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 (lb) to grams (g). Use the conversion factor: 1 lb = 453.592 g.
2. Write the formula for density: $d=\frac{m}{V}$, where $d$ is density, $m$ is mass, and $V$ is volume.
3. Substitute the mass (in grams) and the volume (in mL) into the formula. The mass is the converted value from step 1, and the volume is given as 130.3 mL.
4. Perform the division to calculate the density. Ensure the units are consistent: grams (g) for mass and milliliters (mL) for volume.
5. Express the final density value in the correct significant figures based on the given data (0.250 lb and 130.3 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) for liquids and solids. It is a crucial property that helps in identifying substances and understanding their behavior in different contexts. 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 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. In this scenario, knowing the mass (after conversion) and the volume of the butter allows for the calculation of its density. This relationship is vital for understanding how different materials interact and behave under various conditions.