A dispenser for relative rapid cooling or heating of the contents of a liquid storage container provides a receptacle for receiving the liquid storage container therein and positioning a thermal transfer portion of the liquid storage container in thermal conductive relationship with a thermal conduction pad associated with the receptacle. Thermal energy is effectively and efficiently transferred from the thermal conduction pad to the liquid in the liquid storage container. The thermal conduction pad is controlled to provide and maintain the desired temperature to the liquid. The liquid is dispensed directly from the container. Various types of containers can be used in the dispenser, with a special bag-in-box container having a inner container and outer box with thermal conduction windows in the box to provide good heat transfer between the thermal conduction pads and the inner container constituting an aspect of the invention. A special rigid container can also be used.