Question

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

Answer 1

Answer:

Pressure inside (Pi) balloon is larger than outer pressure (Po) of atmosphere.

∴Pi−Po=R2σ,

where

σ = surfaace tension in membrane of balloon

R =radius of balloon.

Gas or air inside is perfect (considered)

∴PiV=nRTi

Answer 2

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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 mol e ^(-1) K^(-1), 1 atm. = 1.013 xx 10^5 Pa , the membrane tension is 5 Nm^(-1))

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