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Question

If 20 mL of a 0.1 M NaOH is added to 30 mL of 0.2M CH3COOH (pka=4.74), the pH of the resulting solutiin is

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Solution

Number of gram equivalents(eq) = moles x acidity of a base (or bascity of an acid.)

Or

= Molarity x Volume in litres x acidity of a base (or bascity of an acid)

So,

Eq(NaOH) = 20/1000 x 0.1 x 1 = 0.002 eq

Eq(CH3COOH) = 30/1000 x0.2 x1 = 0.006 eq

That means acid = base. Hence a salt would be formed in the solution with total volume = 30 + 20 =50 ml

The pH of a strong base weak acid salt solution = 7 + 0.5(pKa +logC) where C is concentration of salt

concentration of salt = eq/volume =1000 x 0.002/50 = 0.4

So

pH = 7 + 0.5(4.74 +log0.4)

pH = 9.171

For such questions always first determine what will exist after the mixture has reacted among itself. Once you know what is present, you can apply the formula.


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