The volume of helium in a blimp is 6.28 \times 10^{9} millilitres. The density of helium in the blimp is 0.1786. Then the mass of the helium in the blimp is 1,120 kg
Answer: Option A
Explanation:
The ratio of amount of matter (mass) an object has and its volume is defined as density. If an object has more amount of matter, then it has more density. The formula for density is,
[tex]\text { Density }=\frac{\text { mass }}{\text { volume }}[/tex]
Given data,
In blimp, helium’s volume = [tex]6.28 \times 10^{9} \mathrm{ml}[/tex]
Helium’s density =[tex]0.1786 \frac{k g}{m^{3}}[/tex]
As per conversion factor, we know that
[tex]1 \mathrm{mm}^{3}=10^{-9} \mathrm{m}^{3}[/tex]
So, Helium’s volume will be [tex]6.28 m^{3}[/tex]
Rearranging the formula,
[tex]\text { mass }=\text { Density } \times \text { volume }[/tex]
[tex]=0.1786 \frac{\mathrm{kg}}{\mathrm{m}^{3}} \times 6.28 \mathrm{m}^{3}[/tex]
[tex]= 1120 \mathrm{kg} \text { is the Answer }[/tex]
