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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Ionic Equilibrium

NTA Abhyas 2020 · Chemistry · Ionic Equilibrium

In an aqueous solution, the ionization constants for carbonic acid...

In an aqueous solution, the ionization constants for carbonic acid are

K1=4.2×10−7{K}_{1} = \text{4.2} \times 1 {0}^{- 7} and K2=4.8×10−11{ K}_{2} = \text{4.8} \times 1 {0}^{- 11}

Select the correct statement for a saturated 0.034 M\text{0.034 M} solution of the carbonic acid:

Options

  1. AThe concentration of H+H^{+} is double that of CO32−{CO}_{3}^{2 -}.
  2. BThe concentration of CO32−{CO}_{3}^{2 -} is 0.034 M\text{0.034 M}.
  3. CThe concentration of CO32−{CO}_{3}^{2 -} is greater than that of HCO3−{HCO}_{3}^{-}.
  4. DThe concentration of H+H^{+} and HCO3−{HCO}_{3}^{-} are approximately equal.

Correct answer

D. The concentration of H+H^{+} and HCO3−{HCO}_{3}^{-} are approximately equal.

Step-by-step solution

{H2CO3⇌H++HCO3−;K1=4.2×10−7HCO3−⇌H++CO32−;K2=4.8×10−11\begin{cases}{H}_{2} {CO}_{3} & ⇌ & H^{+} & + & {HCO}_{3}^{-} \text{;} & {K}_{1} & = & \text{4.2} \times 1 {0}^{- 7} \\ {HCO}_{3}^{-} & ⇌ & H^{+} & + & {CO}_{3}^{2 -} \text{;} & {K}_{2} & = & \text{4.8} \times 1 {0}^{- 1 1}\end{cases}

∵K1≫K2∵ {K}_{1} ≫ {K}_{2}, so H2CO3{H}_{2} {CO}_{3} ionises more than HCO3−{HCO}_{3}^{-} and hence, contribution of H+H^{+} is mostly due to ionization of carbonic acid. Thus, the concentrations of H+H^{+} and HCO3−{HCO}_{3}^{-} are approximately equal.
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