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

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) (Pm/KT) (C) (P/Km) (D) (P/KT)

Tardigrade Admin · Accepted Answer

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

P V = K TN

, where

N

is the number of molecules

P (\frac{N m}{ρ}) = K TN [∵ V = \frac{m}{ρ}]

Density of gas,

ρ = \frac{P m}{K T}

Q. 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

$m K T$

$\frac{P m}{K T}$

$\frac{P}{K m}$

$\frac{P}{K T}$

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
$P V = K TN$ , where $N$ is the number of molecules
$P (\frac{N m}{ρ}) = K TN [∵ V = \frac{m}{ρ}]$
Density of gas, $ρ = \frac{P m}{K T}$

Q. 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

mKT

KTPm​

KmP​

KTP​