Question

a spherical balloon of 21 CM diameter is to be filled up with hydrogen at ntp from a cylinder containig gas at 20atm 27c cylinder2.82 letter of the number of that can be filled up

Answer 1

Diameter of balloon(d)=21cm radius(r)=d/2              =21/2cm Volume of balloon(v)=4/3×22/7r^3                                   =4851ml=4851/1000 =4.851litre Here V1=2.82litre P1=20atm T1=27°c=300k At NTP P2=1atm T2=273k V2=? we have  P1V1/T1=P2V2/T2 V2=P1V1T2/P2T1     =51.32litre For filling the balloon of hydrogen=51.32-2.82                 =48.5litre Number of balloon required=48.5/4.85                =10