For school, we performed a back titration involving one brand of aspirin and were told to determine the quantity of acetylsalicylic acid in a single tablet. sodium hydroxide was added in excess then the solution was heated. the excess unreacted NaOH was then reacted with HCl. my calculations are as follows:
V(NaOH) = 0.04085L
c(NaOH) = 0.111M hence n(NaOH) total = 0.00435 moles
v(HCl) = 0.01778L
c(HCl) = 0.0582M hence n(HCl) = 0.001035 moles
number of moles excess = number of moles titrated of HCl
hence 0.001035 moles didn't react with acetylsalicylic acid
the number of moles of NaOH that reacted with acetylsalicylic acid is 0.00435-0.001035 = 0.003495
therefore 0.003495 moles of NaOH reacted with the acetylsalicylic acid
the mole ration between NaOH and acetylsalicylic acid is 1:2
meaning the number of moles of acetylsalicylic acid is 1/2 x 0.003495
which is = 0.0017475 moles
Molar mass acetylsalicylic acid = 180.158g/mol
0.0017475 x 180.158 = 0.314g or 314mg
this does not make sense considering I only added 300mg of crushed aspirin powder in the first place, meaning that I would have a percentage purity of 105%
if anyone can see any obvious errors on my part or could suggest any reason for this ridiculous result, I would be extremely appreciative
)