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Answer :
To find the percent by mass of the solute (NaBr) in the solution, we'll follow these steps:
1. Identify the Given Values:
- The mass of the solute (NaBr) is 6.50 grams.
- The total mass of the solution is 38.2 grams.
2. Understand the Concept:
- Percent by mass is a way of expressing the concentration of a component in a mixture or solution. It is calculated using the formula:
[tex]\[
\text{Percent by mass} = \left(\frac{\text{Mass of solute}}{\text{Total mass of solution}}\right) \times 100
\][/tex]
3. Calculate the Percent by Mass:
- Substitute the given values into the formula:
[tex]\[
\text{Percent by mass} = \left(\frac{6.50}{38.2}\right) \times 100
\][/tex]
4. Compute the Result:
- Divide the mass of the solute by the total mass of the solution:
[tex]\[
\frac{6.50}{38.2} \approx 0.1701570680628272
\][/tex]
- Multiply the result by 100 to convert it to a percentage:
[tex]\[
0.1701570680628272 \times 100 \approx 17.01570680628272
\][/tex]
5. Round the Answer:
- Round the result to three significant digits:
[tex]\[
\approx 17.016
\][/tex]
Therefore, the percent by mass of NaBr in the solution is approximately 17.016%.
1. Identify the Given Values:
- The mass of the solute (NaBr) is 6.50 grams.
- The total mass of the solution is 38.2 grams.
2. Understand the Concept:
- Percent by mass is a way of expressing the concentration of a component in a mixture or solution. It is calculated using the formula:
[tex]\[
\text{Percent by mass} = \left(\frac{\text{Mass of solute}}{\text{Total mass of solution}}\right) \times 100
\][/tex]
3. Calculate the Percent by Mass:
- Substitute the given values into the formula:
[tex]\[
\text{Percent by mass} = \left(\frac{6.50}{38.2}\right) \times 100
\][/tex]
4. Compute the Result:
- Divide the mass of the solute by the total mass of the solution:
[tex]\[
\frac{6.50}{38.2} \approx 0.1701570680628272
\][/tex]
- Multiply the result by 100 to convert it to a percentage:
[tex]\[
0.1701570680628272 \times 100 \approx 17.01570680628272
\][/tex]
5. Round the Answer:
- Round the result to three significant digits:
[tex]\[
\approx 17.016
\][/tex]
Therefore, the percent by mass of NaBr in the solution is approximately 17.016%.
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