1ans: 3811.12 kg
A balloon of diameter 20 meter weighs 100 Kg.Calculate its pay load , if it is filled with He at 1.0 atm and 27 °C. Density of air is 1.2 Kgm-3. [R=0.082 dm3 atm K-1 mol-1 ]
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8 Answers
1let the person who has posted the question tell if my ans is right or wrong....
1why shall we waste his precious time ? i am sure he has better things to do in life(pun intended)
heres the solution:
radius of balloon (r) = 10m
volume of balloon (v) = 4/3pi r^3= 4190.5 m^3
mass of displaced air = 4190.5 * 1.2 = 5028.6 kg
moles of He(n) = (1.66 * 4190.5* 10^3) / ( 0.083 * 300)= 279.37 * 10^3 moles
mass of He = moles * atomic mass=1117.48 * 10^3 gm
mass of filled baloon = 100+1117.48 kg
pay load = mass of displaced air- mass of filled balloon
= 5028.6 - 1217.48 = 3811.12 kg
are u satisfied now dude???
1Weight of balloon =100 Kg =10*104 g
Volume of balloon=4/3 *pi*r3
= 4190*103 litre
Weight of gas(He) in balloon = PV/RT
= (1*4190*103*4)/(0.082*300) =68.13 * 10 4 g
Total weight of gas and balloon =78.13 *10 4 g
Weight of air displaced = 502.8 * 10 4 g
Pay Load =502.8 * 10 4 - 78.13 *10 4
= 424.67 *10 4 g
So check ur answers !!!