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The rate constant for the gas-phase decomposition ofN2O5 NO2O5 -----> 2NO2 + 1/2

ID: 676902 • Letter: T

Question

The rate constant for the gas-phase decomposition ofN2O5 NO2O5 -----> 2NO2 + 1/2O2 has the following temp dependence T(K)                              k(s^-1) 338                                4.9X 10^-3 318                                5.0X 10^-4 298                                3.5X 10^-5 Make an appropriate graph using these data and determine theactivation energy for this reaction. The rate constant for the gas-phase decomposition ofN2O5 NO2O5 -----> 2NO2 + 1/2O2 has the following temp dependence T(K)                              k(s^-1) 338                                4.9X 10^-3 318                                5.0X 10^-4 298                                3.5X 10^-5 Make an appropriate graph using these data and determine theactivation energy for this reaction.

Explanation / Answer

   We Know that :      log K2 / K1 = Ea / 2.303 R ( 1 / T1 - 1 / T2)       log ( 5.0 x10-4 ) / ( 4.9 x10-3 )   = Ea / 2.303x 8.314 J / K-mole ( 1 / 318 - 1 / 338 ) K                  Ea    = 101709.700392 Joule / mole                          = 101. 709700 KJ / mole          In order todetermine the Ea   graphically we have toplot ln K on Y - axis and 1/ T on X- axis      The slope = ln K / 1 / T                          = 101. 709700 KJ / mole          In order todetermine the Ea   graphically we have toplot ln K on Y - axis and 1/ T on X- axis      The slope = ln K / 1 / T
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