Question

Brass, an alloy of copper and zinc, consists of 70% by volume of copper and 30% by volume of zinc. density of copper = 8.9 x 10 kg m-³ density of zinc = 7.1 × 10³kg m-3

(i) Determine the mass of copper and the mass of zinc required to make a rod of brass of volume 0.80 × 10-3 m³.

Answer 1

To determine the mass of copper and zinc required to make a rod of brass, you need to consider the volume percentages and the densities of copper and zinc. Using the given information, you can calculate the volume of copper and zinc in the rod and then calculate their respective masses. The final mass values will give you the required mass of copper and zinc.

Step-by-step explanation:

To determine the mass of copper and the mass of zinc required to make a rod of brass, we need to use the volume percentages and the densities of copper and zinc. Given that brass consists of 70% copper and 30% zinc by volume, and the volume of the rod is 0.80 x 10^-3 m³:

1. Calculate the volume of copper and volume of zinc in the rod:
2. Volume of copper = 0.70 x 0.80 x 10^-3 m³ = 0.56 x 10^-3 m³
3. Volume of zinc = 0.30 x 0.80 x 10^-3 m³ = 0.24 x 10^-3 m³
4. Calculate the mass of copper and mass of zinc:
5. Mass of copper = density of copper x volume of copper = (8.9 x 10³ kg/m³) x (0.56 x 10^-3 m³)
6. Mass of zinc = density of zinc x volume of zinc = (7.1 x 10³ kg/m³) x (0.24 x 10^-3 m³)

Performing the calculations will give you the mass of copper and mass of zinc required to make the rod of brass. Remember to use the correct units for the final mass values.