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Question

Calculate the pH of the solution that results from the addition of 0.040 moles of HNO3 to a buffer made by combining 0.500 L of 0.380 M HC3H5O2(Ka=1.30×105) and 0.500 L of 0.380 M NaC3H5O2. Assume addition of the nitric acid has no effect on volume.
take log 1.30=0.114, log 0.652=0.186

A
4.7
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B
7
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C
5.65
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D
3.24
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Solution

The correct option is A 4.7
1) The nitric acid will reduce the amount of NaC3H5O2:
0.380 molL1×0.500 L=0.190 mol of NaC3H5O2
0.190 mol0.040 mol=0.150 mol NaC3H5O2 remaining

2) The reaction in 1 will increase the amount of HC3H5O2:
The increase will be by the same amount of the decrease
0.190 mol+0.040 mol=0.230 mol of HC3H5O2
pKa=log Ka
pKa=log 1.30×105)
pKa=5log 1.30
pKa=50.114=4.886
The new pH using Henderson-Hasselbalch equation:
pH=pKa+log([salt]/[acid])
pH=pKa+log([NaC3H5O2]/[HC3H5O2])
pH=4.886+log(0.150/0.230) volume is same for both
pH=4.886+log (0.150/0.230)
pH=4.886+log (0.652)
pH=4.8860.186
pH=4.70

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