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2 December, 23:52

A 83.2 g sample of metal at 90.31 oC is added to 41.82 g of water that is initially at 19.93 oC. The final temperature of both the water and the metal is 28.42 oC. The specific heat of water is 4.184 J / (goC). Calculate the specific heat of the metal.

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  1. 3 December, 01:12
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    Answer: 0.2885J/g°c

    Explanation:

    Loss of heat of metal = Gain of heat by the water

    Therefore

    -Qm = + Qw

    Where

    Q = mΔTCp

    Q = heat

    M = mass

    ΔT = T. f - Ti

    Ti = initial temperature

    T. f = final temperature

    Cp = Specific heat (m is metal, w is water)

    -Qm = + Qw

    -[m (T. f-Ti) Cpm] = m (T. f-Ti) Cpw

    Therefore

    -[83.2g (28.42-90.31) Cpm] = 41.82g (28.42-

    19.93) 4.194J/g°c

    Cpm = 1485.54: 5149.25

    Cpm = 0.2885J/g°c

    Therefore, the specific heat of the metal is 0.2885J/g°c
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