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Chapter 12: Problem 210

When \(5.00 \mathrm{~g}\) of a solute is dissolved in sufficient solvent to produce \(100.0 \mathrm{~mL}\) of solution, (a) What is the percent by mass/volume concentration of the solute? (b) What additional information do you need to calculate the percent by mass concentration of the solute, and how would you calculate that concentration once you had the missing information?

Short Answer

Expert verified
The percent by mass/volume concentration of the solute in the solution is 5.00%. To calculate the percent by mass concentration, we would need to know the mass of the solvent or the total mass of the solution. With this information, we can use the formula \( \frac{Mass\: of\: solute}{Total\: mass\: of\: solution}\times 100\% \) or \( \frac{Mass\: of\: solute}{Mass\: of\: solute + Mass\: of\: solvent}\times 100\% \) to find the percent by mass concentration of the solute.

Step by step solution

01

Determine the mass and volume of the solution

We are given the mass of the solute (5.00 g) and the volume of the solution (100.0 mL).
02

Calculate the percent by mass/volume concentration

To find the percent by mass/volume concentration, we will use the formula: \[ Percent\: by\: mass/volume\: concentration\ = \frac{Mass\: of\: solute}{Volume\: of\: solution}\times 100\%\] Now, substitute the given values and solve for the percent by mass/volume concentration: \[\frac{5.00 \mathrm{~g}}{100.0 \mathrm{~mL}} \times 100\% = 5.00 \% \] Therefore, the percent by mass/volume concentration of the solute in the solution is 5.00%. #b) Additional information required to calculate percent by mass concentration#
03

Identify the missing information

To calculate the percent by mass concentration of the solute, we need to know the mass of the solvent or the total mass of the solution.
04

Calculate the percent by mass concentration

If we have the missing information (mass of solvent or total mass of the solution), we can calculate the percent by mass concentration using the formula. Percent by mass concentration: \[ \frac{Mass\: of\: solute}{Total\: mass\: of\: solution}\times 100\% \] If we are given the mass of solvent, the formula becomes: \[ \frac{Mass\: of\: solute}{Mass\: of\: solute + Mass\: of\: solvent}\times 100\% \] Once we have the missing information, we can substitute the values and calculate the percent by mass concentration of the solute in the solution.

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