Final answer:
The pH of the buffer solution is 3.38.
After the addition of 1.0 mL of 12 M HCl, the pH becomes 3.43.
Step-by-step explanation:
To calculate the pH of the buffer solution, you can use the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA])
In this case, the acid is HNO2 and the conjugate base is NO2-.
The pKa of HNO2 is 3.2.
So, plugging in the values:
pH = 3.2 + log(0.150/0.100)
= 3.2 + log(1.5)
= 3.2 + 0.18
= 3.38
After the addition of 1.0 mL of 12 M HCl, the new concentrations will be:
[HNO2] = 0.100 M - 1.0 mL x (12 M / 1000 mL)
= 0.100 M - 0.012 M
= 0.088 M
[NO2-] = 0.150 M
Using the Henderson-Hasselbalch equation again:
pH = pKa + log([NO2-]/[HNO2])
= 3.2 + log(0.150/0.088)
= 3.2 + log(1.70)
= 3.2 + 0.23
= 3.43