1. Limited time only! Sign up for a free 30min personal 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!

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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook