Question

silver has a density of 10.5 g/cm³ and gold has a density of 19.3 g/cm³. which would have a greater mass, 5 cm³ of silver or 5 cm³ of gold?

Explanation:

Step1: Recall the density formula

The formula for density is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We can rearrange it to find mass: $m=
ho\times V$.

Step2: Calculate mass of silver

Given $
ho_{silver} = 10.5\ g/cm^3$ and $V = 5\ cm^3$. Substitute into the mass formula: $m_{silver}=10.5\times5 = 52.5\ g$.

Step3: Calculate mass of gold

Given $
ho_{gold} = 19.3\ g/cm^3$ and $V = 5\ cm^3$. Substitute into the mass formula: $m_{gold}=19.3\times5 = 96.5\ g$.

Step4: Compare the masses

Compare $m_{silver}=52.5\ g$ and $m_{gold}=96.5\ g$. Since $96.5>52.5$, gold has a greater mass.

Answer:

5 cm³ of gold has a greater mass.