Answer:
-6.15
Explanations
The formula for calculating the pH of a buffer is expressed as
![pH=pka+log([salt])/([acid])^](https://img.qammunity.org/2023/formulas/chemistry/college/zknj49srzfwgridi6uaemfed00fakz9cbp.png)
pka of the hydrochloric acid = -6.3
Calclate the moles of the HCl and sodium acetate
![\begin{gathered} moles=molarity* volume \\ moles\text{ of HCl=0.676M}*0.275 \\ moles\text{ of HCl=0.1859moles} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/7qjtjlseoekmtipq16l5sdzec5m4x9q1tg.png)
Calculate the moles of sodium acetate (salt)
![\begin{gathered} moles\text{ of sodium acetate=0.525M}*0.500 \\ moles\text{ of sodium acetate=0.2625moles} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/owt9l2r2691y6tmvu6iij8ec0mniu0oa32.png)
Substitute the given parameters into the formula
![\begin{gathered} pH=pka+log\frac{[0.2625\text{/v}]}{[0.1859\text{/v}]} \\ pH=-6.3+log1.4121 \\ pH=-6.3+0.1498 \\ pH=-6.1502 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/onvg9veewer24beka9rradlxswy24lqb2b.png)
Hence the pH of this buffer is approximately -6.15