ∘C. Then, it is placed in an ideal constant-pressure calorimeter containing 175 g of water (Vs, water=4.184 J / (g⋅∘C)) at an initial temperature of 20.0 ∘C. What will the final temperature of the mixture be after it attains thermal equilibrium

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  1. 7 May, 13:13
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    The final temperature is 21.531°c

    Explanation:

    Heat gained by the water = heat lost by the metal

    Heat gained = (m) (c) (∆tita)

    Where m = mass

    C = specific heat capacity

    ∆tita = temperature change

    X = equilibrium temperature

    So ...

    Heat gained by water

    = 175*4.185 * (x-20)

    = 732.2x - 14644

    Heat lost by metal

    = 44.5*0.321 * (100-x)

    =1428.45 - 14.2845x

    So ...

    1428.45 - 14.2845x = 732.2x - 14644

    1428.45+14644 = 732.2x + 14.2845x

    16072.45 = 746.4845x

    16072.45/746.4845 = x

    21.531 = x

    The final temperature is 21.531°c
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