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An unknown amount of acid can often be determined by adding an excess of base and then 鈥渂ack-titrating鈥 the excess. A 0.3471-g sample of a mixture of oxalic acid, which has two ionizable protons, and benzoic acid, which has one, is treated with 100.0 mL of 0.1000 M NaOH. The excess NaOH is titrated with 20.00 mL of 0.2000 M HCl. Find the mass % of benzoic acid.

Short Answer

Expert verified

The mass % of benzoic acid is 70.38.

Step by step solution

01

first write down the balanced molecular equation and find out the amount of NaOH used in the reaction:

Molecular equation:

NaOH(aq)+2HCl(aq)NaCl(aq)+H2O(l)

Moles of excess NaOH are:

localid="1661947155051" molesofexcessNaOH=(20mlHCl)(1lit1000ml)(0.2000molHCl1litHClsolution)(1molNaOH1molHCl)

=4x10-3molNaOH

Now, the total moles of NaOH are:

localid="1661947199968" =(100mlNaOH)(1lit1000ml)(0.1000molNaOH1litNaOH)

Total moles of NaOH

=0.0100molNaOH

Used moles of NaOH are:

molesofNaOHused=totalmolesofNaOH-excessmolesofNaOH

=0.01molNaOH-4x10-3molNaOH=6x10-3molNaOH

02

Now write down the molecular equation for back titration and calculate the mass% of benzoic acid by calculating its mass:

Back 鈥 titration equation:

C2H2O4(aq)+C7H6O2(aq)+3NaOH(aq)C2O4Na2(aq)+C7H5O2Na(aq)

Mass of benzoic acid is:

localid="1661947253823" massofbenzoicacid=(6x10-3molNaOH)(1molC7H6O23molNaOH)(122.13gmC7H6O21molC7H6O2)

The mass percent of benzoic acid is:

=0.2443gmC7H6O20.3471gmC7H6O2x100%


massofbenzoicacid=70.38%

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