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\(Pm\over Kt\)

B\(Kt\over Pm\)

C\(Km\over Pt\)

D\(PK\over tm\)

Answer 1

correct option is A) Pm/Kt

explaination::
From PV=nRT

PV=NKT here K is boltzmann constant

now  ρ=m/V

ρ=Nm/V

therefore , V=NKT/P  

ρ=Pm/NKT value of n is 1 here ,

ρ=pm/Kt