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?

Respuesta :

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