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127.Hypochlorous acid, HOCI, is a weak acid in water. The K, expression for HOCI is shown above Write a chemical equation sho
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Answer #1

Ans 127

Part a

The balanced reaction of HOCl in water

HOCl (aq) + H2O (l) ⇌ H3O+ (aq) + ClO- (aq)    

Ka = 2.9 x 10-8

Part b

Concentration of HOCl = 0.175 M

The balanced reaction with ICE TABLE

HOCl (aq) + H2O (l) ⇌ H3O+ (aq) + ClO- (aq)

I 0.175 0 0

C -x +x +x

E 0.175-x x x

Equilibrium constant expression of the reaction

Ka = [H3O+] [ClO-] / [HOCl]

3.2 * 10-8 = (x) (x) / (0.175 - x)

x <<< 0.175

Then, 3.2 * 10-8 = (x^2) / (0.175 )

x = 7.48*10^-5 = [H3O+]

pH = - log[H3O+]

= - log (7.48*10^-5) = 4.13

Part c

The balanced reaction

NaOH(aq) + HOCl (l) = NaOCl(aq) + H2O (l)

Total ionic equation

Na+(aq) + OH-(aq) + HOCl (l) = Na+(aq) + OCl-(aq) + H2O (l)

Net ionic equation

OH-(aq) + HOCl (l) = OCl-(aq) + H2O (l)

Part d

(i)

Moles of NaOH = molarity of NaOH x volume of NaOH

= 0.435 Mol/L x 6.55 mL x 1L/1000 mL

= 0.00284925 mol

= 2.85*10^-3 mol

ii) moles of HOCl = molarity x volume

= 0.175 M x 20 mL x 1L/1000 mL

= 0.00350 mol

= 3.50*10^-3 mol

Moles of HOCl in excess = 3.50*10^-3 - 2.85*10^-3

= 6.50*10^-4 mol

Total volume V = 20 + 6.55 = 26.55 mL x 1L/1000 mL

= 2.655 *10^-2 L

Concentration of HOCl = 6.50*10^-4 mol / 2.655 *10^-2 L

= 2.45 * 10^-2 M

Moles of OCl- = moles of NaOH reacted = 2.85*10^-3 mol

Concentration of OCl- = 2.85*10^-3 mol/2.655 *10^-2 L

= 0.107 M

pH = pKa + log [ OCl-] / [HOCl]

= 7.49 + log (0.107/2.45 * 10^-2)

= 8.14

[H+] = 10^-pH = 10^-8.14

= 7.24 * 10^-9 M

iii)

[OH-] = (10^-14 / 7.24 * 10^-9)

= 1.38*10^-6 M

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