Question

$5.74g$ of a substance has density $4.8gc{m}^{-3}$.Keeping significant figures in view,calculate its volume?

• A. $1.2c{m}^3$
• B. $2c{m}^3$
• C. $22c{m}^3$
• D. $1.22c{m}^3$

Answer 1

The correct option is A $1.2c{m}^3$

Mass of substance $m=5.74g$
Density of substance $\rho =4.8g/c{m}^3$
So, volume of substance $V=\frac{m}{\rho }$
$⟹V=\frac{5.74}{4.8}=1.196c{m}^3$
Since value of mass has 3 significant figures and density has 2 significant figures. Thus value of volume must also have only 2 significant figures.
$⟹V=1.2c{m}^3$