An ideal gas has pressure P, volume V and absolute temperature T. If m is the mass of each molecule and K is the Boltzmann constant then density of the gas is

Question

An ideal gas has pressure P, volume V and absolute temperature T. If m is the mass of each molecule and K is the Boltzmann constant then density of the gas is (A) (Pm/KT) (B) (KT/Pm) (C) (Km/PT) (D) (PK/Tm)

Tardigrade Admin · Accepted Answer

From PV = nRT we can find PV = NKT here K is a Boltzmann constant Now ρ= m / V =( Nm / V ) putting the value in above equation we get ρ=( Pm / KT )

Q. An ideal gas has pressure $P$ , volume $V$ and absolute temperature $T$ . If $m$ is the mass of each molecule and $K$ is the Boltzmann constant then density of the gas is

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

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

$\frac{K m}{PT}$

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

From PV $= n RT$ we can find
$P V = N K T$ here $K$ is a Boltzmann constant
Now $ρ = m / V = \frac{N m}{V}$
putting the value in above equation we get $ρ = \frac{P m}{K T}$

Q. An ideal gas has pressure P, volume V and absolute temperature T. If m is the mass of each molecule and K is the Boltzmann constant then density of the gas is

KTPm​

PmKT​

PTKm​

TmPK​