In: Chemistry
1. An 0.865-mol sample of PCl5 is placed in a 500.-mL reaction vessel. What is the concentration of each substance when the reaction PCl5(g) PCl3(g) + Cl2(g) has reached equilibrium at 250 deg Celcius (when Kc = 1.80)?
PCl5(g) ------------>PCl3(g) + Cl2(g)
I 0.865 0 0
C -x +x +x
E 0.865-x +x +x
[PCl5] = 0.865-x/0.5
[PCl3] = x/0.5
[Cl2] = x/0.5
Kc = [PCl3][Cl2]/[PCl5]
1.8 = x*x/0.5*(0.865-x)
1.8*0.5*(0.865-x) = x^2
x = 0.54
[PCl5] = 0.865-x/0.5 = 0.865-0.54/0.5 = 0.325/0.5 = 0.65M
[PCl3] = x/0.5 = 0.54/0.5 = 1.08M
[Cl2] = x/0.5 = 0.54/0.5 = 1.08M