Formation of \( \mathrm{NO}_{2} \mathrm{~F} \) from \( \mathrm{NO}_{2} \) and \( \mathrm{F}_{2} ...

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Formation of \( \mathrm{NO}_{2} \mathrm{~F} \) from \( \mathrm{NO}_{2} \) and \( \mathrm{F}_{2} \) as per the reaction \( 2 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{F}_{2}(\mathrm{~g}) \longrightarrow 2 \mathrm{NO}_{2} \mathrm{~F}(\mathrm{~g}) \) is a second order reaction, first order with respect to \( \mathrm{NO}_{2} \) and first order with respect to \( \mathrm{F}_{2} \). If \( \mathrm{NO}_{2} \) and \( \mathrm{F}_{2} \) are present in a closed vessel in ratio \( 2: 1 \) maintained at a constant temperature with an initial total pressure of \( 3 \mathrm{~atm} \), what will be the total pressure in the vessel after the reaction is complete?
(1) \( 1 \mathrm{~atm} \)
(2) \( 2 \mathrm{~atm} \)
(3) \( 2.5 \mathrm{~atm} \)
(4) \( 3 \mathrm{~atm} \)
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