Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in this lab you are synthesizing acetylsalicylic acid (asa) from salicy…

Question

in this lab you are synthesizing acetylsalicylic acid (asa) from salicylic acid using acetic anhydride, with phosphoric acid as a catalyst.
if the amount of salicylic acid at the start of the reaction was 1.05 g, what is the theoretical yield of asa in g? assume acetic anhydride is in excess.
hint: the structures of all the compounds you need are in the lab manual.
answer:

Explanation:

Step1: Calculate the molar mass of salicylic acid

The molar mass of salicylic acid ($C_7H_6O_3$) is $M_{salicylic\ acid}=(7\times12)+(6\times1)+(3\times16)=138\ g/mol$.

Step2: Calculate the number of moles of salicylic acid

Using the formula $n = \frac{m}{M}$, where $m = 1.05\ g$ and $M = 138\ g/mol$. So $n_{salicylic\ acid}=\frac{1.05}{138}\ mol$.

Step3: Determine the mole ratio between salicylic acid and ASA

From the reaction equation (not shown here but based on the synthesis reaction), the mole ratio of salicylic acid to ASA ($C_9H_8O_4$) is $1:1$.

Step4: Calculate the molar mass of ASA

The molar mass of ASA is $M_{ASA}=(9\times12)+(8\times1)+(4\times16)=180\ g/mol$.

Step5: Calculate the theoretical yield of ASA

Since $n_{ASA}=n_{salicylic\ acid}$, and $m = n\times M$. So $m_{ASA}=\frac{1.05}{138}\times180\ g$.

$$m_{ASA}=\frac{1.05\times180}{138}\approx1.37\ g$$

Answer:

$1.37$