Final answer:
To model the temperature change during the auto-ignition of paper, employ thermochemistry and reaction kinetics principles, use the Arrhenius equation for the reaction rate, and assume an exothermic reaction without considering heat transfer to the environment.
Step-by-step explanation:
To create a simplified model of temperature change during the auto-ignition of paper, you can use basic concepts of thermochemistry and reaction kinetics. Assuming the auto-ignition temperature is constant and that heat transfer to the surroundings is negligible, we can focus solely on the exothermic reaction of the paper combustion. You'll need to account for factors such as the activation energy, the exothermic nature of the reaction, and potentially the rate of the reaction. Starting with the auto-ignition temperature, the temperature over time could be represented by a steep increase due to the exothermic reaction until all the fuel (paper) is consumed.
Since we're ignoring heat loss, once the paper reaches auto-ignition temperature, we can use a theoretical approach like the Arrhenius equation to model the temperature increase, assuming the reaction rate increases with temperature and provides a self-sustaining reaction until the fuel is exhausted and the temperature peaks. The graph of temperature over time would show a sudden rise upon reaching auto-ignition, and then a plateau as the maximum combustion temperature is maintained during the burning process.