Q22 / 160 · AP EAMCET 2020 (17 Sep Shift 2) · Chemistry

The density of oxygen gas at \(5 \mathrm{~atm}\) and \(127^{\circ} \mathrm{C}\) will be

  • A
    \(2.80 \mathrm{~g} / \mathrm{L}\)
  • Correct answer
    B
    \(4.88 \mathrm{~g} / \mathrm{L}\)
  • C
    \(1.49 \mathrm{~g} / \mathrm{L}\)
  • D
    \(5.60 \mathrm{~g} / \mathrm{L}\)

Solution

Density of a gas, \(\begin{aligned} d & =\frac{p M}{R T} \\ {[\because \quad p} & =\text { pressure }=5 \mathrm{~atm} \\ M & =\text { molar mass of } \mathrm{O}_2 \text { gas }=32 \mathrm{~g} \mathrm{~mol}^{-1} \\ R & =0.082 \mathrm{~L} \text { atm } \mathrm{mol}^{-1} \mathrm{~K}^{-1} \\ T & =400 \mathrm{~K}] \\ & =\frac{5 \times 32}{0.082 \times(273+127)} \\ & =4.878 \simeq 4.88 \mathrm{gL}^{-1} \end{aligned}\)

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

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