How many milliliters of gasoline have a mass of 1.2 kg (see TABLE 2.8)? (2.7)

Verified step by step guidance

1. Identify the density of gasoline from TABLE 2.8. Density is typically given in units of g/mL.
2. Convert the mass of gasoline from kilograms to grams. Since 1 kg = 1000 g, multiply the mass in kg by 1000.
3. Use the formula for density: $\text{Density}=\frac{\text{Mass}}{\text{Volume}}$. Rearrange this formula to solve for volume: $\text{Volume}=\frac{\text{Mass}}{\text{Density}}$.
4. Substitute the mass in grams and the density of gasoline into the rearranged formula to calculate the volume in milliliters.
5. Ensure the units are consistent and check your calculations to verify the volume of gasoline in milliliters.

Key Concepts

Density

Density is a physical property defined as mass per unit volume. It is typically expressed in grams per milliliter (g/mL) for liquids. Understanding density is crucial for converting between mass and volume, as it allows us to determine how much space a given mass of a substance occupies.

Mass-Volume Relationship

The mass-volume relationship is a fundamental concept in chemistry that describes how the mass of a substance relates to its volume through its density. This relationship can be expressed with the formula: mass = density × volume. By rearranging this formula, one can calculate the volume of a substance when its mass and density are known.

Gasoline Properties

Gasoline is a complex mixture of hydrocarbons and has specific physical properties, including a known density that varies slightly depending on its composition and temperature. For practical calculations, a standard density value for gasoline is often used, which is typically around 0.74 g/mL. This value is essential for converting the mass of gasoline to its corresponding volume.