Question

According to Boyle's law, the shape of the graph of pressure vs the reciprocal of volume of a gas, is:

• A. Parabolic
• B. Hyperbolic
• C. Line through the origin
• D. Exponentially decreasing

Answer 1

The correct option is C Line through the origin

According to Boyle's law, the volume $\left(\text{V}\right)$ of a fixed amount of an ideal gas decreases with increase in the pressure $\left(\text{P}\right)$, at constant temperature $\left(\text{T}\right)$.

$\text{P}\propto \frac{1}{\text{V}}⟹\text{PV}=$ constant
So, the plot of $\text{P}$ vs $\frac{1}{\text{V}}$ is a straight line passing through the origin, like $\text{y}=\text{mx}$ or $\frac{\text{y}}{\text{x}}=\text{m}$.