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 8900 kg/m³ and the density of tin is 7000 kg/m³. ​

Answer 1

Bronze is an alloy of copper and tin. The density of bronze can be calculated by considering the proportions of copper and tin in the mixture.

Step-by-step explanation:

The density of bronze can be calculated by considering the proportions of copper and tin in the mixture.

Given that the mixture contains 75% by mass of copper and 25% by mass of tin, we can calculate the mass of copper and tin in the 200kg mixture:

1. Mass of copper = 75% of 200kg = 150kg
2. Mass of tin = 25% of 200kg = 50kg

Next, we can use the densities of copper and tin to calculate the volumes of copper and tin in the mixture:

1. Volume of copper = Mass of copper / Density of copper
2. Volume of tin = Mass of tin / Density of tin

Finally, we can calculate the overall density of bronze by dividing the total mass of the mixture by the total volume:

Density of bronze = Total mass of mixture / Total volume of mixture