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}

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\frac{K T}{P m}

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\frac{K m}{P T}

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\frac{P K}{T m}

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Solution

The correct option is A $\frac{P m}{K T}$
From $P V = n R T$ 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 $ρ = \frac{P m}{K T}$

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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

The correct option is A PmKTFrom PV=nRT we can findPV=NKT here K is a Boltzmann constantNow ρ=m/V=NmVputting the value in above equation we get ρ=PmKT

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

The correct option is A $\frac{P m}{K T}$
From $P V = n R T$ 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 $ρ = \frac{P m}{K T}$