Determine the density (g/mL) for each of the following: b. A cube of butter weighs 0.250 lb and has a volume of 130.3 mL.

Verified step by step guidance

1. Convert the weight of the butter from pounds to grams. Use the conversion factor: 1 lb = 453.592 g.
2. Calculate the density using the formula: $\text{Density}=\frac{\text{Mass}}{\text{Volume}}$.
3. Substitute the mass in grams and the volume in mL into the density formula.
4. Simplify the expression to find the density in g/mL.
5. Ensure the units are consistent and the final density is expressed in g/mL.

Key Concepts

Density

Density is defined as the mass of an object divided by its volume, typically expressed in grams per milliliter (g/mL) in the context of liquids and solids. It is a crucial property that helps in identifying substances and understanding their behavior in different states. The formula for density is D = m/V, where D is density, m is mass, and V is volume.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, the mass of the butter is given in pounds (lb), which must be converted to grams (g) to calculate density in g/mL. Understanding how to convert between units is essential for accurate calculations in scientific contexts.

Mass and Volume Relationship

The relationship between mass and volume is fundamental in physics and chemistry, as it underpins the concept of density. Mass refers to the amount of matter in an object, while volume measures the space it occupies. In this problem, knowing both the mass (after conversion) and the volume allows for the calculation of density, illustrating how these two properties interact.