Compressed Air Cooler

Since expanding gas cools, could that be used to cool a normal cooler?
It could either have a build-in air tank or accept air cartridges.
Advantages:

• It could use a thermostat to maintain a constant temperature.
• No water mess.
• Not excessively cold like dry ice.
• If it had a tank it could be recharged at most gas stations.
• The "charge" would remain good for quite a while when not used.
  

Disadvantages:

• After refilling the tank it would have to sit for a while to cool off.
• The tank may have to be too heavy or bulky to be useful (Does anyone know the numbers to do the math for this?)

What do you think?