Question

Find the density of an ideal gas, if it is given that a sample of this ideal gas occupies volume $V$ at pressure $P$ and absolute temperature $T$ . Also, take the mass of each molecule to be $m$ .

• A. $mKT$
• B. $\frac{P m}{K T}$
• C. $\frac{P}{K m}$
• D. $\frac{P}{K T}$

Answer 1

Answer: (B)

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