Everytime I click on
install a webapp it asks me to enter my password. Is there a way to bypass this?
WebApps when installing use packagekit to "route" the request to aptdaemon and handle the installation request given the environment and specifics of it. It was planned to add a "passwordless installation" exception in aptdaemon on behalf of WebApps but it got put aside after some considerations.
WARNING NOT RECOMMENDED: Provided that you know what you are doing and that you are aware of the risks, you could try to tweak your aptdaemon config and add pkla/cfg files to your atpdaemon config that whitelists WebApps ("unity-webapps-*").