At a festival, spherical balloons with a radius of


110.cm


are to be inflated with hot air and released. The air at the festival will have a temperature of


25°C


and must be heated to


100°C


to make the balloons float.


3.00kg


of butane


C4H10


fuel are available to be burned to heat the air. Calculate the maximum number of balloons that can be inflated with hot air.


Here are some data you may find useful:


Specific heat capacity of air:

1.009J·g°C


Density of air at

100°C


:

0.946kgm3


Density of butane at

100°C


:

1.898kgm3


Formation enthalpy of butane at

25°C


: