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Ionic Equilibrum question

2018 · Q98
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Ionic Equilibrum question

2018 · Q98

NEETChemistryIonic EquilibrumMCQ+4 / −1
Following solutions were prepared by mixing different volumes of NaOH and HCl of different concentrations :

A. 60 mL M10{M \over {10}}10M​ HCl + 40 mL M10{M \over {10}}10M​ NaOH

B. 55 mL M10{M \over {10}}10M​ HCl + 45 mL M10{M \over {10}}10M​ NaOH

C. 75 mL M5{M \over {5}}5M​ HCl + 25 mL M5{M \over {5}}5M​ NaOH

D. 100 mL M10{M \over {10}}10M​ HCl + 100 mL M10{M \over {10}}10M​ NaOH

pH of which one of them will be equal to 1?
  1. A
    B
  2. B
    A
  3. C
    D
  4. D
    C
View written solutionFree

Correct answer: D

(A) 60 mL M10{M \over {10}}10M​ HCl + 40 mL M10{M \over {10}}10M​ NaOH

Mili. moles of HCl = 60 ×\times× 110{1 \over {10}}101​ = 6

Mili. moles of NaOH = 40 ×\times× 110{1 \over {10}}101​ = 4

Mili. moles of HCl remaining = 6 - 4 = 2

Total volume will be 60 + 40 = 100 mL

Concentration of [H+] = 2100{{2} \over {100}}1002​ = 2 ×\times× 10-2

∴\therefore∴ pH = 2 - log2 = 1.7

(B) 55 mL M10{M \over {10}}10M​ HCl + 45 mL M10{M \over {10}}10M​ NaOH

Mili. moles of HCl = 55 ×\times× 110{1 \over {10}}101​ = 5.5

Mili. moles of NaOH = 45 ×\times× 110{1 \over {10}}101​ = 4.5

Mili. moles of HCl remaining = 5.5 - 4.5 = 1

Concentration of [H+] = 1100{{1} \over {100}}1001​ = 10-2

∴\therefore∴ pH = 2

(C) 75 mL M5{M \over {5}}5M​ HCl + 25 mL M5{M \over {5}}5M​ NaOH

Mili. moles of HCl = 75 ×\times× 15{1 \over {5}}51​ = 15

Mili. moles of NaOH = 25 ×\times× 15{1 \over {5}}51​ = 5

Mili. moles of HCl remaining = 15 - 5 = 10

Total volume will be 75 + 25 = 100 mL

Concentration of [H+] = 10100{{10} \over {100}}10010​ = 10-1

∴\therefore∴ pH = 1

(D) 100 mL M10{M \over {10}}10M​ HCl + 100 mL M10{M \over {10}}10M​ NaOH

Mili. moles of HCl = 100 ×\times× 110{1 \over {10}}101​ = 10

Mili. moles of NaOH = 100 ×\times× 110{1 \over {10}}101​ = 10

Mili. moles of HCl remaining = 10 - 10 = 0

So, it is neutral solution.

∴\therefore∴ pH = 7

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