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Calculate the mass/volume percent of a NaCl solution in which 153 g of NaCl is dissolved in enough water to give a total volume of 4.53 L.

Express your answer numerically.



Answer :

GinnyAnswer
Certainly! Let's calculate the mass/volume percent of a NaCl solution where 153 grams of NaCl is dissolved in enough water to yield a total volume of 4.53 liters.

Step-by-Step Solution:

1. Identify the given values:
- Mass of NaCl (solute) = 153 grams
- Total volume of the solution = 4.53 liters

2. Understand the formula:
The mass/volume percent (m/v %) is calculated using the formula:
[tex]\[ \text{Mass/Volume Percent} = \left( \frac{\text{Mass of Solute}}{\text{Volume of Solution}} \right) \times 100 \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Mass/Volume Percent} = \left( \frac{153 \text{ grams}}{4.53 \text{ liters}} \right) \times 100 \][/tex]

4. Calculate the result:
[tex]\[ \left( \frac{153}{4.53} \right) \times 100 = 3377.4834437086092 \][/tex]

Therefore, the mass/volume percent of the NaCl solution is approximately 3377.48%.

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