Respuesta :
Answer:
For a: The mass of acetic anhydride reacts is 2.25 grams
For b: The mass of aspirin produced is 3.96 grams
For c: The mass of acetic acid produced is 1.32 grams
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
Given mass of salicylic acid = 3.07 g
Molar mass of salicylic acid = 138.12 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of salicylic acid}=\frac{3.07g}{138.12g/mol}=0.022mol[/tex]
The chemical equation for the reaction of salicylic acid and acetic anhydride follows:
[tex]C_7H_6O_3+C_4H_6O_3\rightarrow C_9H_8O_4+CH_3COOH[/tex]
- For a:
By Stoichiometry of the reaction:
1 mole of salicylic acid reacts with 1 mole of acetic anhydride
So, 0.022 moles of salicylic acid will react with = [tex]\frac{1}{1}\times 0.022=0.022mol[/tex] of acetic anhydride
Now, calculating the mass of acetic anhydride from equation 1, we get:
Molar mass of acetic anhydride = 102.1 g/mol
Moles of acetic anhydride = 0.022 moles
Putting values in equation 1, we get:
[tex]0.022mol=\frac{\text{Mass of acetic anhydride}}{102.1g/mol}\\\\\text{Mass of acetic anhydride}=(0.022mol\times 102.1g/mol)=2.25g[/tex]
Hence, the mass of acetic anhydride reacts is 2.25 grams
- For b:
By Stoichiometry of the reaction:
1 mole of salicylic acid produces 1 mole of aspirin
So, 0.022 moles of salicylic acid will produce = [tex]\frac{1}{1}\times 0.022=0.022mol[/tex] of aspirin
Now, calculating the mass of aspirin from equation 1, we get:
Molar mass of aspirin = 180.16 g/mol
Moles of aspirin = 0.022 moles
Putting values in equation 1, we get:
[tex]0.022mol=\frac{\text{Mass of aspirin}}{180.16g/mol}\\\\\text{Mass of aspirin}=(0.022mol\times 180.16g/mol)=3.96g[/tex]
Hence, the mass of aspirin produced is 3.96 grams
- For c:
By Stoichiometry of the reaction:
1 mole of salicylic acid produces 1 mole of acetic acid
So, 0.022 moles of salicylic acid will produce = [tex]\frac{1}{1}\times 0.022=0.022mol[/tex] of acetic acid
Now, calculating the mass of acetic acid from equation 1, we get:
Molar mass of acetic acid = 60 g/mol
Moles of acetic acid = 0.022 moles
Putting values in equation 1, we get:
[tex]0.022mol=\frac{\text{Mass of acetic acid}}{60g/mol}\\\\\text{Mass of acetic acid}=(0.022mol\times 60g/mol)=1.32g[/tex]
Hence, the mass of acetic acid produced is 1.32 grams
