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» <html><body><p>4952.42 kg <br/>4932.42 kg <br/>493.242 kg <br/>none of these</p>Solution :Vol. of ballon `= 4/3 pi <a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>^ = 4851 ` litre. <br/>wt. of balloon = `10^5` gm. <br/>wt of the in balloon = `(pvm)/(RT) = 78.87 xx 10^4 gm`. <br/>Total wt of <a href="https://interviewquestions.tuteehub.com/tag/gas-1003521" style="font-weight:bold;" target="_blank" title="Click to know more about GAS">GAS</a> and balloon = `88.87 xx 10^4 gm` <br/>wt of <a href="https://interviewquestions.tuteehub.com/tag/air-852233" style="font-weight:bold;" target="_blank" title="Click to know more about AIR">AIR</a> <a href="https://interviewquestions.tuteehub.com/tag/displaced-440680" style="font-weight:bold;" target="_blank" title="Click to know more about DISPLACED">DISPLACED</a> = `1.2 xx 4851 = 5821.2 kg`. <br/><a href="https://interviewquestions.tuteehub.com/tag/payload-597674" style="font-weight:bold;" target="_blank" title="Click to know more about PAYLOAD">PAYLOAD</a> = `W_(("air displaced")("Balloon + gas"))` <br/>`= 5821.2 - 888.7 = 4932.42 kg .</body></html>