What is the density of lead in g/cm3 if a rectangular bar mea-suring 0.50 cm in height, 1.55 cm in width, and 25.00 cm in length has a mass of 220.9 g?

Verified step by step guidance

1. Calculate the volume of the rectangular bar using the formula for the volume of a rectangular prism: \( V = \text{height} \times \text{width} \times \text{length} \).
2. Substitute the given dimensions into the volume formula: \( V = 0.50 \text{ cm} \times 1.55 \text{ cm} \times 25.00 \text{ cm} \).
3. Perform the multiplication to find the volume in cubic centimeters (cm³).
4. Use the formula for density: \( \text{Density} = \frac{\text{mass}}{\text{volume}} \).
5. Substitute the mass of the bar (220.9 g) and the calculated volume into the density formula to find the density in g/cm³.

Key Concepts

Density

Density is defined as the mass of an object divided by its volume, typically expressed in grams per cubic centimeter (g/cm³). It provides a measure of how much matter is contained in a given volume and is a crucial property for identifying substances. In this case, density can be calculated using the formula: density = mass/volume.

Volume of a Rectangular Prism

The volume of a rectangular prism is calculated by multiplying its height, width, and length. The formula is Volume = height × width × length. This concept is essential for determining the volume of the lead bar in the question, which is necessary for calculating its density.

Units of Measurement

Understanding units of measurement is vital in chemistry, especially when calculating density. In this context, mass is given in grams (g) and dimensions in centimeters (cm), leading to a volume in cubic centimeters (cm³). Consistency in units ensures accurate calculations and comparisons between different substances.