An air adsorbing and sound absorbing structure with a first portion comprising a first material comprising an open-celled foam with an air-adsorbing material coupled to the foam, where the first portion has a first air adsorption capacity and a first density. There is a second portion fixed to or integral with the first portion, wherein the second portion comprises one or more of: a different material than the first material, a second air adsorption capacity that is different than the first air adsorption capacity, and a second density that is different than the first density.