A block of aluminum occupies a volume of 15.0 mL and has a mass of 40.5 g. What is its density?
density = [?] g / mL
Answer (2)
The density of the aluminum block is calculated using the formula density = mass/volume. With a mass of 40.5 g and a volume of 15.0 mL, the density is found to be 2.7 g/mL. This measurement is essential for understanding material properties and applications in science and engineering.
;
The problem provides the mass and volume of an aluminum block.
Density is calculated using the formula: density = volume mass .
Substitute the given mass (40.5 g) and volume (15.0 mL) into the formula.
Calculate the density: density = 15.0 40.5 = 2.7 g/mL .
2.7
Explanation
Understanding the Problem We are given the mass and volume of an aluminum block and asked to find its density. Density is defined as mass per unit volume.
Stating the Formula and Given Values The formula for density is: density = volume mass We are given: Mass, m = 40.5 g Volume, V = 15.0 mL
Calculating the Density Now, we substitute the given values into the density formula: density = 15.0 mL 40.5 g Performing the division, we get: density = 2.7 g/mL
Final Answer Therefore, the density of the aluminum block is 2.7 g/mL .
Examples
Understanding density is crucial in many real-world applications. For instance, when designing ships, engineers need to calculate the density of materials to ensure the ship floats. Similarly, in construction, knowing the density of concrete helps determine the load-bearing capacity of structures. In cooking, density affects how ingredients layer in a drink or salad dressing. This concept is fundamental in science and engineering for predicting how materials will behave under different conditions.
