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A piece of aluminum (specific heat 910 J/kg C) of mass 200 g at 80C is dropped into a styrofoam cup filled with 100 mL of water at 20C. What the final temperatures of the water and the aluminum? Show calculations.

I have Q=m c T
but I got 80C which I know is wrong because I set up Q1=Q2 which gave me that, could you please help me set up this problem.

  • physics -

    Call final temp = T
    Heat lost by Al = specific heat AL * mass of Al * (80-T)

    Heat gained by water - specific heat of H2O * mass of H2O *(T-20)

    Heat lost by Al = Heat gained by H2O

  • physics -

    right but I got 80 C both times, that cannot possibly be correct.

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