Most recreational scuba tank specifications state the amount of air and the maximum pressure. They do not seem to state the temperature of the air in it which seems too important to be left out.
The place where I fill the tank is at 80 deg F. The ambient temperature at dive location is usually around 50 deg F.
Following the general gas law, I could have the tank filled at the diving location with air at 50 deg F, and have much more (80/50 = 1.6 times) air available to me under water, than filling it at 70 deg F. Conversely, it wouldn't be safe if I fill the tank at 50 deg F to the maximum pressure and take the tank out to a dive spot at 70 deg F. Is my understanding correct?
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