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Q. What volume of hydrogen gas, at $273\, K$ and $1$ atm. pressure will be consumed in obtaining $21.6 \,g$ of elemental boron (atomic mass $= 10.8$) from the reduction of boron trichloride by hydrogen ?

Some Basic Concepts of Chemistry

Solution:

$2BCl_{3} + 3H_{2} \to 2B + 6HCl$
or $BCl_{3} + \frac{3}{2} H_{2} \to B + 3HCl$
Now, since $10.8 \,gm$ boron requires hydrogen
$= \frac{3}{2} \times 22.4 \,L$ at N.T.P
hence $21.6 \,gm$ boron requires hydrogen
$\frac{3}{2} \times \frac{22.4}{10.8}\times21.6 = 67.2 \,L$ at N.T.P.