a student was asked to determine the components of a mixture of potassium bromide (KBr), magnesium hydroxide, Mg(OH)2, and barium sulfate (BaSO4). The mass of the sample of the mixture used was 3.21 g 

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To determine the components of the mixture, you need to employ the process of separation and identification. Here's a step-by-step explanation:

1. Start by adding water to the mixture. Both magnesium hydroxide (Mg(OH)2) and barium sulfate (BaSO4) are insoluble in water, while potassium bromide (KBr) is soluble. By adding water, the KBr will dissolve while the other two substances will remain as solids.

2. Now that you have a solution, you can separate the soluble KBr from the insoluble Mg(OH)2 and BaSO4. To do this, you can apply filtration. Set up a filter paper or funnel lined with filter paper, place it over a container, and pour the solution through it. The KBr will pass through the filter paper, and the insoluble solids will be collected on top of the filter paper.

3. Once you have separated the KBr solution, you need to recover the solid KBr from the solution. This can be done by evaporating the water from the solution. You can do this by gently heating the solution in an open container. As water evaporates, the KBr will be left behind as a solid.

4. Now that you have collected the solid KBr, you can weigh it to determine its mass. This will give you one component of the mixture.

5. To determine the remaining components (Mg(OH)2 and BaSO4), you need to calculate their masses indirectly. Start by weighing the filter paper with the collected solids (Mg(OH)2 and BaSO4) from the filtration step. Subtract the mass of the filter paper to get the mass of the solids.

By following these steps, you can determine the mass of potassium bromide (KBr) and the combined mass of magnesium hydroxide (Mg(OH)2) and barium sulfate (BaSO4) in the mixture.