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Finding heat gained by water when hot metal is placed in it.

  1. Nov 12, 2013 #1
    1. The problem statement, all variables and given/known data

    A 85 gram piece of metal is heated to 98°C and placed into 200mL of water insulated at 20°C. If the equilibrium temperature is 26.50, find the heat gained by the water.

    2. Relevant equations

    200 mL = 200 g.
    85 g x 98 degrees celsius x specific heat of metal = 200 g x 20 degrees celsius x 4.180 J x g x C.


    3. The attempt at a solution
    Not really sure how to go about this problem. Any help in the right direction would be greatly appreciated!
     
  2. jcsd
  3. Nov 12, 2013 #2

    gneill

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    Note that you weren't given a specific heat for the metal. So the information about the metal is likely spurious (not required). Just look at the water.
     
  4. Nov 12, 2013 #3

    HallsofIvy

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    You are told that the water was originally 20 degrees Celcius and increased to 26.5 degrees Celcius, a difference of 6.5 degrees. What is the heat is required to raise the temperature of 200 ml of water by 6.5 degrees?
     
  5. Nov 13, 2013 #4
    So would I take 200 g x 6.5 degrees celsius x 1 cal/ g C ? I come up with 1300 cal, would this be the heat gained by the water?
     
  6. Nov 13, 2013 #5
    Once I know the heat gained by the water how can I find the specific heat of the metal?
     
  7. Nov 13, 2013 #6

    gneill

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    Yes.

    The same form of equation applies. What was the temperature change for the metal? The heat that changed the water's temperature came from the metal, so...
     
  8. Nov 13, 2013 #7
    Specific heat is measured in cal/ g C. I have 1300 cal. which is the heat that changed the waters temperature and this heat came from the metal. So do I take 1300 cal. / 85 g. x 98 degrees celsius?
     
  9. Nov 13, 2013 #8

    haruspex

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    What was the change in temperature of the metal?
     
  10. Nov 14, 2013 #9
    I do not know that. Do I use the same equation I used to find change in temp of the water?.
     
  11. Nov 14, 2013 #10

    haruspex

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    You know the initial temperature. At equilibrium, what will be the difference in temperature between the metal and the water?
     
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