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Solved: Bronze is an alloy made of copper (Cu) and tin
Chapter 1, Problem 1.100(choose chapter or problem)
Bronze is an alloy made of copper (Cu) and tin (Sn). Calculate the mass of a bronze cylinder of radius 6.44 cm and length 44.37 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 \(\mathrm{g} / \mathrm{cm}^{3}\) and 7.31 \(\mathrm{g} / \mathrm{cm}^{3}\), respectively. What assumption should you make in this calculation?
Questions & Answers
QUESTION:
Bronze is an alloy made of copper (Cu) and tin (Sn). Calculate the mass of a bronze cylinder of radius 6.44 cm and length 44.37 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 \(\mathrm{g} / \mathrm{cm}^{3}\) and 7.31 \(\mathrm{g} / \mathrm{cm}^{3}\), respectively. What assumption should you make in this calculation?
ANSWER:Step 1 of 3:
The goal of the problem is to calculate the mass of a bronze cylinder
Given:
The composition of the bronze = 79.42 % Cu and 20.58 % Sn
The density of Cu = \(8.94 \mathrm{~g} / \mathrm{cm}^{3}\)
The density of Sn = \(7.31 \mathrm{~g} / \mathrm{cm}^{3}\)
Radius of cylinder = 6.44 cm
Length of cylinder = 44.37 cm.
We know the formula to calculate volume:
\(\begin{aligned} V & =\pi r^{2} l \\ & =\pi \times(6.44)^{2} \times 44.37 \\ & =5783.43 \mathrm{~cm}^{3} \end{aligned}\)
