As a chemist, I can provide you with a general understanding of how changing the temperature affects the rate of gas-phase reaction between methane and oxygen. However, I cannot perform Monte Carlo simulations myself. You would need to consult a computational chemist or use specialized software for that.In general, the rate of a gas-phase reaction is influenced by the temperature according to the Arrhenius equation:k = Ae^-Ea/RT where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.As the temperature increases, the rate constant k also increases, which means the reaction rate will be faster. This is because, at higher temperatures, the kinetic energy of the gas molecules increases, leading to more frequent and energetic collisions between the reacting molecules. Consequently, the probability of overcoming the activation energy barrier also increases, resulting in a faster reaction rate.To study the effect of temperature on the rate of the gas-phase reaction between methane and oxygen using Monte Carlo simulations, you would need to follow these general steps:1. Set up the initial conditions: Define the initial concentrations of methane and oxygen, the temperature range you want to investigate, and the reaction mechanism e.g., CH4 + 2O2 -> CO2 + 2H2O .2. Perform the Monte Carlo simulations: Use specialized software to simulate the reaction at different temperatures within the defined range. The software will generate random numbers to represent the positions and velocities of the gas molecules and calculate the probability of successful collisions leading to a reaction.3. Analyze the results: Collect the data on reaction rates at different temperatures and analyze the trends. You should observe an increase in the reaction rate with increasing temperature, as explained by the Arrhenius equation.4. Validate the model: Compare the simulation results with experimental data or previously reported theoretical results to ensure the accuracy and reliability of your model.Remember that performing Monte Carlo simulations requires specialized knowledge and software, so you may need to consult a computational chemist or use appropriate tools to carry out the simulations.