Help! How Do I Get Soap Taste Out of My Thermal Carafe?

I have a problem (another one!) with the thermal carafe I use every morning for my coffee. In an admirable effort to clean out the bitter, acrid taste of old coffee that tends to build up over time, my husband washed it last week with Mrs. Meyer's dish soap.

The problem? We cannot get the smell of the soap out of the carafe, and now it seeps into our coffee too! I am tired of drinking Mrs. Meyer's-flavored coffee — can anyone help?

We have tried all of the obvious solutions. Washed again, rinsed, rinsed, rinsed... Rinsed some more. We have scrubbed it out thoroughly with a bottle brush.

Have you ever had this problem, this persistence of dish soap taste? If so, how did you fix it? Any tips?

Related: Looking For: Reliable and Classy Thermal Carafe

(Image: Faith Durand)