Chapter 23, Problem 57A

Answer Questions 57—61 in terms of joules rather than calories.

How much energy is needed to melt 5 kg of ice at $0°C$?

To determine

The energy needed to melt 5 kg of ice at $0^{\circ }C$ .

Answer to Problem 57A

The energy needed to melt 5 kg of ice at $0^{\circ }C$ is $1.67\times {10}^{6}J$ .

Explanation of Solution

Given Info:

Mass of ice ( $m$ ) = 5 kg

Latent heat of melting for ice ( $L_{ice}$ ) at = $3.34\times {10}^{5}J.k{g}^{-1}$

Formula used:

  $Q=m\times L_{ice}$

Where; $Q$ is heat energy required to melt ice.

Calculation:

On putting the values; we get

  $Q=5kg\times 3.34\times {10}^{5}Jk{g}^{-1}=1.67\times {10}^{6}J$

  $Q=1.67\times {10}^{6}J$

Conclusion:

Thus, the energy needed to melt 5 kg of ice at $0^{\circ }C$ is $1.67\times {10}^{6}J$ .