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22 September, 12:10

A piece of hot metal is put into an equal mass of water. The water temperature rises 5o and the metal's temperature drops 10o. What is the specific heat of the metal?

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  1. 22 September, 13:50
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    The answer to your question is Cm = 2.093 J/kg°C

    Explanation:

    Data

    mass metal = mass of water

    Δ water = 5°

    Δ metal = 10°

    Cm = ?

    Cw = 4.186 J/Kg°C

    Formula

    for metal for water

    mCmΔTm = mCwΔTw

    Cancel mass of metal

    Cm ΔTm = CwΔTw

    solve for Cm

    Cm = (CwΔTw) / ΔTm

    Substitution

    Cm = (4.186 x 5) / 10

    Simplification

    Cm = 20.93 / 10

    Result

    Cm = 2.093 J/kg°C
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