Question

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.

Answer 1

Hey There!:

Density = mass / volume

Density of helium in the blimp = 0.1786 kg/m³

Volume of helium in the blimp = 6.28 x 10⁹ mL

converting the volume in m³ :

1 m³ -------------------------------- 1 x 10⁻⁶ m³

Volume( m³ ) -------------------- 6.28 x 10⁹

Volume ( m³ ) = ( 6.28 x 10⁹ ) x 1 / ( 1 x 10⁻⁶ )

Volume ( m³ ) = ( 6.28 x 10⁹ ) / ( 1 x 10⁻⁶ )

Volume ( m³ ) = 6280 m³

Therefore:

D = m / V

0.1786 = m / 6280

m = 0.1786 x 6280

m = 1121.608 g

converting in Kg :

1 kg ------------------ 1000 g

?? --------------------- 1121.608 g

mass = 1121.608 x 1 / 10000

mass = 1121.608 / 10000

mass = 1.12 x 10⁶ g

Hope that helps!