Carnot engine boiling water problem

[candyq27]

Homework Statement

A Carnot engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. When 5650 J of heat is put into the engine and the engine produces work, how many kilograms of ice in the tub are melted due to the heat delivered to the cold reservoir?

Homework Equations

Melting point of water: 0C
Boiling point of water: 100C
Lf water: 33.5x10^4
Lv water: 22.6x10^5
1-(Ql/Qh)

The Attempt at a Solution

I found 1-Ql/Qh to be 1-(273/373) = 0.268 and then i multiplied that by 5650J and got 1514.75J to be the work done
Then I converted that using the Lf to get the kg so (1514.75J)/(33.5x10^4J/kg) = 0.0045kg

 

[candyq27]

This answer is wrong. Can someone help me?