Q.

Assume that for every increase in height of 1 m, pressure decreases by 10 mmHg. Initially an experimental air balloon of maximum 200 L capacity has 150 L air at 1 atm atsea-level. At what height, the balloon is expected to burst?

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a

15 m above sea-level

b

19 m above sea-Ievel

c

10 m above sea-level

d

20 m above sea-level

answer is D.

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Detailed Solution

Balloon will burst when volume > 200 L At this point p2=p1V1V=1×150200= 0.75 atm = 570 mmDecrease in pressure = 760 - 570 = 190 mmHeight up ro which it can resist bursting =190mm10mm/m=19mThus, at a height above 19 m, balloon will burst.
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