Pyruvic acid is an intermediate in the fermentation of grains. During fermentation the enzyme pyruvate decarboxylase causes the pyruvate ion to release carbon dioxide. In one experiment, an aqueous solution of pyruvate ions of volume 200 mL at an initial concentration of 3.23 mmol · L^–1 is placed in a sealed, rigid flask of volume 500 mL at 293 K. Because the concentration of the enzyme was kept constant, the reaction was pseudo-first order in pyruvate ion. The elimination of CO₂ by the reaction was monitored by measuring the partial pressure of the CO₂ gas. The pressure of the gas was found to rise from 0 to 100. Pa in 522 s.
What is the rate constant of the pseudo-first-order reaction?