Its quite simple, you can just use Chrome’s incognito; pages that you view in this window won’t appear in your browser history or search history, and they won’t leave other traces, like cookies, on your computer after you close the incognito window. Any files that you download or bookmarks that you create will be preserved, however.
Using this you can open second accounts in Google Mail, Facebook or Twitter or anyother program application that you use that only allow you to log in once.
Click – New Incognito window
There you are done.
For more information click Google chrome and privacy
Hope this helps