Hot air balloons float by heating the air inside an inflatable compartment. Consider such a balloon which has an inflatable compartment of maximum volume 2755 m3 and a basket with passengers of total mass 280 kg. a) How hot, in degrees Celsius, would the air inside the balloon have to get in order for the balloon to lift off the ground? Assume the molar mass of air is 28.97 g/mol and its density is 1.20 kg/m3.  b)When the balloon reaches the highest point of its flight (around 2000 m), the air pressure has dropped to 80% of the pressure at ground level, and the density has dropped to 85%. What temperature, in degrees Celsius, must the air in the balloon be to keep it floating at this altitude?

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Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.