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. (Hint: 1,000 L = 1 cubic meter.)

Answer 1

Density of a substance is defined as the mass of that substance per unit volume of it.

$Density = \frac{Mass}{Volume}$

Given the density of Helium = 0.1786$\frac{kg}{m^{3}}$

Volume of Helium = $6.28 * 10^{9} mL$

Converting the volume from mL to $m^{3}$:

$6.28*10^{9}mL * \frac{1L}{1000mL}*\frac{1m^{3}}{1000L} = 6280m^{3}$

Finding mass of Helium from density and volume:

$6280m^{3}*0.1786\frac{kg}{m^{3}} * \frac{1000g}{1kg} = 1.12 * 10^{6} g$