Amount of starting material needed for Buffer

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To prepare 40 ml of a 0.1M buffer at pH 2.9 using 0.1M formic acid and 0.1M formate, the Henderson-Hasselbalch equation indicates a ratio of base to acid of approximately 0.141. The total volume equation is V_base + V_acid = 40 ml, while the concentration ratio can be expressed as (0.1 * V_base) / (V_base + V_acid) = 0.141 * (0.1 * V_acid) / (V_base + V_acid). Solving these equations will yield the required volumes of base and acid. The Buffer Maker calculator can also assist in determining the exact amounts needed.
thephoenician
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given .1M of formic and .1M formate, how do you make 40 ml of .1M Buffer ph=2.9


basically it's going to equal .141=\frac{base}{acid} after going through henderson hasselbach

Does anyone know how to do this using an ICE table?
 
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ICE table is of no use here.

You have two equations. Total volume:

V_{base} + V_{acid} = 40

and ratio of concentrations (as given by Henderson-Hasselbalch equation):

\frac {0.1*V_{base}} {V_{base} + V_{acid}} = 0.141 * \frac {0.1*V_{acid}} {V_{base} + V_{acid}}

Note that what I have put on both sides is just amount of substance divided by total volume, nothing fancy. Just solve.



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