Can I use bash aliases in a keyboard shortcut?

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http://askubuntu.com – Is it possible to use an alias within a custom shortcut? For example, suppose I have the alias alias cal="google-chrome --new-window calendar.google.com" Can I create a custom shortcut that binds "Ctrl+Alt+C" to "cal"? I have tried but it doesn't seem to work. Thanks. (HowTos)