It took 45 kg of hydrogen gas to fill a 500 m3 balloon. Determine the density of the hydrogen in the ball
It took 45 kg of hydrogen gas to fill a 500 m3 balloon. Determine the density of the hydrogen in the ball and compare it with the density of the water.
To determine the density of hydrogen ρ, with a mass of m = 45 kg, required to fill a balloon occupying a volume of V = 500 m³, we will use the definition of this concept as the mass of a substance in a unit volume: ρ = m / V. Let’s substitute the values of physical quantities in the formula and make calculations to determine the density of hydrogen in the ball ρ = 45: 500 = 0.09 kg / m³.
We find the density of water in the reference tables: ρ (Н₂О) = 1000 kg / m³. Comparing it with the density of hydrogen, we get that ρ (Н₂О): ρ = 1000: 0.09 = 11111 (times).
Answer: the density of hydrogen is 0.09 kg / m³, it is 11111 times less than the density of water.