Chapter 3, Problem 110E

Interpretation Introduction

Interpretation: The time required to heat $5.5L$ of water from ${\text{25 }}^{\circ }\text{C}$ to ${\text{42 }}^{\circ }\text{C}$ is to be determined.

Concept Introduction:

Density is defined as mass per unit volume.

$d=\frac{m}{V}$

Here, $m$ is the mass of the substance and $V$ is the volume of the substance.

When a substance absorbs heat $q$, the temperature change for this substance is directly proportional to the heat absorbed and expressed as follows:

$q=mC\Delta T$

Here, $C$ is the heat capacity of the substance, $\Delta T$ is the temperature change, and $m$ is the mass of the substance.

The power is defined as the work or energy divided by the time and can be expressed as follows:

$P=\frac{q}{t}$

Here, $Q$ is the energy and $t$ is the time.