the mass of a solid substance is 21.1164 g. if the volume of the solid substance is 19.9 cm³, calculate the…
the mass of a solid substance is 21.1164 g. if the volume of the solid substance is 19.9 cm³, calculate the density of the substance with the correct number of significant digits.\na 11.3 g/cm³\nb 115 g/cm³\nc 1.06 g/cm³\nd 420.2 g/cm³
Answer
Explanation:
Step1: Recall density formula
The formula for density $\rho$ is $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Substitute values
Given $m = 21.1164\ g$ and $V=19.9\ cm^{3}$, then $\rho=\frac{21.1164}{19.9}\ g/cm^{3}$.
Step3: Calculate density
$\rho=\frac{21.1164}{19.9}\approx1.0611256\ g/cm^{3}$.
Step4: Round to correct significant - digits
The mass has 6 significant digits and the volume has 3 significant digits. When dividing, the result should be rounded to 3 significant digits. So $\rho\approx1.06\ g/cm^{3}$.
Answer:
C. $1.06\ g/cm^{3}$