*69. a shiny, gold - colored bar of metal weighing 57.3 g has a volume of 4.7 cm³. is the bar of metal pure…
*69. a shiny, gold - colored bar of metal weighing 57.3 g has a volume of 4.7 cm³. is the bar of metal pure gold?
Answer
Explanation:
Step1: Recall density formula
Density $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Substitute given values
Given $m = 57.3\ g$ and $V=4.7\ cm^{3}$, then $\rho=\frac{57.3\ g}{4.7\ cm^{3}}\approx12.2\ g/cm^{3}$.
Step3: Compare with gold density
The density of pure gold is approximately $19.3\ g/cm^{3}$. Since $12.2\ g/cm^{3}\neq19.3\ g/cm^{3}$, the metal is not pure gold.
Answer:
No, the bar of metal is not pure gold.