Phosphorus pentachloride decomposes according to the chemical equation PCL5(g)<--->PCl3(g)+Cl2(g). Kc=1.80 at 250 C. A 0.220 mol...

Phosphorus pentachloride decomposes according to the chemical equation PCL5(g)<--->PCl3(g)+Cl2(g). Kc=1.80 at 250 C. A 0.220 mol sample of PCl5(g) is injected into an empty 3.00 L reaction vessel held at 250 �C. Calculate the concentrations of PCl5(g) and PCl3(g) at equilibrium.

Expert Solution

PCl5 molarity = 0.220 / 3 =0.0733

PCl5 <-------------------------> PCl3 + Cl2

0.0733 0 0 ---------------------> initial

-x +x +x -----------------> changed

0.0733-x x x ---------------------> equilibrium

Kc = [PCl3] [Cl2] / [PCl5]

1.80 = x^2 / 0.0733 -x

x^2 + 1.80 x - 0.132 = 0

x = 0.0705

equilibrium concentrations :

[PCl5] = 0.0733 -0.07 = 0.0033 M

[PCl3] = x = 0.0705 M

queen_honey_blossom answered 4 months ago

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