. A cylindrical balloon of 21 cm diameter is to be filled up


with H2 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.

Best Answer

Answer: Volume of 1 balloon which has to be filled = 4/3 π (21/2)3 = 4851 ml = 4.851 litre

 

Let n balloons be filled, then volume of H2 occupied by balloons = 4.851 × n

 

Also, cylinder will not be empty and it will occupy volume of H2 = 2.82 litre.

 

Total volume occupied by H2 at NTP = 4.851 × n + 2.82 litre

 

At STP

 

P2 = 1 atm Available H2

 

V1 = 4.851 × n + 2.82 P2 = 20 atm

 

T1 = 273K  T2 = 300K

 

V2 = 2.82 litre

 

P1V1 /T1= P2V2/T2

 

or 1 × (4.85n + 2.82)/273 = 20 × 2.82/300

 

n = 10

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