A cylindrical balloon of 21 cm diameter is to be filled up with H_2 at NTP from a cylinder containing the gas at 20 atm " at "27^(@)C. The cylinder can hold 2.82 litre of water at NTP. Calculate the number of balloons that can be filled up.

A cylindrical balloon of 21 cm diameter is to be filled up with H_2 at

1.	A cylindrical balloon of 21 cm diameter is to be filled up with H_2 at NTP from a cylinder containing the gas at 20 atm " at "27^(@)C. The cylinder can hold 2.82 litre of water at NTP. Calculate the number of balloons that can be filled up.
Answer» <html><body><p></p>Solution :Volume of 1 balloon which has to be filled `=<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>"/"3pi (21"/"2)^(3)` <br/> `=4851 mL=4.851` litre <br/> <a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> n balloons be filled, then volume of `H_(2)` <a href="https://interviewquestions.tuteehub.com/tag/occupied-7262366" style="font-weight:bold;" target="_blank" title="Click to know more about OCCUPIED">OCCUPIED</a> by balloons `=4.851xxn` <br/> Also, cylinder will not be empty and it will <a href="https://interviewquestions.tuteehub.com/tag/occupy-584657" style="font-weight:bold;" target="_blank" title="Click to know more about OCCUPY">OCCUPY</a> volume of `H_(2)= 2.82` litre. <br/> Total volume occupied by `H_(2)" at "NTP=4.851xxn +2.82` litre <br/> At STP <br/> `P_(2)=1 " atm Available "H_(2)` <br/> `V_(1)=4.851xxn+2.82""P_(2)=20 atm` <br/> `T_(1)=273K""T_(2)=300K` <br/> `P_(1)V_(1)"/"T_(2)=P_(2)V_(2)"/"T_(2)""V_(2)=2.82` litre <br/> or `1xx(4.851n+2.82"/"273)=20xx2.82"/"300"":. n=10`</body></html>