60 cm^3 of gasoline are mixed with 55 cm^3 of water. What is the average density of the mixture?
the density of gasoline: 680
What is the mass of the gasoline? (Hint use density of gasoline). What is the mass of water? What is the combined mass, and combined volume
densitycombo=combinedmass/combinedvolume.
To find the average density of the mixture, we need to consider both the density of gasoline and the density of water. The average density can be calculated using the formula:
Average Density = (Volume of Gasoline * Density of Gasoline + Volume of Water * Density of Water) / Total Volume
Given:
Volume of gasoline = 60 cm^3
Density of gasoline = 680 g/cm^3
Volume of water = 55 cm^3
Density of water = 1 g/cm^3 (approximately)
Substituting these values into the formula, we have:
Average Density = (60 cm^3 * 680 g/cm^3 + 55 cm^3 * 1 g/cm^3) / (60 cm^3 + 55 cm^3)
Simplifying, we get:
Average Density = (40800 g + 55 g) / 115 cm^3
Average Density = 40855 g / 115 cm^3
Average Density ≈ 355.696 g/cm^3
Therefore, the average density of the mixture is approximately 355.696 g/cm^3.