2020 Phase-2 Kinetic TheoryIdeal gas equation - density form Medium Question 16 of 34 in Kinetic Theory

An ideal gas equation can be written as $\rho=\dfrac{M_0}{RT}P$ where $\rho$ and $M_0$ are respectively,

A Number density, mass of the gas
B Mass density, mass of the gas
C Number density, molar mass
D Mass density, molar mass

The answer is D.

Solution

Starting from $PV=nRT=\dfrac{m}{M_0}RT$, dividing by V gives $P=\dfrac{m}{VM_0}RT=\dfrac{\rho}{M_0}RT$, i.e. $\rho=\dfrac{M_0P}{RT}$, where $\rho$ is the mass density of the gas and $M_0$ is its molar mass.

Concept Ideal gas equation - density form

Kinetic Theory in past papers

34 questions from this chapter have appeared across 19 exam years.