Four ice cubes at exactly 0 Celsius having a total mass of 55.0g are combined with 120g of water at 77 Celsius in an insulated container. If no heat is lost to the surroundings, what will be the final temperature of the mixture?

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  1. You have three sources of heat in and heat out.
    1. heat to melt ice +
    2. heat to raise T of melted ice to final T -
    3. heat lost from 120g H2O
    #1 + #2 + #3 = 0

    (mass ice x heat fusion) + [mass melted ice x specific heat melted ice (H2O) x (Tfinal-Tinitial)] + [mass water already there x specific heat H2O x (Tfinal-Tinitial)] = 0
    Substitute and solve for Tfinal.

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