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Question
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?
Options
mkT
p/(kT)
Pm/(kT)
P/(kTV)
MCQ
Solution
Pm/(kT)
Explanation:
Ideal gas equation gives,
PV = nRT
∴ For n = 1
V = `"RT"/"P"` ..................(i)
∴ density = `"molar mass"/"volume"`
= `("m"("N"_"A")"P")/("RT")` ..................[From (i)]
But, `"R"/"N"_"A"` = k
k = Boltzmann constant
∴ density = `"mP"/"kT"`
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Classification of Gases: Real Gases and Ideal Gases
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