For 490.0 mL of a buffer solution that is 0.125 M in HC2H3O2 and 0.110 Min NaC2H3O2, calculate the initial pH and the final pH after adding 0.010 mol of HCl.
Express your answers using two decimal places separated by a comma.
we know that
for buffers
pH = pKa + log [salt / acid ]
so
pH = pKa + log [CH3COONa / CH3COOH}
so
pH = 4.76 + log [ 0.11 / 0.125]
pH = 4.7045
so
the pH before addition oos HCl is 4.7045
now
we know that
moles = molarity x volume (L)
so
moles of CH3COOH = 0.125 x 0.490 = 0.06125
moles of CH3COONa = 0.11 x 0.490 = 0.0539
now
moles of HCl added = 0.01
the reaction is
CH3COO- + H+ ---> CH3COOH
so
moles of CH3COO- reacted = moles of HCl added = 0.01
moles of CH3COOH formed = moles of HCl added = 0.01
now
finally
moles of CH3COO- = 0.0539 - 0.01 = 0.0439
moles of CH3COOH = 0.06125 + 0.01 = 0.07125
now
pH = pKa + log [ CH3COONa / CH3COOH]
pH = 4.76 + log [ 0.0439 / 0.07125]
pH = 4.55
so
the final pH of the solution is 4.55
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