# Pressure in deodorant can

Pressure in a deodorant can is greater than the surrounding pressure but still the can is in equilibrium with the surrounding . Why does this happen. If we apply $F = PA$ then $P_{in}A= P_{atm}A$ and since both the areas are equal then both pressures must also be equal.

Think of an inflated balloon. Pressure inside the balloon is greater than atmospheric pressure. Entire system is in mechanical equilibrium because of tension provided by balloon surface. If you keep inflating the balloon, pressure inside the balloon keeps increasing, and so does tension in balloon surface, until it can take no more and bursts, thus equalising pressure. If the deodorant can does not burst, it is because the can wall is strong enough to tolerate the stresses generated by difference in pressure between inside and outside of can. So $P_{in}A=P_{atm}A$ is incorrect, because we have not taken into account forces due to can walls.