Question

A perfectly elastic balloon of radius 20 cm was filled with hydrogen gas at sea level.Find the diameter of the balloon when it is raised to a height where pressure is 0.5 atmosphere.(Asumming no change of temperature and pressure at sea level)

Answer 1

Volume of balloon = 4.851 L (as calculate above)

Let no. of balloon to be filled n

∴ Total volume occupied by n balloons = 4.851 * n

Volume of H2 present in cylinder = 2.82 L (given)

∴ Total volume of H2 at NTP = (4.851n + .82)L

P1 = 1 atm P2 = 20 atm

V1 = 4.85 * n + 2.82 L V2 = 2.82 L

T1 = 273 K

P1V1/T1 = P2V2/T2

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

∴n = 48.504/4.851 = 10

Hope you got it