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 balloon of diameter 21 meter weight 100 kg. Calculate its pay-load,

1.	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))
Answer» 4952.42 kg 4932.42 kg 493.242 kg none of these Solution :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 .