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Characteristics of Equilibrium Constant

Density of eq...

Question

Density of equilibrium mixture of $N_{2} O_{4}$ and $N O_{2}$ at 1 atm and 384 K is 1.84 g $d m^{- 3}$ . Calculate the equilibrium constant of the given reaction.
$N_{2} O_{4} ⇌ 2 N O_{2}$

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Solution

$P M = d R T$
$1 \times M = 1.84 \times 0.0821 \times 384$
$M = 58$ g
$N_{2} O_{4} \to 2 N O_{2}$
Let $N_{2} O_{4}$ br x moles and $N O_{2}$ be Y moles
$x (92) + y (46) = 58$
also $x + y = 1$
$x = 0.26$
$y = 0.74$
$N_{2} O_{4} \to 2 N O_{2}$
a-b 2b
2b = 0.74
b = 0.37
a = 0.63
$α = 0.587$

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