2020 Kinetic TheoryIdeal Gas Equation Medium Question 1 of 5 in Ideal Gas Equation

A cylinder contains hydrogen gas at pressure of 249 kPa and temperature $27^\circ C$. Its density is: ($R=8.3\ J\,mol^{-1}K^{-1}$)

A $0.2\ kg/m^3$
B $0.1\ kg/m^3$
C $0.02\ kg/m^3$
D $0.5\ kg/m^3$

The answer is A.

Solution

$PM = \rho RT \Rightarrow \rho = \frac{PM}{RT}$ $P = 249 \times 10^3\ N/m^2$, $M = 2 \times 10^{-3}$ kg/mol, T = 300 K $\rho = \frac{249 \times 10^3 \times 2 \times 10^{-3}}{8.3 \times 300} = 0.2\ kg/m^3$

Concept density of an ideal gas

Ideal Gas Equation in past papers

5 questions from this chapter have appeared across 5 exam years.