The pH of an aqueous solution containing 1 M benzoic acid ( pK_ a=4.20) and 1 M sodium benzoate is 4.5. The volume of benzoic acid solution in 300 mL of this buffer solution is _________ mL. (given : log 2=0.3)

\ccc 1M Benzoic acid +1 M Sodium Benzoate \ ( V_ a ml) ( V_ s ml) \ Millimole V_ a x 1 V_ s x 1 \ pH=4.5 \ pH= pka+log frac[ salt ][ acid ] \ 4.5=4.2+log (frac V_ s V_ a) \ frac V_ s V_ a=2 ..... (1)\ V_ s+ V_ a=300 ..... (2)\ V_ a=100 ml \

The pH of an aqueous solution containing 1 M benzoic ac... | null (Chemistry)

\begin{array}{ccc} & \text { 1M Benzoic acid } & +1 \mathrm{M} \text { Sodium Benzoate } \\ & \left(\mathrm{V}_{\mathrm{a}} \mathrm{ml}\right) & \left(\mathrm{V}_{\mathrm{s}} \mathrm{ml}\right) \\ \text { Millimole } & \mathrm{V}_{\mathrm{a}} \times 1 & \mathrm{~V}_{\mathrm{s}} \times 1 \end{array}

\begin{aligned} & \mathrm{pH}=4.5 \\ & \mathrm{pH}=\mathrm{pka}+\log \frac{[\text { salt }]}{[\text { acid }]} \\ & 4.5=4.2+\log \left(\frac{\mathrm{V}_{\mathrm{s}}}{\mathrm{V}_{\mathrm{a}}}\right) \\ & \frac{\mathrm{V}_{\mathrm{s}}}{\mathrm{V}_{\mathrm{a}}}=2 \quad \text{..... (1)}\\ & \mathrm{~V}_{\mathrm{s}}+\mathrm{V}_{\mathrm{a}}=300 \quad \text{..... (2)}\\ & \mathrm{~V}_{\mathrm{a}}=100 \mathrm{~ml} \end{aligned}

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