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Answer :
- Calculate the mass % concentration using the formula: $\text{mass % concentration} = \frac{\text{mass of solute}}{\text{mass of solution}} \times 100$.
- Substitute the given values: mass of solute (NaBr) = 1.96 grams, mass of solution = 38.5 grams.
- Perform the calculation: $\text{mass % concentration} = \frac{1.96}{38.5} \times 100 = 5.0909 \%$.
- Round the result to two decimal places: The mass % concentration is $\boxed{5.09 \%}$.
### Explanation
1. Understanding the Problem
We are asked to calculate the mass % concentration of a solution. This tells us how much of the solute (Sodium Bromide, NaBr) is present in the solution.
2. Formula for Mass % Concentration
The mass % concentration is calculated using the following formula:
$$ \text{mass % concentration} = \frac{\text{mass of solute}}{\text{mass of solution}} \times 100 $$
3. Given Information
We are given:
Mass of solute (NaBr) = 1.96 grams
Mass of solution = 38.5 grams
4. Substituting Values
Now, we substitute the given values into the formula:
$$ \text{mass % concentration} = \frac{1.96 \text{ grams}}{38.5 \text{ grams}} \times 100 $$
5. Calculating the Result
Calculating the mass % concentration:
$$ \text{mass % concentration} = 0.050909 \times 100 = 5.0909 \% $$
Rounding to two decimal places, we get 5.09%.
6. Final Answer
Therefore, the mass % concentration of the NaBr solution is 5.09%.
### Examples
In everyday life, understanding mass percent concentration is crucial in various applications. For example, when preparing cleaning solutions, it's important to know the concentration of the active ingredient to ensure effectiveness and safety. Similarly, in cooking, the concentration of salt or sugar in a recipe can significantly impact the taste of the final dish. In medicine, intravenous solutions are prepared with specific concentrations to maintain the body's electrolyte balance. Knowing how to calculate mass percent concentration helps in accurately preparing solutions for these real-world applications.
- Substitute the given values: mass of solute (NaBr) = 1.96 grams, mass of solution = 38.5 grams.
- Perform the calculation: $\text{mass % concentration} = \frac{1.96}{38.5} \times 100 = 5.0909 \%$.
- Round the result to two decimal places: The mass % concentration is $\boxed{5.09 \%}$.
### Explanation
1. Understanding the Problem
We are asked to calculate the mass % concentration of a solution. This tells us how much of the solute (Sodium Bromide, NaBr) is present in the solution.
2. Formula for Mass % Concentration
The mass % concentration is calculated using the following formula:
$$ \text{mass % concentration} = \frac{\text{mass of solute}}{\text{mass of solution}} \times 100 $$
3. Given Information
We are given:
Mass of solute (NaBr) = 1.96 grams
Mass of solution = 38.5 grams
4. Substituting Values
Now, we substitute the given values into the formula:
$$ \text{mass % concentration} = \frac{1.96 \text{ grams}}{38.5 \text{ grams}} \times 100 $$
5. Calculating the Result
Calculating the mass % concentration:
$$ \text{mass % concentration} = 0.050909 \times 100 = 5.0909 \% $$
Rounding to two decimal places, we get 5.09%.
6. Final Answer
Therefore, the mass % concentration of the NaBr solution is 5.09%.
### Examples
In everyday life, understanding mass percent concentration is crucial in various applications. For example, when preparing cleaning solutions, it's important to know the concentration of the active ingredient to ensure effectiveness and safety. Similarly, in cooking, the concentration of salt or sugar in a recipe can significantly impact the taste of the final dish. In medicine, intravenous solutions are prepared with specific concentrations to maintain the body's electrolyte balance. Knowing how to calculate mass percent concentration helps in accurately preparing solutions for these real-world applications.
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