a)HCN dissociates as:
HCN -----> H+ + CN-
0.112 0 0
0.112-x x x
Ka = [H+][CN-]/[HCN]
Ka = x*x/(c-x)
Assuming x can be ignored as compared to c
So, above expression becomes
Ka = x*x/(c)
so, x = sqrt (Ka*c)
x = sqrt ((4.9*10^-10)*0.112) = 7.408*10^-6
since c is much greater than x, our assumption is correct
so, x = 7.408*10^-6 M
% dissociation = (x*100)/c
= 7.408*10^-6*100/0.112
= 6.614*10^-3 %
Answer: 6.61*10^-3 %
b)
HCN dissociates as:
HCN -----> H+ + CN-
0.39 0 0
0.39-x x x
Ka = [H+][CN-]/[HCN]
Ka = x*x/(c-x)
Assuming x can be ignored as compared to c
So, above expression becomes
Ka = x*x/(c)
so, x = sqrt (Ka*c)
x = sqrt ((4.9*10^-10)*0.39) = 1.382*10^-5
since c is much greater than x, our assumption is correct
so, x = 1.382*10^-5 M
% dissociation = (x*100)/c
= 1.382*10^-5*100/0.39
= 3.545*10^-3 %
Answer: 3.55*10^-3 %
c)
HCN dissociates as:
HCN -----> H+ + CN-
0.628 0 0
0.628-x x x
Ka = [H+][CN-]/[HCN]
Ka = x*x/(c-x)
Assuming x can be ignored as compared to c
So, above expression becomes
Ka = x*x/(c)
so, x = sqrt (Ka*c)
x = sqrt ((4.9*10^-10)*0.628) = 1.754*10^-5
since c is much greater than x, our assumption is correct
so, x = 1.754*10^-5 M
% dissociation = (x*100)/c
= 1.754*10^-5*100/0.628
= 2.793*10^-3 %
Answer: 2.79*10^-3 %
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