Calculate the $\mathrm{pH}$ of a buffer solution containing $0.01 \mathrm{M}$ salt and $0.004 \mathrm{M}$…

Calculate the $\mathrm{pH}$ of a buffer solution containing $0.01 \mathrm{M}$ salt and $0.004 \mathrm{M}$ weak acid. $\left(\mathrm{pK}_{\mathrm{a}}=4.762\right)$
  1. $4.36$
  2. $4.76$
  3. $5.16$
  4. $5.36$

Solution

$\begin{aligned} \mathrm{pH} & =\mathrm{pK}_{\mathrm{a}}+\log _{10} \frac{[\text { Salt }]}{[\text { Acid }]} \\ & =4.762+\log _{10} \frac{0.01}{0.004} \\ & =4.762+\left(\log _{10} 5-\log _{10} 2\right) \\ & =4.762+(0.699-0.3010) \\ & =4.762+0.398 \\ & =5.16\end{aligned}$

Asked in: MHT CET 2023 (10 May Shift 2)

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