Answer:
To determine the heat needed to melt 40g of ice we use the following formula:
![Q=m.\Delta H_f](https://img.qammunity.org/2023/formulas/chemistry/college/2frous1ftyb3xozj6tuqv1bwxgsqa9wlds.png)
Where:
m is the mass of water
Hf is the heat of fusion
In this case we consider that the process hapens at 0°C.
The average heat of fusion is:
![\Delta H_f=333(J)/(g)](https://img.qammunity.org/2023/formulas/chemistry/college/orphaskl07sxdyirfuraheoanxsya6a638.png)
So we calculate:
![Q=40g.333(J)/(g)=13320J](https://img.qammunity.org/2023/formulas/chemistry/college/94p1xysjlb83wgduhfsh5s57wubjelrbet.png)
Now we convert the value to kJ:
![Q=13320J.(1kJ)/(1000J)=13.32kJ](https://img.qammunity.org/2023/formulas/chemistry/college/p1nxug0jb17zeezzdtzmpyfoecbpyqn3pr.png)
So the answer is 13.32kJ.