MCQ
In Duma's method for estimation of nitrogen, $0.25\,g$ of an organic compound gave $40\,mL$ of nitrogen collected at $300\,K$ temperature and $725\,mm$ pressure. If the aqueous tension at $300\,K$ is $25\,mm$ , the percentage of nitrogen in the compound is
  • A
    $18.20$
  • $16.76$
  • C
    $15.76$
  • D
    $17.36$

Answer

Correct option: B.
$16.76$
b
Given:

$\mathrm{m}=0.25 \mathrm{g}, \mathrm{V}_{1}=40 \mathrm{ml}, \mathrm{T}_{1}=300 \mathrm{K}, \mathrm{P}_{1}=725 \mathrm{mm}-25 \mathrm{mm}=700 \mathrm{mm}$

$\mathrm{P}_{0}=760 \mathrm{mm}, \mathrm{T}_{0}=273 \mathrm{K}, \mathrm{V}_{0}=?$

$\mathrm{V}_{0}=\frac{\mathrm{P}_{1} \mathrm{V}_{1}}{\mathrm{T}_{1}} \times \frac{\mathrm{T}_{\mathrm{o}}}{\mathrm{P}_{0}}=\frac{700 \mathrm{mm} \times 40 \mathrm{ml}}{300 \mathrm{K}} \times \frac{273 \mathrm{K}}{760 \mathrm{mm}}=33.53 \mathrm{ml}$

At STP, 22400 ml of nitrogen occupies 22400 ml.

22400mL OF $\mathrm{N}_{2}$ at STP weighs $=28 \mathrm{gm}$

Hence the mass of nitrogen which corresponds to $33.53 \mathrm{ml}$ is $\frac{28 \mathrm{g} \times 33.53 \mathrm{ml}}{22400 \mathrm{ml}}=0.0419 \mathrm{g}$.

The percentage of nitrogen is $0.0419 \mathrm{g} \times \frac{100}{0.25 \mathrm{g}}=16.76 \%$

Hence, the correct option is B.

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