The thermal decomposition of dimethyl ether CH 3 2 O g CH 4 g H 2...

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The thermal decomposition of dimethyl ether CH 3 2 O g CH 4 g H2 g CO g is to be carried out in an isothermal 2.00-literlaboratory reactor at 600°C. The reactor is charged with puredimethyl ether at a pressure of 350 torr. After about two hours,the reactor pressure is 875 torr. (a) Has the reaction proceeded tocompletion at the end of the two-hour period? If not, whatpercentage of the dimethyl ether has decomposed? (b) Takingelemental species [C(s), H2(g), O2(g)] at 25°C as references,prepare and fill in an inlet-outlet enthalpy table. (See Example9.5-2.) Use tabulated data for methane, hydrogen, and carbonmonoxide, and the following data for dimethyl ether: Δ H f 180.16kJ mol C p J mol K 26.86 0.1659 T 4.179 10 5 T 2 T in kelvins (c)Calculate Δ H r 600 C and Δ U r 600 C for the dimethyl etherdecomposition reaction. (d) How much heat (kJ) was transferred toor from the reactor (state which it is) during the two-hour periodof the reaction? (e) Suppose the reaction were instead carried outin an expandable reactor at 600°C at a constant pressure of 350torr, with the same final percentage decomposition of dimethylether. Calculate the final volume of the reactor and the requiredamount of heat transfer. (Note: These should both be quickcalculations.) Explain why the values of Q calculated in Part d andin this part are different, even though the initial conditions andextents of reaction are the same.

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