High School

A solution is prepared by dissolving 99.7 g of CsBr in enough water to form 895 ml of solution. Calculate the mass percentage of the solution if the density of the solution is 1.06 g/ml.

Answer :

Final answer:

To calculate the mass percent of CsBr in the solution, the total mass of the solution is found using the density and volume, then this is used to determine the percent of CsBr, resulting in approximately 10.5%.

Explanation:

To calculate the mass percentage of the CsBr solution, first find the mass of the solution. Since the density of the solution is 1.06 g/ml, the mass of 895 ml of solution is calculated as follows:

Mass of solution = Density × Volume
Mass of solution = 1.06 g/ml × 895 ml
Mass of solution = 948.7 g

Next, you have the mass of the solute which is the mass of cesium bromide (dissolving 99.7 g of CsBr), so the mass percentage can be calculated as:

Mass Percent = (Mass of solute / Mass of solution) × 100%
Mass Percent = (99.7 g / 948.7 g) × 100%
Mass Percent = ≈10.5%

Therefore, the mass percent of CsBr in the solution is approximately 10.5%.

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