Answer:
See the answer below.
Explanation:
The latent heat of fusion is defined as the amount of energy needed to make a phase change from solid to liquid. And it can be calculated by means of the following expression:

where:
Qfusion = Heat Energy [J]
m = mass = 0.65 [kg]
Dh = latent heat fusion = 330000[J/kg]
![Q_{fusion}=0.65*330000\\Q_{fusion}=214500[J]](https://tex.z-dn.net/?f=Q_%7Bfusion%7D%3D0.65%2A330000%5C%5CQ_%7Bfusion%7D%3D214500%5BJ%5D)
2)
We know that energy can be calculated from power, where power is defined as the relationship between energy over time.

where:
P = power = 60 [w]
E = energy [J]
t = time = 5 [min] = 300 [s]
![E=P*t\\E=50*300\\E=15000[J]](https://tex.z-dn.net/?f=E%3DP%2At%5C%5CE%3D50%2A300%5C%5CE%3D15000%5BJ%5D)
The mass change due to the process is equal to:
![m=282-274\\m=8[g]=0.008[kg]](https://tex.z-dn.net/?f=m%3D282-274%5C%5Cm%3D8%5Bg%5D%3D0.008%5Bkg%5D)
Now using the following equation for the latent heat of Fusion, we can calculate this value:
![Q=m*Dh\\Dh =Q/m\\Dh=15000/0.008\\Dh=1875000[J/kg]](https://tex.z-dn.net/?f=Q%3Dm%2ADh%5C%5CDh%20%3DQ%2Fm%5C%5CDh%3D15000%2F0.008%5C%5CDh%3D1875000%5BJ%2Fkg%5D)