# Problem: The decomposition reaction shown below exhibits first-order kinetic behavior.N2O5 (g) → N2O4 (g) + 1/2 O2 (g)At 298 K, the rate constant k is measured to be 3.46 x 10-5 sec-1.Rate constants at several other temperatures are measured and an Arrhenius plot of ln k (k in sec-1) vs. 1/T is constructed. The plot is found to be a straight line with a slope of -1.27 x 104.Given this information, calculate the temperature at which the half-life of N2O5 (g) would be 1.0 hour. Show all work and circle your final answer.

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The decomposition reaction shown below exhibits first-order kinetic behavior.

N2O5 (g) → N2O(g) + 1/2 O2 (g)

At 298 K, the rate constant k is measured to be 3.46 x 10-5 sec-1.

Rate constants at several other temperatures are measured and an Arrhenius plot of ln k (k in sec-1) vs. 1/T is constructed. The plot is found to be a straight line with a slope of -1.27 x 104.

Given this information, calculate the temperature at which the half-life of N2O5 (g) would be 1.0 hour. Show all work and circle your final answer.