Question

using density to identify a metal
use the information in the table to identify the metal
with a volume of 1.375 cm³
aluminum
zinc
chromium
nickel

Explanation:

Step1: Recall the density formula

Density formula is \(d=\frac{m}{V}\), where \(d\) is density, \(m\) is mass and \(V\) is volume.

Step2: Calculate the density of the unknown metal

Given \(V = 1.375\mathrm{cm}^3\). Let's check each metal:

• For aluminum: \(V=\frac{m}{d}=\frac{4.60\mathrm{g}}{2.70\mathrm{g/cm}^3}\approx1.70\mathrm{cm}^3\)
• For zinc: \(V=\frac{m}{d}=\frac{9.81\mathrm{g}}{7.13\mathrm{g/cm}^3}\approx1.375\mathrm{cm}^3\)
• For chromium: \(V=\frac{m}{d}=\frac{6.24\mathrm{g}}{7.18\mathrm{g/cm}^3}\approx0.87\mathrm{cm}^3\)
• For nickel: \(V=\frac{m}{d}=\frac{3.17\mathrm{g}}{8.90\mathrm{g/cm}^3}\approx0.36\mathrm{cm}^3\)

Answer:

zinc