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A solution is made by dissolving 37.9 g of Ba(NO₂)₂ in 500.0 mL of water. What is the value of \( K_b \) for \( \text{NO}_2^- \)? The \( K_a \) of \( \text{HNO}_2 \) is \( 4.5 \times 10^{-4} \).

Answer :

The value of KB for NO₂⁻ is 2.2 × 10⁻¹¹.

The first step is to calculate the molarity of the solution. We can do this by dividing the mass of Ba(NO₂)₂ by its molar mass and by the volume of the solution.

molarity = (37.9 g / 253.3 g/mol) / 0.500 L = 2.89 M

The second step is to write the equilibrium equation for the reaction of NO₂⁻ with water.

NO₂⁻(aq) + H₂O(l) ⇌ OH⁻(aq) + HNO₂(aq)

The third step is to use the Ka of HNO₂ to calculate the value of Kb for NO₂⁻.

Kw = Ka * Kb

1.0 × 10⁻¹⁴ = 4.5 × 10⁻⁴ * Kb

Kb = 1.0 × 10⁻¹⁴ / 4.5 × 10⁻⁴ = 2.2 × 10⁻¹¹

Therefore, the value of KB for NO₂⁻ is 2.2 × 10⁻¹¹.

To know more about molarity refer here :

https://brainly.com/question/34098502#

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