In: Chemistry
The equilibrium constant, Kc, for the following reaction is 10.5 at 350 K.
2CH2Cl2(g) ------CH4(g) + CCl4(g)
Calculate the equilibrium concentrations of reactant and products when 0.321 moles of CH2Cl2 are introduced into a 1.00 L vessel at 350 K.
[CH2Cl2] = ------------M
[CH4] = ------- M
[CCl4] = ------ M
2CH2Cl2(g) ------CH4(g) + CCl4(g)
I 0.321 0 0
C -2x +x +x
E 0.321-2x +x +x
[CH2Cl2] = 0.321-2x/1 = 0.321-2x
[CH4] = x/1 = x
[CCl4] = x/1 = x
Kc = [CH4][CCl4]/[CH2Cl2]^2
10.5 = x*x/(0.321-2x)^2
10.5 = (x/0.321-2x)^2
3.24 = x/0.321-2x
3.24*(0.321-2x) = x
x= 0.139
[CH2Cl2] = 0.321-2x = 0.321-2*0.139 = 0.043M
[CH4] = x = 0.139 M
[CCl4] = x = 0.139 M