If the pKa of HCHO2 is 3.74 and the pH of an HCHO2/NaCHO2 solution is 3.11, which of the following is TRUE? a) [HCHO2] < [NaCHO2]; b) [HCHO2] = [NaCHO2]; c) [HCHO2] << [NaCHO2]; d) [HCHO2] > [NaCHO2]; e) It is not possible to make a buffer of this pH from HCHO2 and NaCHO2

Respuesta :

If the pKa of HCHOâ‚‚ is 3.74 and the pH of an HCHOâ‚‚/NaCHOâ‚‚ solution is 3.11, then the statement which is correct is [HCHOâ‚‚] > [NaCHOâ‚‚].

Buffer solution is a solution which is a mixture of weak acid and its conjugate base or vice a versa. It shows a very little change in pH when strong acid or base is added in it.

Since NaCHOâ‚‚ is a basic salt of formic acid and it acts as a buffer solution. The pH of buffer solution is calculated by the formula

pH=pKa+log([base]/[acid])

We know that HCHOâ‚‚ is an acid, where NaCHOâ‚‚ is a base. Plug all values in the formula

3.11=3.74+log([NaCHOâ‚‚]/[HCHOâ‚‚])

3.11-3.74=log([NaCHOâ‚‚]/[HCHOâ‚‚])

log([NaCHOâ‚‚]/[HCHOâ‚‚])=-0.63

Take antilog on both side

[NaCHOâ‚‚]/[HCHOâ‚‚]=10^(-0.63)

[NaCHOâ‚‚]/[HCHOâ‚‚]=0.234423

Multiply both side by [HCHOâ‚‚]

([NaCHO₂]/[HCHO₂])×[HCHO₂]=0.234423×[HCHO₂]

[NaCHO₂]=0.234423×[HCHO₂]

From the above calculation, it is observed that concentration of NaCHOâ‚‚ is less than the concentration of HCHOâ‚‚. Hence, [HCHOâ‚‚] > [NaCHOâ‚‚].

Therefore, if the pKa of HCHOâ‚‚ is 3.74 and the pH of an HCHOâ‚‚/NaCHOâ‚‚ solution is 3.11, then the statement which is correct is [HCHOâ‚‚] > [NaCHOâ‚‚]. Hence, 'option d' is correct.

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