One mole of N2O4(g) at 300 K is kept in a closed container under one atmospheric pressure. It is heated to 600 K, when N2O4 decomposes to NO2. If the resultant pressure is 2.4 atm. The degree of dissociation of N2O4 is_________%.

N2O4⇄20NO2 (initial moles)At equilibrium moles1−α 2α n1=1n2=1−α+2α=1+α n2=1+α P1V=n1RT1P2V=n2RT2 1.02.4=1×300(1+α)600α=0.2=20%

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One mole of N₂O₄(g) at 300 K is kept in a closed container under one atmospheric pressure. It is heated to 600 K, when N₂O₄ decomposes to NO₂. If the resultant pressure is 2.4 atm. The degree of dissociation of N₂O₄is_________%.

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answer is 20.

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Detailed Solution

$N_{2} O_{4} ⇄ \underset{0}{2} {NO}_{2}$ (initial moles)At equilibrium moles
$\begin{array}{llll} 1 - α 2 α n_{1} = 1 n_{2} = 1 - α + 2 α = 1 + α n_{2} = 1 + α \end{array} \frac{P_{1} V = n_{1} {RT}_{1}}{P_{2} V = n_{2} {RT}_{2}} \frac{1 .0}{2 .4} = \frac{1 \times 300}{(1 + α) 600} α = 0 .2 = 20 %$