Questions: A chemistry student needs 15.0 g of thiophene for an experiment. She has available 120 g of a 26.2% w/w solution of thiophene in ethanol. Calculate the mass of solution the student should use. If there's not enough solution, press the "No solution" button. Round your answer to 3 significant digits. g

Solution Steps

The student has a solution that is 26.2% thiophene by weight. This means that in every 100 g of the solution, there are 26.2 g of thiophene.

To find out how much of the solution is needed to obtain 15.0 g of thiophene, we set up the equation:

\[ \text{mass of thiophene} = \left(\frac{\text{percentage of thiophene}}{100}\right) \times \text{mass of solution} \]

Substituting the known values:

\[ 15.0 \, \text{g} = \left(\frac{26.2}{100}\right) \times \text{mass of solution} \]

Solving for the mass of the solution:

\[ \text{mass of solution} = \frac{15.0 \, \text{g}}{0.262} \approx 57.2519 \, \text{g} \]

The student has 120 g of the solution available. Since 57.2519 g is less than 120 g, there is enough solution available.

Final Answer