Question

you wish to prepare an hc2h3o2 buffer with a ph of 5.44. if the pka of the acid is 4.74, what ratio of c2h3o2-/hc2h3o2 must you use?

Answer 1

The ratio of buffer C₂H₃O₂ /HC₂H₃O₂  must you use are1:0.199 or 10:2

the ratio of buffer C₂H₃O₂ /HC₂H₃O₂  can be calculate using the Henderson-Hasselbalch Equation which relates the pH to the measure of acidity pKa. The equation is given as:

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

Where,

[base] = concentration of C₂H₃O₂in molarity or moles

[acid] = concentration of HC₂H₃O₂ in molarity or moles

For the sake of easy calculation, allow us to assume that:

[base] =1

[acid] = x

Therefore using equation 1,

5.44 = 4.74 + log (1 / x)

log [base / acid] = 0.7

1 / x = 5.0118

x = 0.199

The required ratio of buffer C₂H₃O₂ /HC₂H₃O₂ is 1:0.199 or 10:2

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