A cylinder contains hydrogen gas at pressure 249 kPa and temperature 27 ° C Its density is: (R = 8.3 J mol-1 K-1) (a) 0.2 kg/m3 (b) 0.1 kg/m3 (c) 0.02 kg/m3 (d) 0.5 kg/m3

Answer: (a). ρ = PM/RT with M = 2 × 10⁻³ kg/mol, T = 300 K. ρ = 249 × 10³ × 2 × 10⁻³8.3 × 300 = (498)/(2490) = 0.2 kg/m³. So the answer is (a) 0.2 kg/m³.

A cylinder contains hydrogen gas at pressure 249 kPa and temperature… | NEET 2020 (Phase 1)

Q66NEET 2020 · PHASE 1Medium

Gas Laws & Ideal Gas Equation

A cylinder contains hydrogen gas at pressure 249 kPa and temperature 27 $^\circ$ C

Its density is: (R = 8.3 J mol-1 K-1)

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Answer: (a)

$\rho = \frac{PM}{RT}$ with $M = 2 \times 10^{-3}\text{ kg/mol}$ , $T = 300\text{ K}$ .
$\rho = \frac{249 \times 10^3 \times 2 \times 10^{-3}}{8.3 \times 300} = \frac{498}{2490} = 0.2\text{ kg/m}^3$ .
So the answer is (a) 0.2 kg/m³.

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