100 g of an ideal gas is kept in a cylinder of 416 L volume at $27^{\circ} \mathrm{C}$ under 1.5 bar pressure. The molar mass of the gas is ______ $\mathrm{g} \mathrm{mol}^{-1}$. (Nearest integer) (Given : $\mathrm{R}=0.083 \mathrm{~L}$ bar $\mathrm{K}^{-1} \mathrm{~mol}^{-1}$)

JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Some Basic Concepts of Chemistry

100 g of an ideal gas is kept in a cylinder of 416 L volume at

2 7^{\circ} C

under 1.5 bar pressure. The molar mass of the gas is ______

g mol^{- 1}

. (Nearest integer)
(Given :

R = 0.083 L

bar

K^{- 1} mol^{- 1}

)

Answer: 4

Using the ideal gas equation

P V = n R T

where

n = \frac{m}{M}

P V = \frac{m}{M} R T

1.5 \times 416 = \frac{100}{M} \times 0.083 \times 300

624 = \frac{2490}{M}

M = \frac{2490}{624} = 3.99 \approx 4

g/mol

JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Integer answer