Chapter 17, Problem 85A

Interpretation Introduction

Interpretation: The amount of liquid water produced and ice remaining by the addition of a certain amount of heat are to be determined.

Concept Introduction: The enthalpy of fusion ${\text{ΔH}}_{\text{fus}}$ , is the amount of energy that must be added to a solid substance to transform a quantity of that substance into a liquid at constant pressure.

Answer to Problem 85A

The amount of water produced at $\text{0}°\text{C}$ is $0.04\text{ kg}$ and the amount of ice that remains is $\text{0}\text{.96 kg}$ .

Explanation of Solution

Amount of heat given = $3.20\text{ kcal}$

  ${\text{ΔH}}_{\text{fus}}$ for ice at $\text{0}°\text{C}$ is $\text{80 kcal/kg}$

  $\text{80 kcal}$ of heat is used for conversion of = $\text{1 kg}$ of ice at $\text{0}°\text{C}$ to water

Thus, $\text{3}\text{.20 kcal}$ of heat is used for the conversion of = $\frac{\text{1 kg}}{80\text{ kcal}}\times 3.20\text{ kcal}=0.04\text{ kg}$ of ice at $\text{0}°\text{C}$ to water

Ice remains = $(1\text{ kg-}0.04\text{ kg) =0}\text{.96 kg}$