A 15 m diameter spherical balloon is filled with air at a temperature of 60°C through a hole at the bottom of the balloon. Assume an outside atmospheric pressure of 1 atm and the average molecular mass of air is 29 g/mol. What is the mass of air contained within the balloon?

Question

Quizplus · Accepted Answer

To find the mass of air in the balloon, use the ideal gas law and the volume of a sphere. The volume V = (4/3)πr³, where r = 7.5 m. Convert temperature to Kelvin (60°C = 333 K) and use the ideal gas law PV = nRT to find the number of moles n. Then, multiply by the molar mass to find the mass. The calculations lead to approximately 1874 kg.

A 15 M Diameter Spherical Balloon Is Filled with Air