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Nitrogen Dioxide Decomposes at 300 °C Via a Second-Order Process

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Nitrogen dioxide decomposes at 300 °C via a second-order process to produce nitrogen monoxide and oxygen according to the following chemical equation:
2 NO2(g) → 2 NO(g) + O2(g) .
A sample of NO2(g) is initially placed in a 2.50 L reaction vessel at 300 °C.If the half-life and the rate constant at 300 °C are 11 seconds and 0.54 L mol-1 s-1,respectively,how many moles of NO2 were in the original sample?

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