physical science

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a 1.0 kg sample of metal with a specific heat of 0.50KJ/kgCis heated to 100.0C and then placed in a 50.0g sample of water at 20.0C. What is the final temperature of the metal and the water?

I can't figure this out. Is the answer room temperature???

  • physical science -

    No. The sum of heats gained is zero.

    heat gained by water + heat gained my metal=0

    mw*cw*(Tf-20)+mm*cm*(Tf-100)=0

    solve for Tf.

  • physical science -

    [1.0Kg][1000g][100C-Tf][0.50KJ][ 1Kg][1000J] = [50.0g][Tf-20C][4.184 J]
    [ 1Kg] [ KgC][1000g][ 1KJ] [ gC ]
    [1000g][100C-Tf][0.50J] = [50.0g][Tf-20C][4.184 J]
    [ gC] [ gC ]
    [1000g][100C-Tf][0.50 J/gC] = [Tf-20C]
    [ 50.0g] [4.184 J/gC]
    [2.39][100C-Tf] = [Tf-20C]
    239C-2.39Tf = Tf-20C
    239C + 20C = Tf + 2.39Tf
    259C = 3.39Tf
    259C = Tf
    3.39
    76C = Tf

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