Gaseous StateHard
Question
On the surface of the earth at 1 atm pressure, a balloon filled with H2 gas occupies 500 mL. This volume is 5/6 of its maximum capacity. The balloon is left in air. It starts rising. The height above which the balloon will burst if temperature of the atmosphere remains constant and the pressure decreases 1 mm for every 100 cm rise of height is
Options
A.120 m
B.136.67 m
C.126.67 m
D.100 m
Solution
Max capacity of balloon = 600 ml
P1V1 = P2V2
500 × 1 = 600 × P2
P2 =
×760 mm
= 633 mm
Height above which balloon will burst = (760 - 633) × 100 cm
= 127 × 100 cm
= 127 m
P1V1 = P2V2
500 × 1 = 600 × P2
P2 =
×760 mm = 633 mm
Height above which balloon will burst = (760 - 633) × 100 cm
= 127 × 100 cm
= 127 m
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