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21. a student finds a shiny piece of metal that she thinks is aluminum.…

Question

  1. 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?

Explanation:

Step1: Recall density formula

Density ($
ho$) is given by $
ho=\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, $
ho=\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 $2.5\ g/cm^{3}
eq2.7\ g/cm^{3}$, the metal is not aluminum.

Answer:

The density is approximately $2.5\ g/cm^{3}$ and the metal is not aluminum.