Calculating Heat of Fusion and Capacity for Water: 50g Ice to 22°C Liquid Water

[Pinkchika88]

Homework Statement

the heat of fusion of water is 6.01 kj/mol. the heat capacity of liquid water is 75.3 j/mol*k. the conversion of 50g of ice at 0 degrees C to liquid water at 22 degrees C requires _____kj of heat.

The Attempt at a Solution

i converted grams of ice to mols and got 2.778
then i multiplied by the heat capacity of 75.3 and the change in temperature of 22
i then converted 4601.667j to 4.601kj and added the heat of fusion 6.01kj/mol
i got an answer of 10.611kj but my study guide says the answer should be 21.3kj and I am not sure where in my calculations i went wrong...could someone please help?

 

[danago]

You are close.

Take note that the heat of fusion is given in units of energy per mole i.e. you need to multiply the 6.01 by the number of moles.