Phosphorus pentachloride decomposes according to the chemical equation. A 0.457 mol sample of PCl5(g) is injected...

Phosphorus pentachloride decomposes according to the chemical equation.

A 0.457 mol sample of PCl5(g) is injected into an empty 4.85 L reaction vessel held at 250

Expert Solution

PCl5(g) <==> PCl3(g) + Cl2(g) ..... Kc = 1.80
I. 0.09422M ........... 0 .............0
c. -x ......................+x ............+x
e. 0.09422-x ............x ..............x

Making the 5% approximation where 0.09422-x = 0.09422 ...
Kc = [PCl3] [Cl2] / [PCl5]
Kc = x^2 / 0.09422 = 1.80
x = 4.11

The approximation isn't valid since the value for x is far too large. You must then use the quadratic equation to solve for x.

Kc = x^2 / (0.09422-x) = 1.80

x²+180x-0.169596=0

X=9.388x10^-4

x = 9.388x10^-4 ... to three significant digits.
[PCl] = [Cl2] = 9.388x10^-4 M

queen_honey_blossom answered 7 hours ago

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