What is the density of lead in g/cm3 if a sample weighing 206.77 g has a volume of 15.50 cm3?

Verified step by step guidance

1. Identify the given values: mass of lead (m) = 206.77 g, volume of lead (V) = 15.50 cm3.
2. Recall the formula for density (\( \rho \)), which is the mass of a substance divided by its volume: \( \rho = \frac{m}{V} \).
3. Substitute the given values into the density formula: \( \rho = \frac{206.77 \, \text{g}}{15.50 \, \text{cm}^3} \).
4. Perform the division to calculate the density.
5. Express the result in grams per cubic centimeter (g/cm3), which is the standard unit for density in the context of this problem.

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) for solids. It is a physical property that helps identify substances and can be calculated using the formula: Density = Mass/Volume. Understanding density is crucial for solving problems related to the mass and volume of materials.

Mass and Volume

Mass is a measure of the amount of matter in an object, usually measured in grams (g), while volume is the amount of space that an object occupies, measured in cubic centimeters (cm³) or liters. In the context of the question, the mass of the lead sample is given as 206.77 g, and its volume is 15.50 cm³, both of which are essential for calculating density.

Units of Measurement

In chemistry, it is important to use consistent units of measurement to ensure accurate calculations. The question uses grams for mass and cubic centimeters for volume, which are compatible units for calculating density. Understanding how to convert between different units, if necessary, is also vital for solving problems in chemistry.