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Homework Help: Melting ice using latent heat and heat of fusion

  1. Jan 14, 2010 #1
    1. The problem statement, all variables and given/known data

    What quantity of ice at 2 deg Celsius can be melted by 100 J of heat?

    2. Relevant equations

    q = m c (delta) t (mass x specific heat x change in temp)
    q = m l (mass x heat of fusion)

    specific heat of ice = 2.09 j/g-K
    heat of fusion = 6.01 kJ/mol

    3. The attempt at a solution

    I've tried to solve this problem by combining both equations for the same q such that
    q = mc(delta)t + ml which rearranges to:
    q = m (c delta t + l)

    solving for m: m = q/ (c delta t + l)

    The part I got stuck is when I tried to solve for m since m is in grams, and the heat of fusion is in moles. Is there another way to solve this or am I missing something?
    Any help would be greatly appreciated
  2. jcsd
  3. Jan 14, 2010 #2


    User Avatar
    Science Advisor
    2017 Award

    You can use the molecular weight of water (~18g/mol) to convert between grams and moles.
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