MCQ
$2{x_{6(g)}} \rightleftharpoons 4{x_{3(g)}}$

a $20\ L$ box containing $X_6$ and $X_3$ at equilibrium at $1500\ K$  . $K_p = 4 \times 10^{18}\  atm$ . Assuming ${P_{{x_3}}} >  > {P_{{x_6}}}$ and total pressure is $10\ atm$ .The partial pressure of $X_6$ will be

  • $5 \times {10^{ - 8}}\ atm$
  • B
    $5 \times {10^{ - 6}}\ atm$
  • C
    $2 \times {10^{ - 8}}\ atm$
  • D
    None

Answer

Correct option: A.
$5 \times {10^{ - 8}}\ atm$
a
${{\text{K}}_{\text{p}}} = \left( {\frac{{{X_3}}}{{{X_6}}}} \right) = 4 \times {10^{18}} = \frac{{{{(10)}^4}}}{{{{({X_6})}^2}}}$

${\left( {{{\text{x}}_6}} \right)^2} = \frac{{{{10}^4}}}{{4 \times {{10}^{18}}}} = 25 \times {10^{ - 16}}$

$\mathrm{X}_{\mathrm{6}}=5 \times 10^{-8}\, \mathrm{atm}$

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