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Questions  

A given sample of an ideal gas occupies a volume V at a pressure  P and absolute temperature  T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?

a
P /(k T)
b
P m /(k T)
c
P /(k T V)
d
mkT

detailed solution

Correct option is B

As PV=nRT or, n=PVRT= mass  molar mass …………(1) Density (ρ)= mass  volume =( molar mass )PRT=mNAPRT…..(from eq 1)ρ=mPkT  ∵R=NAk

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