At a festival, spherical balloons with a radius of 340. 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. 3.00 kg 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: 1.009 J /g•°C
- Density of air at 100 °C: 0.946 kg/m³
- Density of butane at 100 °C: 1.898 kg/m³
- Formation enthalpy of butane at 25 °C: -125.7 kJ /mol