Q98 / 180 · NEET 2020 (Phase 1) · Physics

A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27oC. Its density is: R=8.3 JK Mol−1 K−1

  • Correct answer
    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

For an ideal gas sample \(\begin{aligned} & \frac{\mathrm{P}}{\rho}=\frac{\mathrm{RT}}{\mathrm{MW}} \\ & \rho=\frac{\mathrm{PMW}}{\mathrm{RT}}=\frac{249 \times 10^3 \times 2 \times 10^{-3}}{8.314 \times 300}=0.199 \\ & \rho=0.2 \mathrm{~kg} / \mathrm{m}^3 \end{aligned}\)

Hence, the correct answer is option: 'A'.

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