Question

Find the mass of a liquid for which the density is $200\text{kg/}{\text{m}}^3$. The volume of the liquid is $750\text{mL}$.​

• A. $150\text{g}$
• B. $250\text{g}$
• C. $200\text{g}$
• D. $10\text{g}$

Answer 1

The correct option is A $150\text{g}$

Given:
The density of the liquid, $\text{d}=200\text{kg/}{\text{m}}^3$
The volume of the liquid, $\text{V}=750\text{mL}$

$1\text{mL}=1{\text{cm}}^3$
$⟹$ the volume of the liquid, $\text{V}=750{\text{cm}}^3----\left(1\right)$

We also know that $1000\text{kg/}{\text{m}}^3=1\text{g/}{\text{cm}}^3$
$⟹$ the density of the liquid, $\text{d}=200\text{kg/}{\text{m}}^3=\frac{200}{1000}=$
$=0.2\text{g/}{\text{cm}}^3----\left(2\right)$

Therefore, the mass of the liquid can be found using the relation, $\text{m}=\text{d}\times \text{V}$
$⟹\text{m}=0.2\times 750=2\times 75=150\text{g}$