Question

A sample of an ideal gas occupies a volume V at pressure P and absolute temperature T. The mass of each molecule is m, then the density of the gas is?

• A. mKT
• B. $\frac{Pm}{KT}$
• C. $\frac{P}{Km}$
• D. $\frac{P}{KT}$

Answer 1

The correct option is B $\frac{Pm}{KT}$

The equation which relates the pressure (P), volume (V) and temperature (T) of the given state of an ideal gas is known as ideal gas equation.
PV$=$KTN, where N is the number of molecules
$P\left(\frac{Nm}{\rho }\right)=KTN$ $[\because V=\frac{m}{\rho }]$
Density of gas, $\rho =\frac{Pm}{KT}$.