### Video Transcript

A sugar solution was made by mixing 12 grams of glucose with 100 grams of water. What is the percent concentration by mass of the glucose in the solution? Give your answer to one decimal place.

The sugar solution was made by mixing 12 grams of glucose with 100 grams of water. To find the percent concentration by mass of the glucose in the solution, we need to recognize the key equation. Percent concentration equals the mass of the solute divided by the mass of the solution times 100 percent.

Before we can plug values into this equation, we should define a few key terms. The solute is the substance that is dissolved, and the solvent is the substance doing the dissolving. In this problem, the glucose is the solute and the water is the solvent. When a solute dissolves in the solvent, a solution is produced.

Let’s return to the equation. We know that the mass of the solute is 12 grams, but we weren’t given the mass of the solution. Since a solution is produced by combining a solute and solvent, to determine the mass of the solution, we simply need to add the mass of the solute to the mass of the solvent. 12 grams of glucose plus 100 grams of water produce a sugar solution with a mass of 112 grams.

Before solving, always make sure that the unit for the mass of the solute and the mass of the solution are the same. We perform the calculation and determine the percent concentration by mass to be 10.714 percent. But the question asked us to give our answer to one decimal place. After rounding appropriately, we have determined that the percent concentration by mass of the glucose in the sugar solution is 10.7 percent.