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Question: A sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T, the mass of...

A sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T, the mass of each molecule is m. The expression for the density of gas is (k = Boltzmann’s constant)-

A

mkT

B

P/Kt

C

P/kTV

D

Pm/kT

Answer

Pm/kT

Explanation

Solution

PV = kT ̃ P(mρ)\left( \frac{m}{\rho} \right)= kT ̃ r =PmkT\frac{Pm}{kT}