21. a student finds a shiny piece of metal that she thinks is aluminum. in the lab, she determines that the…
21. a student finds a shiny piece of metal that she thinks is aluminum. in the lab, she determines that the metal has a volume of 245 cm³ and a mass of 612 g. calculate the density. is the metal aluminum?
Answer
Explanation:
Step1: Recall density formula
Density ($\rho$) is given by $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Substitute values
We have $m = 612\ g$ and $V=245\ cm^{3}$. So, $\rho=\frac{612\ g}{245\ cm^{3}}\approx 2.5\ g/cm^{3}$.
Step3: Compare with aluminum density
The density of aluminum is approximately $2.7\ g/cm^{3}$. Since $2.5\ g/cm^{3}\neq2.7\ g/cm^{3}$, the metal is not aluminum.
Answer:
The density is approximately $2.5\ g/cm^{3}$ and the metal is not aluminum.