Consider the reaction for the decomposition of hydrogen disulfide:
2H2S(g)⇌2H2(g)+S2(g), Kc = 1.67×10−7 at 800∘C
A 0.500 L reaction vessel initially contains 0.175 mol of H2S and 6.25×10−2 mol of H2 at 800∘C.
Find the equilibrium concentration of [S2].
Volume of the vessel = 0.500 L
Initial concentration of H2S (g) = 0.175/0.500 = 0.35 M
Initial concentration of H2 (g) = 6.25×10−2 /0.500 = 0.125 M
2H2S(g) 2H2(g) + S2(g)
Initial concentration 0.35 0.125 0
Change in concentration - 2X 2X X
Equilibrium concentration (0.35 - 2X) (0.125+2X) X
Equilibrium constant,
Kc = [H2]2[S2]/[H2S]2
or, 1.67 x 10-7 = (0.125+2X)2(X)/(0.35 - 2X)2
or, 1.67 x 10-7 = (0.125)2(X)/(0.35 )2 [(0.35 - 2X) 0.35 as 2X << 0.35 and (0.125+2X) 0.125 as 2X << 0.125]
or, 0.015625X = 0.0000000204575
or, X = 1.31 x 10-6 M
Therefore, the equilibrium concentration of S2(g), [S2] = 1.31 x 10-6 M
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