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 of the given state of an ideal gas is known as ideal gas equation

p V = k T

9 (\frac{m}{ρ}) = k T

[∵ 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

$mk T$

$\frac{p m}{k T}$

$\frac{p}{km}$

$\frac{p}{k T}$

The equation which relates the pressure (p), volume (V) and temperature of the given state of an ideal gas is known as ideal gas equation
$p V = k T$
$9 (\frac{m}{ρ}) = k T$
$[∵ V = \frac{m}{ρ}]$
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​