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Vant Hoff's Equation and Effect of Temperature on Equilibrium Constant

In the follow...

Question

In the following equilibrium $N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$ $N O_{2} (g)$ is 50% of the total volume. Hence degree of dissociation and van't Hoff factor (i) respectively are:

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Solution

$N_{2} O_{4} ⇌ 2 {N O}_{2}$
$1 - x$ $2 x$
$x = 50$ % $= 0.5 =$ degree of dissociation
$i = 1 - x + 2 x / 1 = x + 1 / 1 = 1.5$

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