Q. What is the mass of 2 L of nitrogen at 22.4 atm pressure and 273 K?

A) 28 g
B) $14 \times 22.4$ g
C) 56 g
D) None of these
Explanation

(a) From ideal gas equation, we have
$pV = nRT$
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ n = \frac{pV}{RT}$
Given, $p = 22.4\ atm\ pressure$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 22.4 \times 1.01 \times 10^{5}\ Nm^{- 2}$,
$V = 2L = 2 \times 10^{- 3}\ m^{3}$,
$R = 8.31\ J\ mol^{- 1} - K^{- 1}$,
$T = 273$ K
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ n = \frac{22.4 \times 1.01 \times 10^{5} \times 2 \times 10^{- 3}}{8.31 \times 273}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ n = 1.99 \approx 2$
Since, $n = \ \frac{Mass}{Atomic\ weight}$
We have,
$mass = n \times atomic\ weight = 2 \times 14 = 28$ g

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

Want more practice?
Practice Kinetic Theory MCQs