1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Determine the final temperature of the mixture

  1. Feb 14, 2005 #1


    User Avatar

    A combination of 0.250 kg of water at 20*C, 0.400 kg of aluminum at 26.0*C, and 0.100 kg of copper at 100*C is mixed in an insulated container and allowed to come to thermal equilibrium. Ignore any energy transfer to or from the container and determine the final temperature of the mixture.

    I know to use Q=mc(delta)T and that the energy lost should equal the energy gained, but how do I set up the equation for problems like this?
    One of the things that I don't know how to figure out is whether the aluminum will be losing energy to the water or gaining it from the copper. So I don't know how to set this up.

  2. jcsd
  3. Feb 14, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    HINT:The total heat transfered must be zero (the absorbed one is positive and the given one is negative,when u add them,they will yield zero).

  4. Feb 14, 2005 #3

    Doc Al

    User Avatar

    Staff: Mentor

    Let the equations do the work for you. Each substance (water, copper, aluminum) will have a heat transfer: [itex]\Delta Q_1 = m_1c_1 (T_f - T_i)[/itex]. The total [itex]\Delta Q = \Delta Q_{water} + \Delta Q_{aluminum} + \Delta Q_{copper}[/itex] equals zero and the final temp is the same for all.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?