Question

a sample made from one of the metals in the table above is placed into a graduated cylinder with 25 ml of water. after the sample is fully submerged, the water level rises to 31 ml. you dry the sample off and place it on a digital scale, which reads 53 g. which metal is it most likely made of?

metal	aluminum	copper	platinum	silver

Explanation:

Step1: Calculate the volume of the sample

The initial volume of water is $V_1 = 25\ mL$, and the final volume after sub - merging the sample is $V_2=31\ mL$. The volume of the sample $V$ is the difference in water levels, so $V=V_2 - V_1=31 - 25=6\ mL$. Since $1\ mL = 1\ cm^3$, $V = 6\ cm^3$.

Step2: Calculate the density of the sample

The mass of the sample $m = 53\ g$. The density formula is $
ho=\frac{m}{V}$. Substitute $m = 53\ g$ and $V = 6\ cm^3$ into the formula, we get $
ho=\frac{53\ g}{6\ cm^3}\approx8.83\ g/cm^3$.

Step3: Compare with given densities

Comparing the calculated density $
ho\approx8.83\ g/cm^3$ with the densities in the table: density of silver is $10.5\ g/cm^3$, density of platinum is $21.4\ g/cm^3$, density of copper is $8.9\ g/cm^3$, density of aluminum is $2.7\ g/cm^3$. The calculated density is closest to the density of copper.

Answer:

Copper