In: Chemistry
Calculate the equilibrium concentrations of N2O4 and NO2 at 25 degrees celcius in a vessel that contains an initial N2O4 concentration of 0.0500M. The equilibrium constant Kc for the reaction N2O4 (g) (equilibrium arrows here) 2NO2(g) is 4.64 x 10-3 at 25 degrees Celcius.
N2O4 <----------------> 2 NO2
0.05 0 -----------------> initial
0.05-x 2x
Kc = [NO2]^2/[N2O4]
4.64 x 10^-3 = (2x)^2 / (0.05-x)
4x^2 + 4.64 x 10^-3 x - 2.32 x 10^-4 = 0
x = 0.00706
equilibrium concentrations [N2O4] = 0.05 - x = 0.05 - 0.00706
equilibrium concentrations [N2O4] = 0.043 M
equilibrium concentrations of [NO2 ] = 2x = 2 x 0.00706
= 0.014 M