Question

1. a shiny, gold - colored bar of metal weighing 57.3 grams has a volume of 4.7 cm³. is the bar of metal pure gold? explain your answer. (gold has a density of 19 g/cm³)

Explanation:

Step1: Recall density formula

Density formula is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume.

Step2: Calculate density of the metal bar

Given $m = 57.3$ g and $V = 4.7$ $cm^3$. Substitute into the formula: $
ho=\frac{57.3}{4.7}\approx12.19$ $g/cm^3$.

Step3: Compare with gold's density

Gold's density is $19$ $g/cm^3$. Since $12.19
eq19$, the metal bar is not pure gold.

Answer:

The metal bar is not pure gold because its calculated density ($\approx12.19$ $g/cm^3$) is not equal to gold's density ($19$ $g/cm^3$).