Question

to On the surface of the earth at 1 atm pressure, a balloon folled
with the gas occupies sooml. 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 1000m rise
of height is :-​

Answer 1

The change in pressure is 126.67 mmHg

Step by step explanation:

From the given,

The volume is 5/6 of its maximum capacity.

Occupied volume of hydrogen gas = 500 ml

Initial volume = 500ml

Pressure = 1 atm = 760mm Hg.

$\frac{5}{6}\times\,C=500$

$C=\frac{500\times6}{5}=600$

Final volume = 600 ml

$P_{1}V_{1}=P_{2}V_{2}$

$760\times500=P_{2}\times\,600$

$P_{2}=\frac{760\times\,500}{600}=633.33mm$

Change in pressure = Initial pressure - Final pressure

                                 = 760 - 633.33 = 126.67 mm Hg

Therefore, The change in pressure is 126.67 mmHg