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Consider the equilibrium between PCl 5 , PCl 3 , and Cl 2 . PCl 5 (g) PCl 3 (g)

ID: 1088181 • Letter: C

Question

Consider the equilibrium between PCl5, PCl3, and Cl2.

PCl5(g) PCl3(g) + Cl2(g) K = 7.71×10-2 at 535 K

The reaction is allowed to reach equilibrium in a 17.6-L flask. At equilibrium, [PCl5] = 0.126 M, [PCl3] = 9.84×10-2 M and [Cl2] = 9.84×10-2 M.

(a) The equilibrium mixture is transferred to an 8.80-L flask. In which direction will the reaction proceed to reach equilibrium?

_________to the right to the left


(b) Calculate the new equilibrium concentrations that result when the equilibrium mixture is transferred to 8.80-L flask.

[PCl5] = M [PCl3] = M [Cl2] = M

Explanation / Answer


           pcL5(G)   <----->    pcL3(g)     +   Cl2(g)

initial   0.126 M               0.0984 M       0.0984 M

after changing

volume      0.126*17.6/8.8     0.0984*17.6/8.8 0.0984*17.6/8.8

            = 0.252 M            = 0.1968 M      = 0.1968 M

chnage     + x                    -x             -x

equilbrium 0.252+x                0.1968-x           0.1968-x


from equation

Kc = [PCl3][Cl2]/[pcL5]

0.0771 = ((0.1968-x)^2/(0.252+x))

x = 0.0454

at equilbrium,

[PCl5] = 0.252+0.0454 = 0.2974 M

[PCl3] = 0.1968-0.0454 = 0.1514 M

[Cl2] = 0.1968-0.0454 = 0.1514 M