An evaporative cooling device and method for removing heat energy from an object in thermally conductive contact with the device that is formed of a flexible and conformable container that is at least partially filled with a liquid absorbing material. When the device is hydrated and placed in thermally conductive contact with an object to be cooled, heat energy is transferred from the object to the device and the liquid that was absorbed by the material is evaporated. The amount of heat transferred is substantially equal to the latent heat of vaporization of the liquid that is evaporated. The use of the liquid absorbing material also allows the container to remain dry to the touch, even after it is hydrated.