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In general:

pHbuffer = pKa - log10 [ (acid) / (base) ]Legend:
  • pHbuffer = 4.5
  • acid = acetic acid, amount in mmoles, unknown = A(mmol) = Volume(L)*conc(mmol/L)
  • base= acetate, amount in mmoles = 50.0 mmol = 1.00(L)*50(mmol/L)
  • to be known from table: pKa = 4.77 for acetic acid

Calculation:

Rearranging to: pKa - pHbuffer = log10[ acid / base ]

Inverting log to exponent:

[ acid / base ] = 10[ pKa - pH ] = INVlog[ pKa - pH ] = INVlog[ 4.77 - 4.5 ] = INVlog[0.27] = 100.27 = 1.86 (a/b ratio)

So if base (acetate) is to be 50.0 mmol (present in 1.00 L) then acid (acetic) has to be 93.0 mmol (because a/b ratio has to be 1.86 whence 93.0/50.0= 1.86).

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