40° C !!!!!! That's 104° F. I don't think the charts go that high.
Aside from the typo, you have the pressure right. That is the set and forget pressure. If you hook up the CO2 and leave it, your beer should be properly carbonated in 5-7 days.
You can cut that by a couple days if you hook up the CO2 at around 30 psi and roll the keg back and forth for a couple minutes to get a bunch more CO2 back into solution. Some folks like to carbonate all the way with this method but getting the carbonation right is really tricky unless you get (or build) a keg pressure tester.

Instructions on building one are here,
http://www.hbd.org/carboy/kegpresstester.htm or you can buy one at Northern Brewer for about $15 (or $39 at Morebeer).
When you use one of these, you pressurize the keg to about 30 psi then disconnect the gas and roll it back and forth for a couple minutes. You the tip the keg back upright and check the pressure. You will need to do this several times as the pressure will only go up a few pounds each time. Once the measured pressure (after rolling several minutes) gets to about two pounds over your desired carbonation/serving pressure you are done. Just set the keg back in the kegerator and let it sit for 24 hours. This will allow that overpressure dissolve into the beer and let all the sediment you stirred up settle to the bottom. Then hook up the gas at your serving pressure and you are good to go. It will probably take another day or two for the pressure to fully balance out, but you will be close enough to drink.
Wayne