A student measures out exactly 0.105 g of salicylic acid and runs the experiment as dictated in the lab manual. They obtain 0.111 g of aspirin. What is the percent yield for their reaction?

Respuesta :

Answer: The percent yield of the reaction is 8.10 %.

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 = 0.105g

Molar mass of salicylic acid = 138.12 g/mol

Putting values in equation 1, we get:

[tex]\text{Moles of salicylic acid}=\frac{0.105g}{138.12g/mol}=0.0079mol[/tex]

The chemical equation for the formation of aspirin from salicylic acid follows:

[tex]\text{Salicylic acid + Acetic anhydride}\rightarrow \text{Aspirin + Acetic acid}[/tex]

By Stoichiometry of the reaction:

1 mole of salicylic acid produces 1 mole of aspirin

So, 0.0076 moles of salicylic acid will produce = [tex]\frac{1}{1}\times 0.0076=0.0076mol[/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 = 0.0076 moles

Putting values in equation 1, we get:

[tex]0.0076mol=\frac{\text{Mass of aspirin}}{180.16g/mol}\\\\\text{Mass of aspirin}=(0.0076mol\times 180.16g/mol)=1.37g[/tex]

To calculate the percentage yield of aspirin, we use the equation:

[tex]\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100[/tex]

Experimental yield of aspirin = 0.111 g

Theoretical yield of aspirin = 1.37 g

Putting values in above equation, we get:

[tex]\%\text{ yield of aspirin}=\frac{0.111g}{1.37g}\times 100\\\\\% \text{yield of aspirin}=8.10\%[/tex]

Hence, the percent yield of the reaction is 8.10 %.

The percent yield of aspirin is "78.36%".

Calculation of the percent yield of aspirin:

Balanced equation:

[tex]C_7H_6O_3 + C_4H_6O_3\longrightarrow C_9H_8O_4 + HC_2H_3O_2[/tex]

When 1 mole of salicylic acid combines with sufficient acetic acid to produce 1 mole aspirin [tex]180\ g[/tex] of aspirin is produced when [tex]138\ g[/tex] of salicylic acid reacts with an excess of acetic acid. When [tex]0.103\ g[/tex] of salicylic acid is combined with an excess of acetic acid, it produces

[tex]\to 180 \times \frac{0.103}{138} \\\\\to 180 \times 7.463 \\\\\to 0.1343\\[/tex]

Using formula for calculating the percent yield of aspirin:

[tex]\to \text{actual yield} \times \frac{100}{\text{theoretical yield}}[/tex]

[tex]= 0.105 \times \frac{100}{0.134} \\\\ = 0.105 \times 746.268656\\\\ = 78.36\%[/tex]

Therefore, the percent yield of aspirin is "78.36%".

Find out more information about salicylic acid here:

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