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» Solution :Volume of 1 balloon which has to be filled `=4"/"3pi (21"/"2)^(3)` `=4851 mL=4.851` litre LET n balloons be filled, then volume of `H_(2)` OCCUPIED by balloons `=4.851xxn` Also, cylinder will not be empty and it will OCCUPY volume of `H_(2)= 2.82` litre. Total volume occupied by `H_(2)" at "NTP=4.851xxn +2.82` litre At STP `P_(2)=1 " atm Available "H_(2)` `V_(1)=4.851xxn+2.82""P_(2)=20 atm` `T_(1)=273K""T_(2)=300K` `P_(1)V_(1)"/"T_(2)=P_(2)V_(2)"/"T_(2)""V_(2)=2.82` litre or `1xx(4.851n+2.82"/"273)=20xx2.82"/"300"":. n=10`