The passenger airship Hindenberg exploded in 1937 while attempting to dock in New Jersey. Its 16 hydrogen filled cells were filled with a total of 200,000 cubic meters of hydrogen gas. Given a density of 0.0824 grams per liter, how many kilograms of hydrogen gas was used to fill the airship?

16480 Kg

Explanation:

From the question given above, the following data were obtained:

Volume of Hydrogen = 200000 m³

Density of Hydrogen = 0.0824 g/L

Mass of Hydrogen (in Kg) =?

Next, we shall convert 200000 m³ to L. This can be obtained as follow:

1 m³ = 1000 L

Therefore,

200000 m³ = 200000 m³ × 1000 L / 1 m³

200000 m³ = 2×10⁸ L

Thus, 200000 m³ is equivalent to 2×10⁸ L.

Next, we shall determine the mass of Hydrogen. This can be obtained as follow:

Volume of Hydrogen = 2×10⁸ L

Density of Hydrogen = 0.0824 g/L

Mass of Hydrogen =?

Density = mass /volume

0.0824 = mass of Hydrogen / 2×10⁸

Cross multiply

Mass of Hydrogen = 0.0824 × 2×10⁸

Mass of Hydrogen = 16480000 g

Finally, we shall convert 16480000 g to kg in order to obtain the desired result. This can be obtained as follow:

1000 g = 1 kg

Therefore,

16480000 g = 16480000 g × 1 kg / 1000 g

16480000 g = 16480 Kg

Thus, the mass of Hydrogen used to fill the airship was 16480 Kg

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