The decomposition of \( \mathrm{N}_{2} \mathrm{O}_{5} \) according ...

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The decomposition of \( \mathrm{N}_{2} \mathrm{O}_{5} \) according to the equation \( 2 \mathrm{~N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \longrightarrow 4 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \) is a first order reaction. After \( 30 \mathrm{~min} \). from start of decomposition in a closed vessel the total pressure
\( \mathrm{P} \) developed is found to be \( 284.5 \mathrm{~mm} \mathrm{Hg} \). On complete decomposition, the total pressure is \( 584.5 \mathrm{~mm} \mathrm{Hg} \). Calculate the rate constant of the reaction. [Given : ln 1.169=0.156]
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