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Mixing ice and water

  1. Jun 22, 2017 #1
    1. The problem statement, all variables and given/known data

    300gm of water at 25°C is added to 100gm of ice at 0°C ,find the final temperature of the mixture .Also find the final composition of mixture .

    2. Relevant equations

    Specific heat of water = 1 cal/gm/°C
    Latent heat of fusion of ice = 80 cal/gm

    3. The attempt at a solution

    Heat released by 300gm water to reach 0°C = 300x1x25 = 7500 cal

    Heat required by ice to melt completely
    = 100x80= 8000 cal

    Since heat supplied is less than heat required , whole ice will not melt .

    Amount of ice melted = 7500/80 = 93.75gm

    Final composition of mixture = 393.75gm water +6.25gm ice at 0°C

    Is my answer correct ?
     
    Last edited: Jun 22, 2017
  2. jcsd
  3. Jun 22, 2017 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    It is correct.
     
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