Question

If $\text{P},\text{V},$ and $\text{T}$ represent the pressure, volume, and temperature of a gas, the correct representation of Boyle's law is:

• A. $\text{V}\propto \text{P}$, at constant $\text{T}$
• B. $\text{V}\propto \frac{1}{\text{P}}$, at constant $\text{T}$
• C. $\text{P}\propto \frac{1}{\text{T}}$, at constant $\text{V}$
• D. $\text{PV}\propto \text{T}$

Answer 1

The correct option is B $\text{V}\propto \frac{1}{\text{P}}$, at constant $\text{T}$

Assuming that the gas given is ideal, for an invariable mass of the gas, the volume of the gas is inversely proportional to the pressure of the gas, at constant temperature.

$⟹\text{V}\propto \frac{1}{\text{P}}$, at constant $\text{T}$

or $\text{PV}=\text{constant}$