Toy balloons are filled with hydrogen gas, at standard temperature, from a 10.0-liter cylinder. the initial pressure of the gas in the cylinder is exactly 100 atm. assuming each balloon is filled to a volume of 1.0 liter at standard pressure, how many balloons could be filled?

To answer this item, we are to assume that the given gas behaves ideally such that it can follow one of the simplified ideal gas law as written below,

P₁V₁ = P₂V₂

where P is the pressure and V is the volume.

Substituting the known values, while V₂ is unknown,

(100 atm) (10 L) = (1 atm) (V₂)

The value of V₂ is calculated to be equal to 1000 L.

The number of balloons that can be filled is as calculated.

n = (1000 L) / (1 L / balloon)

n = 1000