As a language model AI, I cannot run Monte Carlo simulations directly. However, I can guide you through the process of setting up and running a Monte Carlo simulation to estimate the probability of a gas-phase reaction between methane and chlorine producing methyl chloride at a temperature of 500 K.1. Determine the reaction rate constant: First, you need to find the rate constant k for the reaction at 500 K. The reaction between methane and chlorine is given by:CH4 + Cl2 -> CH3Cl + HClYou can find the rate constant k for this reaction in the literature or by using the Arrhenius equation if you have the activation energy Ea and the pre-exponential factor A .2. Set up the Monte Carlo simulation: You will need to create a computational model that simulates the reaction between methane and chlorine. This can be done using programming languages like Python, MATLAB, or specialized software for chemical simulations.3. Define the initial conditions: Set the initial concentrations of methane and chlorine, the temperature 500 K , and the reaction rate constant k obtained in step 1.4. Run the simulation: Run the Monte Carlo simulation for a sufficient number of iterations to obtain a statistically meaningful result. In each iteration, the simulation will randomly choose whether the reaction occurs or not based on the reaction rate constant and the current concentrations of the reactants.5. Analyze the results: After running the simulation, calculate the probability of the reaction producing methyl chloride by dividing the number of successful reactions i.e., those that produced methyl chloride by the total number of iterations.6. Validate the results: Compare the probability obtained from the Monte Carlo simulation with experimental data or other theoretical models to ensure the accuracy of your simulation.Remember that the accuracy of the Monte Carlo simulation depends on the quality of the input data e.g., reaction rate constant and the number of iterations. Increasing the number of iterations will improve the accuracy of the results but may also increase the computational time.