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
i want convertions
To find the average density of the mixture, we need to take into account the densities of both gasoline and water, as well as their respective volumes.
Given:
- Volume of gasoline = 60 cm^3
- Volume of water = 55 cm^3
- Density of gasoline = 680 g/cm^3 (as given)
First, we need to calculate the mass of each component:
- Mass of gasoline = Volume of gasoline * Density of gasoline
= 60 cm^3 * 680 g/cm^3 = 40800 g
- Mass of water = Volume of water * Density of water (which is 1 g/cm^3)
= 55 cm^3 * 1 g/cm^3 = 55 g
Next, we calculate the total mass of the mixture:
- Total mass = Mass of gasoline + Mass of water
= 40800 g + 55 g = 40855 g
Finally, we calculate the average density of the mixture:
- Average density = Total mass / Total volume
= 40855 g / (60 cm^3 + 55 cm^3)
= 40855 g / 115 cm^3
≈ 355.00 g/cm^3
Therefore, the average density of the mixture is approximately 355.00 g/cm^3.