Will this adapter fit into a Mophie case designed for the iPhone 4?!

I need a cable that will allow me to charge my 5S with my old iPhone 4/4S Mophie charging case. Need to check that it will fit the case before ordering! Thanks!!

Lightning to 30-pin Adapter (0.2m)

Lightning to 30-pin Adapter (0.2m)

Product No Longer Available

No Answers have been submitted