Chapter 23, Problem 22A

Calculate the energy needed to melt 50 grams of $0°C$ ice.

To determine

The energy needed to melt 50 grams of 0°C ice.

Answer to Problem 22A

The energy needed to melt the 50 gm ice at 0°C is 16700 J.

Explanation of Solution

Given info:

The mass of ice , $m=50gm$

The temperature of ice ,

  $T=0°C=273K$

Formula used:

The energy needed is calculated as :

  $Q=mL$

Here, L is the latent heat of fusion of water in J/gm.

  $L=334J/gm$

Calculation:

Substituting the given values, we get

  $\begin{array}{l}Q=mL\\ m=50gm\\ L=334J/gm\\ Q=50\times 334=16700J\end{array}$

Conclusion:

The energy needed to melt the 50 gm ice at 0°C is 16700 J.