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: ?125.7kJmol