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Finding Specific Heat of Unknown Metal

  1. Jan 6, 2017 #1
    1. The problem statement, all variables and given/known data

    I'm asked to find the specific heat of Metal X in this simulation:

    Mass of Metal X = 120 g
    Temp of Metal X = 220 degrees
    Mass of Water = 30 g
    Initial Temp of Water = 20 degrees
    Final Temp of Water = 85.6 degrees
    Specific Heat of Water = 4.186 J/gram C

    2. Relevant equations

    ΔQ = mCpΔT is the equation for finding the heat needed to change the temperature.

    3. The attempt at a solution

    Qwater = mwater*cpwater*change in temperature
    Qwater = 30*4.186*65.6
    Qwater = 8238.048 J

    I think the Q of the metal would be -8238.048 J. I'm not sure what to do from there.
  2. jcsd
  3. Jan 6, 2017 #2
    It's been a while since I've done this, so someone please correct me if I am mistaken... So you have the initial heat of your metal as ##8.24 kJ##. Specific heat capacity is measured in terms of ##\frac{J}{g⋅K}##. A total of ##8.24 kJ## of energy was transferred using ##120 g## of metal, at ##493 K##. Can you think of a quantity to describe the heat that can be transferred from this metal for any given mass and temperature?
    Last edited: Jan 6, 2017
  4. Jan 6, 2017 #3
    Is it 0.51?
    I did these calculations after getting the Q for the metal:
    Cpmetal = Q/(m*change in temp)
    Cpmetal = -8238.048/(120*-134.4)
    Cpmetal = 0.51
  5. Jan 6, 2017 #4
    That looks correct to me. You should also add in your units.
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