Final answer:
The pH of a solution that is 0.100 M HNO2 and 1.00 M NaNO2 is calculated using the Henderson-Hasselbalch equation, which involves the pKa of nitrous acid and the ratio of the conjugate base to acid concentration. Assuming a pKa of 3.25 for HNO2, the pH is determined to be 4.25.
Step-by-step explanation:
To calculate the pH of a solution that is 0.100 M HNO2 and 1.00 M NaNO2, we must recognize that this is a buffer system consisting of a weak acid (HNO2) and its conjugate base (NO2- from NaNO2).
For such a buffer system, we can use the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA])
Where pKa is the acid dissociation constant for HNO2, [A-] is the concentration of the conjugate base, and [HA] is the concentration of the acid.
We need to find the pKa for HNO2. The dissociation reaction for HNO2 is:
HNO2 (aq) ← H+ (aq) + NO2- (aq)
Let's assume the pKa for nitrous acid (HNO2) is around 3.25 (the exact value can vary slightly, but this is a commonly cited rough estimate).
Now, using the Henderson-Hasselbalch equation:
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- pH = 3.25 + log(1.00 / 0.100)
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- pH = 3.25 + log(10)
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- pH = 3.25 + 1
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- pH = 4.25
Therefore, the pH of the solution is 4.25.