11)
a) HBrO(aq) + H2O(l) <-----> H3O+(aq) + BrO-(aq)
Initial 0.14 M - -
change -x +x +x
equil 0.14-x x x
Ka = [H3O+][BrO-]/[HBrO]
2.5*10^-9 = (x*x)/(0.14-x)
x = 1.87*10^-5
at equilibrium,
[H3O+] = x = 1.87*10^-5 M
pH = -log[H3O+]
pH = -lOg(1.87*10^-5)
pH = 4.73
b) BrO-(aq) + H2O(l) <----> HBrO(aq) +
OH-(aq)
Kh = Kw/Ka
Kh = equilibrium constant = (1*10^-14)/(2.5*10^-9) = 4*10^-6
Kh = 4*10^-6
c) No of mol of HBrO reacted = 40*0.14 = 5.6 mmol
No of mol of NaOH added = 5*0.56 = 2.8 mmol
pH of acidic buffer = pka + log(NaBrO/HBrO)
pka of HBrO = -logKa = -log(2.5*10^-9) = 8.6
pH = 8.6+log(2.8/(5.6-2.8))
pH = 8.6
d)
No of mol of HBrO reacted = 50*0.2 = 10 mmol
No of mol of NaBrO added = ? mmol
pH of acidic buffer = pka + log(NaBrO/HBrO)
pka of HBrO = -logKa = -log(2.5*10^-9) = 8.6
8.6 = 8.6+log(x/(10))
x = 10 mmol
mass of NaBrO added = 10*10^-3*103 = 1.03 g
e) from equation,
1 mol H+ = 1 mol Cl- = 1 mol HOCl
concentration f HOCl = 0.065 M
concentration f H+ = 0.065 M
pH = -log[H+]
= -log0.065
= 1.19
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