Chapter 11, Problem 13SAQ

Interpretation Introduction

To calculate: The final temperature of the mixture.

Introduction: When ice is placed in contact with warm water, two process takes place: melting of ice to cold water and warming of cold water. Thus, the heat lost by the warm water is equal to the sum of heat require to melt the ice and the heat require to warm the cold water.

$\begin{array}{l}\begin{array}{cccc}\begin{array}{l}heatrequire\\ tomeltice\end{array}& \begin{array}{l}+heatrequire\\ towarmthecold\text{}\text{}water\end{array}& =& \begin{array}{l}heatlostbythewarm\\ water\end{array}\end{array}\\ q_{ice}+q_{coldwater}=q_{warmwater}\end{array}$