Chapter 12, Problem 82A

Interpretation Introduction

Interpretation:

The reason for $10g$ of liquid water to take more energy to boil than to melt an equivalent amount of ice needs to be determined.

Concept introduction:

Heat required to convert a solid into a liquid or a liquid into a vapor is known as latent heat.

Answer to Problem 82A

$10g$ of liquid water take more energy to boil than to melt an equivalent amount of ice because the heat of vaporization is higher than the heat of fusion.

Explanation of Solution

It takes more energy to boil $10g$ of water than to melt equivalent amount ice due to the difference in the amount of heat required to overcome the forces of attraction by keeping the temperature constant. When ice melts it is called latent heat of fusion which is around $334J/g$ and whereas when the water boils it is called latent heat of vaporization which is around $2230J/g$ of energy.

Conclusion

Because of the heat of vaporization is higher than the heat of fusion $10g$ of liquid water takes more energy to boil than to melt an equivalent amount of ice.