A 20.0 L vessel initially contains 0.50 mol each of H2 and I2 gases. These substances react and finally reach an equilibrium condition. Calculate the equilibrium concentration of HI if Keq = 49 for the reaction H2 + I2 \overset{}{\rightleftharpoons} 2HI.

Engineering

Chemistry

Le Chateliers Principle

Question

A 20.0 L vessel initially contains 0.50 mol each of H₂ and I₂ gases. These substances react and finally reach an equilibrium condition. Calculate the equilibrium concentration of HI if K_eq = 49 for the reaction H₂ + I₂ $\overset{}{⇌}$ 2HI.

0.033 M

0.021 M

0.78 M

0.039 M

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H₂ + I₂ $\overset{}{⇌}$ 2HI
$\frac{1}{2}$ – x $\frac{1}{2}$ – x 2x

$\frac{{(2 x)}^{2}}{{(\frac{1}{2} - x)}^{2}}$ = 49
⇒ $\frac{2 x}{(0 .5 - x)}$ = 7 ⇒ 2x = 3.5 – 7x
x = $(\frac{3.5}{9})$
concentration of HI = $\frac{3.5}{9}$ × 2 × $\frac{1}{20} = \frac{35}{9} \Rightarrow$ 0.03888 ⇒ 0.039 M

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