Vapors of methanol are oxidized in a rigid 10.0 L vessel at constant temperature…

CHEMISTRY · Multi-part · A Level · Chemistry · Kinetics · Kinetics

Problem

Vapors of methanol are oxidized in a rigid 10.0 L vessel at constant temperature according to the balanced equation 2 CH₃OH(g) + O₂(g) → 2 CH₂O(g) + 2 H₂O(g) Initially, the vessel contains 0.800 mol of O₂. After 15.0 s, the amount of O₂ has decreased to 0.720 mol. (a) Calculate the average rate of disappearance of O₂ over the first 15.0 s, expressing your answer in mol⋅L−1s−1\text{mol·L}^{-1}\text{s}^{-1}. (b) Determine the average rate of appearance of H₂O during the same interval, in mol⋅L−1s−1\text{mol·L}^{-1}\text{s}^{-1}. (c) Convert the rate obtained in part (b) to molecules of H₂O produced per second in the vessel. (d) Using stoichiometry, calculate the net change in the total number of moles of gas present in the vessel over the 15.0 s interval. Based on this result and the ideal gas law, predict whether the total pressure in the rigid vessel increases, decreases, or remains constant, and justify your reasoning.

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