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## Homework Statement

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

## Homework 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

## 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