A manufacturing company tests a solid cylindrical metal rod produced in one of its…

CHEMISTRY · Multi-part · CBSE · Chemistry · The Amazing World of Solutes, Solvents, and Solutions · The Amazing World of Solutes, Solvents, and Solutions

Problem

A manufacturing company tests a solid cylindrical metal rod produced in one of its factories. The rod has a measured length of 30.0 cm and a diameter of 1.50 cm. When placed on a laboratory balance, its mass is found to be 0.470 kg. Typical tabulated densities for common engineering metals are: copper ≈ 8.9×103 kg m−38.9\times10^{3}\,\text{kg}\,\text{m}^{-3} and aluminum ≈ 2.7×103 kg m−32.7\times10^{3}\,\text{kg}\,\text{m}^{-3}. (a) Calculate the volume of the metal rod in m3\text{m}^3. (b) Using the measured mass, determine the density of the rod in kg m−3\text{kg}\,\text{m}^{-3}, expressing your answer to three significant figures. (c) Based on your calculated value, identify which of the two candidate metals listed is the more likely material of the rod and briefly justify your choice.

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