If you have a deodorant can, it is obvious that the gas leaving the can has cooled as it expands. However, is there also a change of temperature of the gas that remains within the canister?
My assumption is that it would also cool down, but by a lesser amount. My reasoning being that as the gas is released, there is now less gas remaining in the canister, so the pressure within the canister has reduced and the gas within the canister has expanded. However, as the change in pressure is less than that of the released gas, the change in temperature will also be less.
Is my assumption correct?