An additive cartridge for dispersing an additive within a filter housing is provided. The additive cartridge includes an additive cartridge housing having a peripheral wall, the additive cartridge housing defining first interior area and a second interior area being divided by a first wall. A first unidirectional fluid path is disposed adjacent the second end, the first fluid path defining a flow path from the second interior area. A first biasing member being made from a shape-memory alloy disposed in the second interior area adjacent the first end, the shape memory alloy moving between a first position and a second position in response to a change in temperature. A first piston member is movably disposed within the second interior area and coupled to the first biasing member, the first piston member defining a dispensing chamber within the second interior area.