Hard chemistry question with respect to first order rate law?

Posted on 2017-02-27 18:25:00 in Chemistry by ZACH WEAVER

At a certain temperature, n205 (g) decomposes to O2 and NO2 following a first order rate law with k= 7.05 x 10^-4 s^-1. If a reactor is charged initially with 1.10 atm of n205, how long will it take for the total pressure to reach 1.8 atm? One may assume the reverse reaction is negligible and these gasses behave idealy. 

I have been trying to use integrated rate law but the answer keeps coming wrong. Do I have to convert the atm into something else? please help I ve been trying to solve this all day

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