NEET2016PhysicsThermodynamicsActual
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
- AP k T
- BP m k T
- CP k T V
- Dm k T
Correct answer
B. P m k T
Step-by-step solution
PV = nRT ⇒ PV = m M RT P = R M m V T ⇒ P ρ = R m N A T ⇒ P ρ = k T m ρ = P m k T .