Question

A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas ?

• A. $P/\left(kTV\right)$
• B. $mkT$
• C. $P/\left(kT\right)$
• D. $Pm/\left(kT\right)$

Answer 1

The correct option is D $Pm/\left(kT\right)$


By using gas equation,$\frac{P}{\rho }=\frac{RT}{M_w}\Rightarrow \rho =\frac{P{M}_w}{RT}=\frac{P\times \left(m{N}_A\right)}{k{N}_{A}T}=\frac{Pm}{kT}$