200 g of ice at 0°C is melted completely by absorbing $10^4$ J of heat. What is the latent heat of fusion of water? Provide answer in J/kg.

Step-by-step solution

1. Convert mass of ice to kilograms: $m=200\text{ g}=0.2\text{ kg}$.
2. Use the definition of latent heat of fusion: $L_f=\frac{Q}{m}$, where $Q=10^4\text{ J}$.
3. Compute $L_f=\frac{10^4}{0.2}=5.0\times 10^4\text{ J/kg}$.
4. State the result.

Concept tested: Latent heat of fusion

Published 13 October 2026 · How this solution was prepared and checked