Chapter 15, Problem 119A

Interpretation Introduction

Interpretation:

The new volume of gas is to be calculated after the change in temperature.

Concept introduction:

According to Charles’ law states, the volume of a gas with fixed mass and constant pressure is directly proportional to its temperature.

Answer to Problem 119A

The volume of gas at new temperature is 29.125 cm³

Explanation of Solution

$\begin{array}{l}Initialvolumeofgas{V}_1=20c{m}^3\hfill \\ Initialtemperatureofgas{T}_1=-10°C=-10+273=263K\hfill \\ Finalvolumeofgas{V}_2=?\hfill \\ Fainltemperatureofgas{T}_2=110°C=110+273=383K\hfill \\ \begin{array}{l}AccordingtoCharles’law,\frac{V_1}{T_1}=\frac{V_2}{T_2}\\ V_2=\frac{V_1{T}_2}{T_1}\\ V_2=\frac{20\times 383}{263}\\ V_2=29.125c{m}^3\end{array}\hfill \end{array}$

Conclusion

The volume of gas at new temperature was calculated using Charles law and was found to be 29.125 cm³.