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?
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a
P /(k T)
b
P m /(k T)
c
P /(k T V)
d
mkT
answer is B.
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Detailed Solution
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