Question

Bronze is an alloy made of copper (cu) and tin (sn). calculate the mass of a bronze cylinder of radius 3.77 cm and length 35.38 cm. the composition of the bronze is 79.42 percent cu and 20.58 percent sn and the densities of cu and sn are 8.94 g/cm3 and 7.31 g/cm3, respectively. what assumption should you make in this calculation? enter your answer in scientific notation.

Answer 1

For this problem, we have to assume that the bronze alloy is at room temperature such that the densities remain constant. By doing so, we can use the information of densities.The volume of the bronze alloy is

V = πr²h = π(3.77 cm)²(35.38 cm) = 1,579.76 cm³

The solution for mass is as follows:
Mass = (0.7942)(8.94 g/cm³)(1,579.76 cm³) + (0.2058)(7.31 g/cm³)(1,579.76 cm³)
Mass = 13,593.12 g