Hydrogen iodide, HI, decomposes at moderate temperature according to the equation 2HI (g) H2 (g) + I2 (g) When 4.00 mol HI was placed in a 5.00-L vessel at 458C, the equilibrium mixture was found to contain 0.442 mol I2. What is the value of Kc for the decomposition of HI at this temperature?
concentration of HI = 4.00 / 5.00 = 0.800 M
2 HI (g) <------------> H2 (g) + I2 (g)
0.800 0 0
0.80 - 2x x x
At equilibrium :
moles of I2 = 0.442 mol
concentration of I2 = 0.442 / 5 = 0.0884 M
[H2] = x = 0.0884 M
[HI] = 0.623 M
Kc = [H2] [I2] / [HI]^2
= (0.0884)^2 / (0.6232)^2
Kc = 0.0201
value of Kc = 0.0201
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