Q2 The isobaric, isothermal, gas-phase decomposition of dimethyl ether (CH3OCH3) at 800K produces methane gas (CH4), hydrogen gas (H2) and carbon monoxide gas (CO). The reaction can be considered elementary and is carried out in a PFR fed by a mixture of 50% dimethyl ether and 50% nitrogen (N2) inert gas by mole. The total gas flow rate fed to the reactor is 0.0125m3s1 and the reaction rate constant for this decomposition reaction is k=0.2s1. (a) Apply the chemical reaction engineering algorithm and determine the reactor volume required to convert 75% of the dimethyl ether. [12 marks] (b) Sketch the trend of the gas flow rate as a function of reactor volume and explain the reasons for the trend observed