Cameron has a new hot air balloon that he is excited to show

Cameron has a new hot air balloon that he is excited to show his friends. It is a typical November day with a high of 20°C. He is going to take them on a scenic tour by climbing to an elevation of 2000 m. The balloon weighs 3400 kg and rises at a rate of 2.18 m/s. The air in the balloon (2800 m³) must be heated to 99°C to cause the balloon to rise. Heat is added at 100°C. Using your knowledge of thermodynamics, determine:

a) the heat required to climb to the required elevation (4 pts)

b) if this process is possible for the given conditions (4 pts)

Given: Cp (air) = 1 kJ/kg*K; air is an ideal gas; r(air) = 0.9486 kg/m³

^{Correct Answers:}

^{a) 216,000 kJ}

b) Not possible (give explanation)

Solution

216,000 kJ