To determine the percentage solution formed by dissolving 245 grams of solute in 1500 milliliters of solvent, we can follow these steps:
1. Understand the problem: We need to find the percentage concentration by mass, which is defined as the mass of the solute divided by the total mass of the solution, multiplied by 100 to convert it to a percentage.
2. Convert volumes to masses: Assume that the solvent is water, which has a density of approximately 1 gram per milliliter. Thus, 1500 milliliters of water weighs 1500 grams.
3. Calculate the total mass of the solution:
[tex]\[
\text{Total mass of solution} = \text{Mass of solute} + \text{Mass of solvent}
\][/tex]
Plugging in the given values:
[tex]\[
\text{Total mass of solution} = 245 \text{ grams} + 1500 \text{ grams} = 1745 \text{ grams}
\][/tex]
4. Calculate the percentage concentration by mass:
[tex]\[
\text{Percentage concentration} = \left( \frac{\text{Mass of solute}}{\text{Total mass of solution}} \right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Percentage concentration} = \left( \frac{245 \text{ grams}}{1745 \text{ grams}} \right) \times 100 \approx 14.040114613180515 \%
\][/tex]
5. Round the result to the hundredths place:
The percentage solution rounded to the hundredths place is 14.04%.
Hence, the percentage solution formed by combining 245 grams of solute in 1500 milliliters of solvent is 14.04%.
