The volume of helium in a blimp is 6.28 × 109 milliliters. the density of helium in the blimp is 0.1786 . find the mass of the helium in the blimp. (hint: 1,000 l = 1 cubic meter.)
a.
1,120 kg
b.
1.12 kg
c.
3.52 × 107 kg
d.
2,840 kg

1.12×10^6 Kg

Explanation:

Given volume = 6.28*10^9 mL

= 6.28*10^6 L (1)

Also, we are given specific density of helium = 0.1786

Specific density of helium = density of helium/density of water

0.1786 = density of helium/1000 Kg/m3

Density of helium = 0.1786*1000 Kg/m3

= 178.6 Kg/m3

Since 1000L = 1 m3

Density of helium =178.6/1000 Kg/L

Density of helium = 0.1786 Kg/L ...(2)

Hence,

Density = Mass/Volume

Mass = Density × Volume

Sub. Equation (1) and (2)

Mass = 6.28×10^6 ×0.1786 Kg

Mass = 1.12 ×10^6 Kg