Curious - question about a pressure vessel and tempreature

[CybrSlydr]

I have no intention of designing, building or experimenting with this, so no worries about safety. I'm just curious and did a Google search for Physics Forums and this was the first to come up.

I was wondering, when pressure decreases so does temperature, right? So, were we to have a pop (soda for you heathens :D ) can, how much pressure would it have to have on the inside so that when the pressure was released, it would cool it down to around 40 degrees? Insta-cool beverages! Assume it's already at room temperature (70 degrees) and normal outside pressure (1atm).

I'm not really concerned with feasibility or practicality - just curious about the factuality of what would be required.

I did do a search already but the only thread that asked this kind of question was closed.

 

[CWatters]

Density vs temperature chart for water...

http://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.html

Draw a horizontal line on the chart at 1000kg/m^3. This line would represent fixed mass in a fixed volume (eg constant density). Then note how a 10-12C change in temperature equates to a pressure change of about 25 bar/360psi.

 

[CybrSlydr]

Oh wow, that means a LOT of pressure will be needed.