Question

What happens to the pressure when the volume of a fixed mass of gas is doubled?

Answer 1

Boyle's Law:

• At constant temperature, the pressure of a fixed amount (i.e., number of moles n) of gas varies inversely with its volume. This is known as Boyle’s law.
• Mathematically, it can be written as;

$$\begin{gathered} \mathrm{p}\propto \frac{1}{\mathrm{V}}(\mathrm{at}\mathrm{constant}\mathrm{T}\mathrm{and}\mathrm{n}) \\ \Rightarrow \mathrm{p}={\mathrm{k}}_1\frac{1}{\mathrm{V}} \end{gathered}$$

where, ${\mathrm{k}}_1$is the proportionality constant.

• When the volume of a fixed gas is doubled, the pressure is changed to half as they are in inverse relation to each other.