Firefox shortcut to open a particular account container
According to the Multi-Account Container plugin page, you can use Ctrl + . to open the panel. Then simply press the down arrow (or tab) and enter.
Ctrl + . (period)
keyboard shortcut is available to open the containers panel. You can then use tab and the enter keys to open new container tabs.
After Ctrl + . you can also use the numeric keys in order to select a container from the list. (Thanks cyberalex)
It doesn't seem to support opening a specific container with a designated shortcut.
As of version 7 of the Containers extension, ctrl+shift+1-9 works without any further add-on. From the release notes:
Set shortcuts in the add-on preferences panel:
Ctrl + Shift + {Num}
Which containers correspond to which number can be configured in the add-on preferences.
As mentioned in other answers, ctrl+., tab also works.
On MacOS it's cmd+shift+{num}
I use https://addons.mozilla.org/en-US/firefox/addon/easy-container-shortcuts/
AFAIK, there are no firefox built-in shortcuts