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Multiple Choice
What is the pH of a 0.010 M HNO₂ solution, given that the acid dissociation constant (Ka) for HNO₂ is 4.0 x 10⁻⁴?
A
2.00
B
3.00
C
3.35
D
4.00
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Verified step by step guidance
1
Start by writing the chemical equation for the dissociation of nitrous acid (HNO₂) in water: HNO₂ ⇌ H⁺ + NO₂⁻.
Use the expression for the acid dissociation constant (Ka) to set up the equilibrium expression: Ka = [H⁺][NO₂⁻]/[HNO₂].
Assume that the initial concentration of HNO₂ is 0.010 M and that the change in concentration due to dissociation is 'x'. Therefore, at equilibrium, [H⁺] = x, [NO₂⁻] = x, and [HNO₂] = 0.010 - x.
Substitute these equilibrium concentrations into the Ka expression: 4.0 x 10⁻⁴ = (x)(x)/(0.010 - x).
Solve the quadratic equation for 'x', which represents the concentration of H⁺ ions. Once 'x' is found, calculate the pH using the formula: pH = -log₁₀[H⁺].