# Question #b447f

Dec 7, 2016

Synthesis of aspirin (acetylsalicylic acid) follows the reaction as represented by the above balanced equation.

As per above equation acetic anhydride and salicylic acid reacts in $1 : 1$ mole ratio.

The amount of acetic anhydride in $6.8 m L$

$= 6.8 m L \times 1.08 \frac{g}{\text{mL}} = 7.344 g$

Now by the equation

$102.09 g$ acetic anhydride reacts with $138.12 g$ salicylic acid.

So $7.344 g$ acetic anhydride requires $\frac{138.12}{102.09} \times 7.344 = 9.936 g$ salicylic acid.

But the amount of salicylic acid actually taken is $3.395$.

So this is the limiting reagent.

We are to calculate the theoretical yield with respect to this reagent.

Now by the above equation we know that $138.12 g$ salicylic acid produces $180.157 g$ aspirin.

So $3.395 g$ salicylic acid will produce $\frac{180.157}{138.12} \times 3.395 = 4.428 g$ aspirin.

So theoretical yield of aspirin $= 4.428 g$