Question

read the passage and answer the following question(s). passage 1867 directions: the table below shows the densities of four substances. use the table to answer any questions that follow. 1 cm³ = 1 ml substance approximate density (g/cm³) silver 10.5 aluminum 2.70 cobalt 8.86 magnesium 1.74 the diagram below shows an unknown substance, z, that is weighed on a scale and then placed into a graduated cylinder with water. what is unknown substance z? a. aluminum b. cobalt c. magnesium

Explanation:

Step1: Calculate volume of substance Z

Volume of water displaced = Final volume - Initial volume. From the diagram, initial volume of water in the graduated - cylinder is 20 mL and final volume is 30 mL. So, $V = 30 - 20=10$ mL. Since $1$ cm³ = $1$ mL, $V = 10$ cm³.

Step2: Calculate density of substance Z

The mass of substance Z is 27 g. The density formula is $
ho=\frac{m}{V}$. Substituting $m = 27$ g and $V = 10$ cm³, we get $
ho=\frac{27}{10}=2.7$ g/cm³.

Step3: Identify the substance

Comparing the calculated density with the given densities in the table, the density of aluminum is 2.70 g/cm³.

Answer:

A. aluminum