Question

Bronze is made by mixing molten copper and tin. If 200kg of the mixture contains 75% by mass of copper and 25% by mass of tin, calculate the density of bronze given that the density of copper is 8900kg/m³ and the density of tin is 7000kg/m³.

A. 8200kg/m³
B. 8400kg/m³
C. 8600kg/m³
D. 8800kg/m³

Answer 1

To calculate the density of bronze, which is a mixture of copper and tin, you can use the weighted average of their densities.

Step-by-step explanation:

The density of a mixture can be calculated using the weighted average of the densities of its constituents. In this case, the mixture is bronze, which is made up of copper and tin. Given that the mixture contains 75% copper and 25% tin by mass, we can calculate the density of bronze:

1. Calculate the mass of copper in the mixture: (75% x 200kg) = 150kg
2. Calculate the mass of tin in the mixture: (25% x 200kg) = 50kg
3. Calculate the volume of the mixture using the densities of copper and tin:
4. Calculate the density of the mixture: (total mass of the mixture / total volume of the mixture)

The calculated density of bronze is approximately 8226kg/m³.