Some experiments are done to study the decomposition of N2O5 in thegas phase: N2

Question

Some experiments are done to study the decomposition of N2O5 in thegas phase:

N2O5 (g) --> 2 NO2 (g) + 1/2 O2 (g)

Experiment       Temperature,°C             [N2O5],M               Initial rate, M/s
     1                 25                            2.3 ×10–2                  8.6 × 10–7
      2      25                            3.8 ×10–2                  1.4 × 10–6
     3                 80                            5.5 ×10–2                  8.3 × 10–3
     4                  55                            7.7 ×10–2                  ?????

Predict the initial rate that should be observed in Experiment 4(above).

Explanation / Answer

We Know that :      From the Arrhenius RateLaw :       log K2 / K1 = Ea / 2.303 R ( 1 / T )      log 2.3 x10-2   / 8.6 x 10-7 = Ea / 2.303 x 8.314 J / mole -K x 1/ 298 K               Ea   = 25261.099 J / mole       For the Reaction at 4 th experiment :         log 7.7 x10-2 /   ?   = 25261.099J / mole / 2.303 x 8.314 J / mole-K x 1/ 328 K            The initial Rate of the Reaction = 7.314 x 10-6 M / s.

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