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sergey [27]
3 years ago
4

You need to prepare 100.0 ml of a ph 4.00 buffer solution using 0.100 m benzoic acid (pka = 4.20) and 0.120 m sodium benzoate. h

ow many milliliters of each solution should be mixed to prepare this buffer?
Chemistry
1 answer:
ololo11 [35]3 years ago
5 0
First, we have to use Henderson-Hasselblach equation to get the weak base/weak acid ratio:

PH = Pka + ㏒[A]/[HA]
when PH = 4

Pka = 4.2 

A  is the benzoate

HA is the benzoic acid

so,
4 = 4.2 + ㏒[A]/[HA]

∴[A]/[HA] = 0.631

when [A]/[HA] = 0.12 m * VA / 0.1 m * VHA

∴0.631 = 0.12m* VA / 0.1m * VHA

now, when we have the total volume of the solution is 100 mL

∴VA = 100 mL - VHA  ( we can substitute with 100 - VHA instead of VA)

∴0.631 = 0.12 * (100-VHA) / 0.1 * VHA

we can assume that VHA = X 

so,
0.631 = 0.12 * (100-X) / 0.1 * X  by  solving this equation for X

∴X = 65.5 

∴VHA = 65.5 mL

so, VA = 100mL - 65.5 ML 
           = 34.5 mL
 
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