The rate constant for the first-order decomposition of

Chapter 13, Problem 114E

(choose chapter or problem)

The rate constant for the first-order decomposition of \(\mathrm{N}_2 \mathrm{O}_5(\mathrm{~g})\) to \(\mathrm{NO}_2(\mathrm{~g})\) and \(\mathrm{O}_2(\mathrm{~g})\) is \(7.48 \times 10^{-3} \mathrm{~s}^{-1}\) at a given temperature.

a. Find the length of time required for the total pressure in a system containing \(\mathrm{N}_2 \mathrm{O}_5\) at an initial pressure of \(0.100 \mathrm{~atm}\) to rise to \(0.145 \mathrm{~atm}\).

b. To \(0.200 \mathrm{~atm}\).

c. Find the total pressure after \(100 \mathrm{~s}\) of reaction.

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