A beaker with 185 mL of an acetic acid buffer with a pH of 5.00 is sitting on a benchtop. The total molarity of acid and conjugate base in this buffer is 0.100 M. A student adds 4.9 mL of a 0.290 M HCl solution to the beaker. How much will the pH change? The pKa of acetic acid is 4.760.A beaker with 185 mL of an acetic acid buffer with a pH of 5.00 is sitting on a benchtop. The total molarity o?
let x = [acetic acid]
let y = [acetate]
x + y = 0.100
5.00 = 4.760 + log y/x
0.24 = log y/x
10^0.24 = y/x =1.74
y = 1.74 x
x + 1.74 x = 0.100
2.74 x = 0.100
x = 0.0365 M
y = 0.0635 M
moles acetic acid = 0.0365 x 0.185 L = 0.00675
moles acetate = 0.0635 x 0.185 L=0.0117
moles H+ added = 4.9 x 10^-3 L x 0.290 = 1.42 x 10^-3
moles acetic acid = 0.00675 + 1.42 x 10^-3 = 0.00817
moles acetate = 0.0117 - 1.42 x 10^-3=0.0103
pH = 4.760 + log 0.0103/ 0.00817= 4.86
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