A hot air balloon is a sphere of radius 8 m. The air inside is at a...

A hot air balloon is a sphere of radius 8 m. The air inside is at a temperature of 60°C. How large a mass can the balloon lift when the outside temperature is 20°C? (Assume air is an ideal gas, R = 8.314 J mole^–1K^-1, 1 atm. = 1.013×10⁵Pa; the membrane tension is 5 N m^–1.)

Options

A3034.2 N
B3044.2 N
C3054.2 N
D3064.2 N

Correct answer

B. 3044.2 N

Step-by-step solution

Correct Option is : (B)
3044.2 N

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