Question

a student finds an object with a mass of 64.54 g and a volume of 14 cm³. gold has a density of 19.32 g/cm³. how can he know if its gold? heat the object to see if it melts, because gold has a low melting point. calculate the objects density by dividing its mass by its volume and compare it to 19.32 g/cm³. check if the object is shiny, because gold always has a bright, yellow shine. rub the object on a ceramic plate to see if it leaves a yellow streak, because all metals do this.

Explanation:

Step1: Recall density formula

Density ($
ho$) is given by $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Calculate density of the object

Given $m = 64.54$ g and $V=14$ cm³. So, $
ho=\frac{64.54}{14}\approx4.61$ g/cm³.

Step3: Compare with gold density

The density of gold is 19.32 g/cm³. Since $4.61$ g/cm³ $
eq$ 19.32 g/cm³, the object is not gold.

Answer:

The object is not gold because its calculated density (approximately 4.61 g/cm³) is different from the density of gold (19.32 g/cm³).