Well it looks like me and vihar did the calculation at the same time, and he is right on with the tension.
Key E
0.009 - 13.1lbs
0.013 - 27.4lbs
D#
0.009 - 11.7lbs
0.013 - 24.4lbs
The frequency of a vibrating string is

So rearranging to solve for tension yields:
T= 4f^2ml
So it has a squared frequency relationship. To double the tension, the frequency must quadruple.
I wrote an article on custom string gauge design a while back. It has an Excel spreadsheet for doing the calculations if you are interested in solving for your own needs.
Custom String Calculations