It took 45 kg of hydrogen gas to fill a 500m³ balloon.

It took 45 kg of hydrogen gas to fill a 500m³ balloon. Determine the density of the hydrogen in the ball and compare it with the density of the water.

Initial data: V (volume of the balloon) = 500 m ^ 3, m (mass of hydrogen, which was needed to fill the balloon) = 45 kg.

Constants: ρ2 (water density) = 1000 kg / m ^ 3.

1) Let’s calculate the density of hydrogen:

ρ1 = m / V = 45/500 = 0.09 kg / m ^ 3.

2) Compare the density of hydrogen with the density of water:

k = ρ2 / ρ1 = 1000 / 0.09 = 11 111 p.

Answer: The density of hydrogen in this balloon is 0.09 kg / m ^ 3, which is 11,111 times less than the density of water.