Accelerating rate calorimetry (ARC) is used to study the reaction between Li{sub x}CoO{sub 2} and electrolyte. The reaction is found to be autocatalytic, that is, the reaction initially proceeds slowly, but accelerates rapidly as reaction products that promote the reaction itself are formed. An autocatalytic model of the reaction kinetics is used to reproduce accurately the experimental self-heating rate vs. temperature results for samples of Li{sub x}CoO{sub 2}charged to 4.1, 4.2, and 4.3 V. Two different samples of Li{sub x}CoO{sub 2} were studied, and one was found to be much more reactive than the other, showing that the choice of electrode material is an important consideration in the manufacture of practical cells. The power vs. time or power vs. temperature generated by the reaction between Li{sub x}CoO{sub 2} and electrolyte can also be calculated using the autocatalytic model, and compared to differential scanning calorimetry experiments, for example. These expressions can also be used to predict the heat evolved due to cathode-electrolyte reactions in practical Li-ion cells exposed to high temperatures. Coupled with similar models for the anode-electrolyte reaction kinetics (that the authors have presented earlier), the response of full Li-ion cells to thermal abuse can be predicted accurately.