The thermal decomposition of dimethyl ether (CH₃) ₂O (g) → CH₄ (g) + H₂ (g) + CO (g) is to be carried out in an isothermal 2.00-liter laboratory reactor at 600°C. The reactor is charged with pure dimethyl ether at a pressure of 350 torr. After about two hours, the reactor pressure is 875 torr.

(a) Has the reaction proceeded to completion at the end of the two-hour period? If not, what percentage of the dimethyl ether has decomposed?

(b) Taking elemental species [C(s), H₂ (g), 0₂ (g)] at 25°C as references, prepare and fill in an inlet— outlet enthalpy table. Use tabulated data for methane, hydrogen, and carbon monoxide, and the following data for dimethyl ether: ΔH˚_f = – 180.16 kJ/mol C_p [J/(mol ∙K)] = 26.86 + 0.1659T — 4.179 x 10^-5 T² (T in Kelvin)

(c) Calculate ΔH_г (600°C) and ΔU_г (600°C) for the dimethyl ether decomposition reaction.

(d) How much heat (kJ) was transferred to or from the reactor (state which it is) during the two- hour period of the reaction?