Assume that for every increase in height of $1 m$ , pressure decreases by $10$ mm of $H g$ . Initially, an experimental air balloon of maximum $200 L$ capacity has $150 L$ air at $1 a t m$ at sea-level. At what height, the balloon is expected to burst?

15 m

above sea-level

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19 m

above sea-level

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10 m

above sea-level

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20 m

above sea-level

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Solution

The correct option is A $15 m$ above sea-level
Let's assume that at $15 m$ above sea level ballon will burst, to justify it calculate for volume of air in ballon as it's capacity is $200 L$
So at constant temp
$P_{1} V_{1} = P_{2} V_{2}$
$760 \times 150 = (760 - 150) \times V_{2}$ as the pressure will decrease upto $150 m m H g$ at $15 m$ height.
$V_{2} = 207.27 L$
means our assumption was right, it will burst at $15 m$ height above sea level.

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

Assume that for every increase in height of $1 m$ , pressure decreases by $10$ mm of $H g$ . Initially, an experimental air balloon of maximum $200 L$ capacity has $150 L$ air at $1 a t m$ at sea-level. At what height, the balloon is expected to burst?