The concentration of NO2 is 0.054 M and that of N2O4 is 0.003 M.
Equilibrium constant
The equilibrium constant shows the extent to which reactants are converted into products.
We have the reaction; N2O4⇌2NO2 and Kp = 4.5. Setting up the ICE table, we have;
N2O4 ⇌ 2NO2
I 0. 0550 0
C -x +x
E 0. 0550 - x x
Given that;
Kp = [NO2]^2/[N2O4]
4.5= (x)^2/0. 0550 - x
4.5(0. 0550 - x) = x^2
0.2475 - 4.5x = x^2
x^2 + 4.5x - 0.2475 = 0
x=0.054 M
The concentration of the required NO2 gas at equilibrium is 0.054 M and that of N2O4 is 0.003 M.
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