In a batch reactor, 0.1 g of dimethyl ether is placed with 0.05 g of nitrogen at 504C and one atmosphere of pressure. Under these conditions the reagent is pyrolyzed According to the reaction: CH,OCH, CH, +H + CO As the reaction proceeds, the following time readings and volume differences were taken, since the pressure in the reactor is constant, since that its plunger slides freely. Tiempo (seg) V-V, (10) 5.3 8.5 2.5 0.0275 0.0549 0.0824 12.9 16.6 21.8 28.8 0.1098 0.1373 0.1647 0.1922 a) Determine the order and rate constant of the reaction. b) Calculate how long it will take to have a volume equal to twice the initial volume.