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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2020 · Physics · Kinetic Theory of Gases

A cylinder contains hydrogen gas at pressure of 249kPa and...

A cylinder contains hydrogen gas at pressure of 249kPa249kPa and temperature 27oC{27}^{o}C. Its density is: (R=8.3JKMol−1K−1)\left(R = 8 .3 JK{Mol}^{- 1}{K}^{- 1}\right)

Options

  1. A0.2kgm−30 .2 kg{m}^{- 3}
  2. B0.1kgm−30 .1 kg{m}^{- 3}
  3. C0.02kgm−30 .02 kg{m}^{- 3}
  4. D0.5kgm−30 .5 kg{m}^{- 3}

Correct answer

A. 0.2kgm−30 .2 kg{m}^{- 3}

Step-by-step solution

For an ideal gas sample Pρ=RTMWρ=PMWRT=249×103×2×10−38.314×300=0.199ρ=0.2 kg/m3\begin{aligned} & \frac{\mathrm{P}}{\rho}=\frac{\mathrm{RT}}{\mathrm{MW}} \\ & \rho=\frac{\mathrm{PMW}}{\mathrm{RT}}=\frac{249 \times 10^3 \times 2 \times 10^{-3}}{8.314 \times 300}=0.199 \\ & \rho=0.2 \mathrm{~kg} / \mathrm{m}^3 \end{aligned})$
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