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Question: Answered & Verified by Expert
A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27oC. Its density is: R=8.3 JK Mol1 K1
PhysicsKinetic Theory of GasesNEETNEET 2020 (Phase 1)
Options:
  • A 0.2 kg m-3
  • B 0.1 kg m-3
  • C 0.02 kg m-3
  • D 0.5 kg m-3
Solution:
2639 Upvotes Verified Answer
The correct answer is: 0.2 kg m-3
For an ideal gas sample
\(\begin{aligned}
& \frac{\mathrm{P}}{\rho}=\frac{\mathrm{RT}}{\mathrm{MW}} \\
& \rho=\frac{\mathrm{PMW}}{\mathrm{RT}}=\frac{249 \times 10^3 \times 2 \times 10^{-3}}{8.314 \times 300}=0.199 \\
& \rho=0.2 \mathrm{~kg} / \mathrm{m}^3
\end{aligned}\)

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