Q2 / 60 · KVPY 2015 (SA) · Chemistry

When $262 \mathrm{~g}$ of xenon (atomic mass $=131$ ) reacted completely with $152 \mathrm{~g}$ of fluorine (atomic mass $=19$ ), a mixture of $\mathrm{XeF}_{2}$ and $\mathrm{XeF}_{6}$ was produced. The molar ratio $\mathrm{XeF}_{2}: \mathrm{XeF}_{6}$ is :

  • A
    1: 2
  • B
    1: 4
  • Correct answer
    C
    $\mathrm1: 1$
  • D
    1: 3

Solution

$\mathrm{Xe}+\mathrm{F}_{2} \rightarrow \mathrm{XeF}_{2}+\mathrm{XeF}_{6}$ $\frac{262}{131} \quad \frac{152}{38}$ a mole $\mathrm{b}$ mole $=2$ mole 4 mole Let a mole $\mathrm{XeF}_{2}$ form and $\mathrm{b}$ mole $\mathrm{XeF}_{6}$ form Apply POAC $$ \begin{array}{ll}\mathrm{a} \times 1+\mathrm{b} \times 1=2 \\ 2 \mathrm{a}+6 \mathrm{~b}=8\end{array} $$ After solving eq. $(1) \&(2)$ $\mathrm{a}=1$ mole $\& \mathrm{~b}=1 \mathrm{~mole}$

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

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