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The decomposition reaction \( 2 \mathrm{~N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \stackrel{\Delta}{\longrightarrow} 2 \mathrm{~N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \) \( +\mathrm{O}_{2}(\mathrm{~g}) \) is started in a closed cylinder under isothermal
\( \mathrm{P} \) isochoric condition at an initial pressure of \( 1 \mathrm{~atm} \). After

WW \( \mathrm{Y} \times 10^{3} \mathrm{~s} \), the pressure inside the cylinder is found ot be \( 1.45 \mathrm{~atm} \). If the rate constant of the reaction is \( 5 \times 10^{-4} \mathrm{~s}^{-1} \), assuming ideal gas behavior, the value of \( \mathrm{Y} \) is
[JEE Advanced - 2019]
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