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 at
sea-level. At what height, the balloon is expected to burst?

Balloon will burst when volume > 200 L

$\text{ At this point }{\mathrm{p}}_2=\frac{{\mathrm{p}}_1{\mathrm{V}}_1}{\mathrm{V}}=\frac{1\times 150}{200}$

= 0.75 atm = 570 mm

Decrease in pressure = 760 - 570 = 190 mm

Height up ro which it can resist bursting $=\frac{190\mathrm{mm}}{10\mathrm{mm}/\mathrm{m}}=19\mathrm{m}$

Thus, at a height above 19 m, balloon will burst.