A)
NX3 dissociates as:
NX3 +H2O -----> NX3H+ + OH-
0.175 0 0
0.175-x x x
Kb = [NX3H+][OH-]/[NX3]
Kb = x*x/(c-x)
Assuming x can be ignored as compared to c
So, above expression becomes
Kb = x*x/(c)
so, x = sqrt (Kb*c)
x = sqrt ((1.5*10^-6)*0.175) = 5.123*10^-4
since c is much greater than x, our assumption is correct
so, x = 5.123*10^-4 M
So, [OH-] = x = 5.123*10^-4 M
use:
pOH = -log [OH-]
= -log (5.123*10^-4)
= 3.29
Answer: 3.29
B)
NX3 dissociates as:
NX3 +H2O -----> NX3H+ + OH-
0.325 0 0
0.325-x x x
Kb = [NX3H+][OH-]/[NX3]
Kb = x*x/(c-x)
Assuming x can be ignored as compared to c
So, above expression becomes
Kb = x*x/(c)
so, x = sqrt (Kb*c)
x = sqrt ((1.5*10^-6)*0.325) = 6.982*10^-4
since c is much greater than x, our assumption is correct
so, x = 6.982*10^-4 M
% dissociation = (x*100)/c
= 6.982*10^-4*100/0.325
= 0.2148 %
Answer: 0.215 %
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