Q34 / 225 · JEE Main 2003 · Chemistry

What volume of hydrogen gas, at $273 \mathrm{~K}$ and $1 \mathrm{~atm}$, pressure will be consumed in obtaining $21.6 \mathrm{~g}$ of elemental boron (atomic mass $=10.8$ ) from the reducti on of boron trichloride by hydrogen?

  • Correct answer
    A
    $67.2 \mathrm{~L}$
  • B
    $44.8 \mathrm{~L}$
  • C
    $22.4 \mathrm{~L}$
  • D
    $89.6 \mathrm{~L}$

Solution

No. of moles of boron $=\frac{21.6}{10.8}=2$ for $\mathrm{BCl}_3$ $\therefore 1$ mole of Boron $=3$ mole of $\mathrm{Cl}$ $\therefore 2$ mole of Boron $=6$ mole of $\mathrm{Cl}$ $\mathrm{H}_2+\mathrm{Cl}_2 \rightarrow 2 \mathrm{HCI}$ $\Rightarrow 3$ moles of Hydrogen is required $=3 \times 22.4=67.2$ Litre

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

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