the density of silver is 10.49 g/cm³. if a sample of silver has a volume of 0.2 m³, what is the mass of the…

Explanation:

Step1: Convert volume units

First, convert $0.2\ m^{3}$ to $cm^{3}$. Since $1\ m = 100\ cm$, then $1\ m^{3}=(100\ cm)^{3}=10^{6}\ cm^{3}$. So, $V = 0.2\ m^{3}=0.2\times10^{6}\ cm^{3}=2\times 10^{5}\ cm^{3}$.

Step2: Use density - mass - volume formula

The density formula is $\rho=\frac{m}{V}$, where $\rho$ is density, $m$ is mass and $V$ is volume. Rearranging for mass gives $m=\rho V$. Given $\rho = 10.49\ g/cm^{3}$ and $V = 2\times 10^{5}\ cm^{3}$, then $m=10.49\ g/cm^{3}\times2\times 10^{5}\ cm^{3}$.

Step3: Calculate the mass

$m = 10.49\times2\times 10^{5}\ g=2.098\times 10^{6}\ g$.

Answer:

$2.098\times 10^{6}$