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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?

mKT

P/(kT)

Pm/(kT)

P/(kTV)

Solution:

From the ideal gas law, PV = NkT => NV = PkT
Density of gas = Nm/V = Pm/kT