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A balloon of diameter 21 meter weight 10...

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 fair is 1.2 `kg m^(-3)` (Given : R = 0.0821 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
Vol. of ballon `= 4/3 pi r^ = 4851 ` litre.
wt. of balloon = `10^5` gm.
wt of the in balloon = `(pvm)/(RT) = 78.87 xx 10^4 gm`.
Total wt of gas and balloon = `88.87 xx 10^4 gm`
wt of air displaced = `1.2 xx 4851 = 5821.2 kg`.
Payload = `W_(("air displaced")("Balloon + gas"))`
`= 5821.2 - 888.7 = 4932.42 kg .
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