NCERT Class XI Chemistry Equilibrium Solutions

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Question : 66
Total: 73
Calculate the pH of the resultant mixtures :
(a) 10 mL of 0.2 M Ca(OH)2 + 25 mL of 0.1 M HCl
(b) 10 mL of 0.01 M H2SO4 + 10 mL of 0.01 M Ca(OH)2
(c) 10 mL of 0.1 M H2SO4 + 10 mL of 0.1 M KOH
Solution:  
(a) 10 mL of 0.2 M Ca(OH)2 = 10 × 0.2 milli
= 2 millimoles of Ca(OH)2
25 mL of 0.1 M HCl = 25 × 0.1 millimoles = 2.5 millimoles of HCl
Ca(OH)2+2HClCaCl2+2H2O
1 millimole of Ca(OH)2 reacts with 2 millimoles of HCl
∴ 2.5 millimoles of HCl will react with 1.25 millimoles of Ca(OH)2
Ca(OH)2 left = 2 – 1.25 = 0.75 millimoles (HCl is the limiting reactant.)
Total volume of the solution = 10 + 25 mL = 35 mL
∴ Molarity of Ca(OH)2 in the mixture solution =
0.75
35
M = 0.0214 M
[OH] = 2 × 0.0214 M = 0.0428 M = 4.28 × 102 M
pOH = –log(4.28 × 102) = 2 – 0.6314 = 1.3686 ≈ 1.37
∴ pH = 14 – 1.37 = 12.63
(b) 10 mL of 0.01 M H2SO4 = 10 × 0.01 millimole = 0.1 millimole
10 mL of 0.01 M Ca(OH)2 = 10 × 0.01 millimole = 0.1 millimole
Ca(OH)2+H2SO4CaSO4+2H2O
1 mole of Ca(OH)2 reacts with 1 mole of H2SO4
∴ 0.1 millimole of Ca(OH)2 will react completely with 0.1 millimole of H2SO4. hence, solution will be neutral with pH = 7.0
(c) 10 mL of 0.1 M H2SO4 = 1 millimole
10 mL of 0.1 M KOH = 1 millimole
2KOH+H2SO4K2SO4+2H2O
1 millimole of KOH will react with 0.5 millimole of H2SO4
H2SO4 left = 1 – 0.5 = 0.5 millimole
Volume of reaction mixture = 10 + 10 = 20 mL
∴ Molarity of H2SO4 in the mixture solution =
0.5
20
= 2.5 × 102M
[H+] = 2 × 2.5 × 102 = 5 × 102
pH = –log(5 × 102) = 2 – 0.699 = 1.3
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