No, your conversion of ambient heat to drying the zeolite and the inverse release of heat when adding water; are both less than perfectly efficient. Entropy gro

No, your conversion of ambient heat to drying the zeolite and the inverse release of heat when adding water; are both less than perfectly efficient. Entropy grows at each step. The retention of heat in the dried zeolite is not a conversion step, and the total entropy of the system doesn't change during that time.