This is an incomplete question, here is a complete question.
What is the pH of a solution of 0.20 M HNO₂ containing 0.10 M NaNO₂ at 25°C, given Ka of HNO₂ is 4.5 × 10⁻⁴?
Answer : The pH of the solution is, 3.05
Explanation : Given,
for HNO₂ = 4.5 × 10⁻⁴
Concentration of
= 0.20 M
Concentration of
= 0.10 M
First we have to calculate the value of
.
The expression used for the calculation of
is,
![pK_a=-\log (K_a)](https://img.qammunity.org/2021/formulas/chemistry/college/9uvant4b2ccec1cq6kfs30ryx3kf2al1e0.png)
Now put the value of
in this expression, we get:
![pK_a=-\log (4.5* 10^(-4))](https://img.qammunity.org/2021/formulas/chemistry/high-school/an33w26iau39pjdm35wixgfj95m3kh1s72.png)
![pK_a=4-\log (4.5)](https://img.qammunity.org/2021/formulas/chemistry/high-school/i92bi2lxpk2gfy0duao603t0pqen68o2ak.png)
![pK_a=3.35](https://img.qammunity.org/2021/formulas/chemistry/high-school/7xs3qb0uri98jkbustz88bqs5kqdlps6dr.png)
Now we have to calculate the pH of the solution.
Using Henderson Hesselbach equation :
![pH=pK_a+\log ([Salt])/([Acid])](https://img.qammunity.org/2021/formulas/biology/college/z944fnahhldpjolfrvealc6q9baj5h69q3.png)
![pH=pK_a+\log ([NaNO_2])/([HNO_2])](https://img.qammunity.org/2021/formulas/chemistry/high-school/4exq7kvj7jc7wp3gxx4koq7emwby6cblpj.png)
Now put all the given values in this expression, we get:
![pH=3.35+\log (((0.10))/(0.20))](https://img.qammunity.org/2021/formulas/chemistry/high-school/xlobewq8vigh5k6h0zl5frydop3hn6stns.png)
![pH=3.05](https://img.qammunity.org/2021/formulas/chemistry/high-school/6s5ruhusjfccu1w5jhtv7chqonag4ngb1g.png)
Therefore, the pH of the solution is, 3.05