Predict the direction in which the equilibrium will lie for the reaction H2SO3(aq) + HCO3- (aq) <====> HSO3-(aq) + H2CO3(aq). Given: Ka1(H2SO3) = 1 x 10-2; Ka1(H2CO3) = 4.2 x 10-7

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Explanation:

As we know that [tex]H_{2}SO_{3}[/tex] is a strong acid as compared to carbonic acid. As a result, sulfurous acid ([tex]H_{2}SO_{3}[/tex]) is a stronger acid and it will over come carbonic acid.

In a neutralization reaction, the equilibrium will favor side of weaker acids and bases in neutralization.

As [tex]K_{a}[/tex] of [tex]H_{2}SO_{3}[/tex] is greater than the [tex]K_{a}[/tex] value of [tex]H_{2}CO_{3}[/tex].

Thus, we can conclude that the reaction equilibrium will move towards the right hand side.

The equilibrium of the reaction H₂SO₃(aq) + HCO₃⁻(aq) ⇄ HSO₃⁻(aq) + H₂CO₃(aq) will lie to the right side, to the formation of products.

The reaction is the following:

H₂SO₃(aq) + HCO₃⁻(aq) ⇄ HSO₃⁻(aq) + H₂CO₃(aq)    (1)

The first acid constant (H₂SO₃) is given by:

[tex] Ka_{1} = \frac{[HSO_{3}^{-}][H_{2}CO_{3}]}{[HCO_{3}^{-}][H_{2}SO_{3}]} = 1.0\cdot 10^{-2} [/tex]    (2)

This acid constant is related to the decomposition of H₂SO₃ to produce HSO₃⁻ and H₂CO₃.

From the second acid constant (H₂CO₃), we have:

[tex] Ka_{2} = \frac{[HCO_{3}^{-}][H_{2}SO_{3}]}{[HSO_{3}^{-}][H_{2}CO_{3}]} = 4.2 \cdot 10^{-7} [/tex]   (3)

This second acid constant is for the decomposition of H₂CO₃ to produce H₂SO₃ and HCO₃⁻.  

Since Ka₁ is bigger than Ka₂, the equilibrium of reaction (1) will shift to the right, to the production of HSO₃⁻ and H₂CO₃ (equation 2).

Therefore, the equilibrium will lie to the right side of the reaction.      

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