Carbonation and temperature

[InTheBasement]

When I carbonate, I do so at cold temperatures since CO2 dissolves in liquids better at cold temps. But if I am carbonating a stout that will be served at a warmer temperature , do I follow the carbonation chart for the cold temperature and then bottle (from the keg) at cold? I assume that we are considering volumes of CO2 so if I bottle cold and then serve warm, the carbonation will be proper. Am I correct?

For instance, if I carbonate my imperial stout at 30 degrees F at 4 PSI and bottle it at that temperature. When I serve the imperial stout at 45 degrees (which would need 11 PSI to carbonate) will my beer be properly carbonated when I serve it?

 

[GilSwillBasementBrews]

Yes. Whatever the pressure is when chilled, after warming will be the same pressure at that temp.
Here is a chart that shows the levels of co2 resulting from x-amount of psi per y°-temperature.
View attachment ImageUploadedByHome Brew1501262203.042037.jpg