The value of Kc for the reaction between water vapor and dichlorine monoxide is 0.0900 at 25C. Determine the equilibrium concentrations of all three compounds if the starting concentrations of both reactants are 0.00418 M, with [HOCl]0 = 0.000 M.
H2O (g) + Cl2O (g) -----> 2 HOCl (g
H2O =
Cl2O =
HOCl =
H2O(g) + Cl2O(g) -------> 2HOCl(g)
initial concerntration 0.0041 0.0041 0
equillibrium concerntration 0.0041 - x 0.0041 - x 2x
AS we know that
KC = [HOCL]2 / [H2O] [CL2] = [2x]2 / (0.0041 - x )2
( removing square on R.H.S and placing square root on L.H.S)
KC = 2x / 0.0041 - x
0.09 = 2x / 0.0041 - x
0.3 (0.0041 - x ) = 2x ---> 0.00123 - 0.3x= 2x ---> 0.00123 = 2.3x
x= 0.00053
hence the concerntration of HOCl = 2 x = 2* 0.00053 = 0.00106 M
and that of H2O(g) and Cl2O(g) = 0.0041 - x = 0.0041- 0.00053 = 0.00357 M
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