2)
use:
Kb = Kw/Ka
Kw is dissociation constant of water whose value is 1.0*10^-14 at 25 oC
Kb = (1.0*10^-14)/Ka
Kb = (1.0*10^-14)/1.8*10^-5
Kb = 5.556*10^-10
C2H3O2- dissociates as
C2H3O2- + H2O -----> HC2H3O2 + OH-
0.1 0 0
0.1-x x x
Kb = [HC2H3O2][OH-]/[C2H3O2-]
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 ((5.556*10^-10)*0.1) = 7.454*10^-6
since c is much greater than x, our assumption is correct
so, x = 7.454*10^-6 M
use:
pOH = -log [OH-]
= -log (7.454*10^-6)
= 5.1276
use:
PH = 14 - pOH
= 14 - 5.1276
= 8.8724
Answer: 8.87
3)
Ka = 1.8*10^-5
pKa = - log (Ka)
= - log(1.8*10^-5)
= 4.745
use:
pH = pKa + log {[conjugate base]/[acid]}
= 4.745+ log {0.5/0.5}
= 4.745
Answer: 4.75
4)
use dilution formula
M1*V1 = M2*V2
1---> is for stock solution
2---> is for diluted solution
Given:
M1 = 1 M
V1 = 2 mL
V2 = 50 mL
use:
M1*V1 = M2*V2
M2 = (M1*V1)/V2
M2 = (1*2)/50
M2 = 0.040 M
Answer: 0.040 M
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