The decomposition reaction 2 N 2 O 5 g →   ∆   2 N 2 O 4 g + O 2 g is started in a…

The decomposition reaction 2N2O5g  2N2O4g+O2g is started in a closed cylinder under the isothermal isochoric condition at an initial pressure of 1 atm. After Y×103 s , the pressure inside the cylinder is found to be 1.45 atm . If the rate constant of the reaction is 5×10-4s-1, assuming ideal gas behaviour, the value of Y is

Solution


P0=1atm, Pt=1.45atm,P=1.5atm
From the unit of K=5×10-4s-1,
The reaction is first-order
t=2.3032×5×10-1log1.5-11.5-1.45
t=2.303×103=y×103
y=2.303
After round off: y=2.3

Asked in: JEE Advanced 2019 (Paper 2)

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