A solution is prepared by dissolving \(283.4\) grams of potassium dichromate in \(650.0\) grams of water. (a) What is the percent potassium dichromate in the solution? (b) If 275 . grams of the solution are poured into a beaker, how many grams of potassium dichromate are introduced into the beaker? (c) How many grams of the solution are required to obtain \(15.0\) grams of potassium dichromate?

Percent composition helps us understand what percentage of a solution or mixture is made up of a particular component. For instance, in the exercise, the solution is composed of potassium dichromate and water. To find the percent composition of potassium dichromate, we need the formula:

\(\text{Percent composition} = \frac{\text{mass of component}}{\text{total mass of solution}} \times 100\).

Using this formula, we calculate that the solution contains 30.36% potassium dichromate. Understanding percent composition is crucial because it tells us how much of each substance is present in a mixture, which is important for reactions and concentration calculations.

Mass calculations are essential when working with solutions and chemical mixtures. We use them to figure out how much of a substance is present in a given amount of solution. There are different types of mass calculations:

• Adding masses to find the total mass
• Using percentages to determine specific masses

In the exercise, understanding the total mass is the first step. We added the mass of potassium dichromate and the mass of water to get 933.4 grams.

Next, using the percent composition (30.36%), we calculated the mass of potassium dichromate in a smaller amount of the solution. For example, 275 grams of the solution contains 83.49 grams of potassium dichromate.

These calculations help us handle questions about how much of a substance we have or need, which is vital in practical and experimental scenarios.

Analyzing a potassium dichromate solution involves understanding its concentration and being able to derive useful information from it. The solution's analysis often entails:

• Determining the percentage composition
• Calculating specific masses of components
• Relating the concentration to practical uses

For example, calculating how much potassium dichromate we have when dealing with specific masses of the solution, or vice versa. In the exercise, we needed 15.0 grams of potassium dichromate.

To find out how much solution is needed, we used the formula: \(\text{Grams of solution} = \frac{\text{mass of potassium dichromate}}{\text{percent potassium dichromate}}\).

This gave us 49.39 grams of solution. Such analyses ensure precise measurements for reactions and are also crucial in industrial and laboratory settings, making sure we obtain the desired concentration and amount accurately.