A balloon of diameter 21 meter weight 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 kg `m^(-3)` . (Given : R=0.082 L atm `K^(-1)mol^(-1)`)
A
4952.42 kg
B
4932.42 kg
C
493.242 kg
D
none of these
Text Solution
Verified by Experts
The correct Answer is:
b
(b) Mass of balloon `=100kg=10xx10^(4)g` Volume of balloon `=(4)/(3)pi r^(3)` `=(4)/(3)xx(22)/(7)xx((21)/(2))^(3)` `=4851m^(3)=4851xx10^(3)L` Mass of gas (He in balloon `=(PVM)/(RT)` `=(1xx4851xx10^(3)xx4)/(0.082xx300)` `=78.878xx10^(4)` `:.` Total mass of gas and balloon ` =78.878xx10^(4)+10xx10^(4)` `=88.878xx10^(4) g " or " 888.78 kg` Mass of air displaced `=1.2xx4851` `=5821.2kg` `:.` Pay load =mass of air displaced - mass of (balloon +gas) `:.` Pay load `=5821.2-888.78=4932.42kg`
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A ballon of diameter 20 metre weighs 100 kg Calculate its pay-load if its is filled with He at 1.0 atm and 27^(@)C Density of air is 1.2 kg,^(-3) [ R =0.082 dm^(3) atm K^(-1) mo1^(-1)] .
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