Chapter 7, Problem 9SAP

To determine

To find: correct option representing the volume at given temperature.

Explanation of Solution

Given information:

Let the volume and temperature be $V\text{ and }T$ respectively.

  $V\propto T$

  $\begin{array}{l}{V}_1=12{\text{ in}}^3\\ T_1=60°\\ T_2=70°\end{array}$

The options are as follows:

1. 10 in³
2. 11.5 in³
3. 14 in³
4. 14.5 in³
5. 16 in³

Calculation:

Let the volume at $T_2$ be $V_2$ , and it can be evaluated as follows:

  $\begin{array}{c}\frac{V_1}{T_1}=\frac{V_2}{T_2}\left[\because V\propto T\right]\\ \frac{12{\text{ in}}^3}{60°}=\frac{V_2}{70°}\\ V_2=\left(70°\right)\left(\frac{12{\text{ in}}^3}{60°}\right)\\ =14{\text{ in}}^3\end{array}$

Since, the required volume is $14{\text{ in}}^3$ . So, option C. is correct.