MCQ
$10\ gm$ of a piece of marble $(CaCO_3)$ was put into excess of $dilute HCl$ acid. When the reaction was complete, $1120\ ml$ of $CO_2$ was obtained at $STP$. The percentage of pure $CaCO_3$ in the marble is ............. $\%$
  • A
    $10$
  • B
    $25$
  • $50$
  • D
    $75$

Answer

Correct option: C.
$50$
c
$\mathrm{CaCO}_{3}+2 \mathrm{HCl} \rightarrow \mathrm{CaCl}_{2}+\mathrm{H}_{2} \mathrm{O}+\mathrm{CO}_{2}$

$100 \mathrm{g}$ or one mole $22400 \mathrm{ml}$

$100$ $g$ of $\mathrm{CaCO}_{3}$ gives $22400 \mathrm{ml}$ of carbon dioxide.

$10 \mathrm{g}$ of $\mathrm{CaCO}_{3}$ gives $=\frac{22400}{100} \times 10=2240 \mathrm{ml}$ of carbon dioxide.

If the metal is $100 \%$ pure, $2240$ ml of carbon dioxide is produced.

$1120 \mathrm{ml}$ of carbon dioxide is produced in this case.

So the $\%$ purity $=\frac{100}{2240} \times 1120=50 \%$

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