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

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 a substance 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 identify substances and understand their behavior in different conditions. 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 chemistry.

Mass and Volume Relationship

The relationship between mass and volume is fundamental in determining the density of a substance. In this case, knowing both the mass (after conversion) and the volume of the butter allows for the calculation of its density. This relationship is key in various applications, including material identification and quality control in food science.