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1.10 H-C=0 or Estat (the thermal decomposition of dimethyl ether Prdektion) CH,OCH, CH,+CO+H CHOCH, CH, + HCHO is postulated to occur by the following free

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1.10 H-C=0 or Estat (the thermal decomposition of dimethyl ether Prdektion) CH,OCH, CH,+CO+H CHOCH, CH, + HCHO is postulated to occur by the following free radical chain mechanism: CH,OCH, CH; + OCH; CH; +CH, OCH, CH,+CH,OCH; CH,OCH; --CH; +HCHO CH; +CH,OCH; --C.HOCH, -- H #C= (a) (b) For a first-order initiation step, use the Goldfinger-Letort-Niclause table [1948] to predict the overall order of reaction. With the help of the steady-state assumption and the usual approximations of small initiation and termination coefficients, derive the detailed kinetic expression for the overall rate -d[CH,OCH, = k[CH,OCH, dit and verify that the overall order n is as predicted in part (a). Also find ko, in terms of ki, k2, ks, and ke. only [ (c) If the activation energies of the individual steps are E1-325/E;= 62.8, E3 - 159, E4 = 33.5 kJ/mol, show that the overall activation energy is En = 262 kJ/mol

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