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  4. Gaseous N2O4 dissociates into gaseous NO2 according to the reaction N 2 O 4( g ) leftharpoons 2 NO 2( g ) At 300 K and 1 atm pressure, the degree of dissociation of N2O4 is 0.2. If one mole of N2O4 gas is contained in a vessel, then the density of the equilibrium mixture is :

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Q. Gaseous $N_2O_4$ dissociates into gaseous $NO_2$ according to the reaction
$N _{2} O _{4}( g ) \rightleftharpoons 2 NO _{2}( g )$
At $300\, K$ and $1\, atm$ pressure, the degree of dissociation of $N_2O_4$ is $0.2.$ If one mole of $N_2O_4$ gas is contained in a vessel, then the density of the equilibrium mixture is :

JEE MainJEE Main 2015Equilibrium

Solution:

$P V=n R T \Rightarrow 1 \times V=1 \times 0.0821 \times 300$

$\Rightarrow V=24.63$

$d=\frac{\text { mass of mixture }}{\text { vol }}$

$=\frac{0.8 \times 92+0.4 \times 45}{24.63}=3.11\, gm /$ lit