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Respiration is a pure exothermic reaction because when we exhale there us carbon dioxide along with the residual oxygen and with certain amount of water vapour. No heat energy is provided during inhalation however the energy or heat liberated during oxidation of the food and other activities comes out as heat energy. Since there is heat energy released during respiration the reaction is called to be the exothermic reaction.
The process of cellular respiration is an exergonic process because glucose is being oxidized. During the oxidation process stored energy from glucose is liberated and made available for ATP synthesis. Activation energy needs to be invested for this process.