Math Problem Statement
acetone, the solvent in many nail polish removers, has a density of .791 g/ml. Calculate the volume, in milliliters, of 15.2 g of acetone.
Solution
To calculate the volume of acetone given its mass and density, you can use the formula:
Where:
- Mass = 15.2 g
- Density = 0.791 g/mL
Substitute the values into the formula:
Thus, the volume of 15.2 g of acetone is approximately 19.21 mL.
Would you like more details or have any questions?
Here are 5 related questions to deepen your understanding:
- How would the volume change if the mass of acetone was doubled?
- What would happen to the volume if the density of the solvent increased?
- How can we calculate the mass of acetone if the volume and density are known?
- Can you explain the concept of density in relation to other common solvents?
- What is the formula for converting mass to volume for any substance?
Tip: Always ensure that the units are consistent when using formulas (e.g., mass in grams, volume in mL).
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Math Problem Analysis
Mathematical Concepts
Density and Volume Calculation
Algebra
Formulas
Volume = Mass / Density
Theorems
Basic Density-Volume Relationship
Suitable Grade Level
Grades 8-10