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Question

The decomposition reaction 2N2O5(g)Δ2N2O4(g)+O2(g) is started in a closed cylinder under isothermal isochoric condition at an initial pressure of 1 atm. After Y×103s, the pressure inside the cylinder is found to be 1.45 atm. If the rate constant of the reaction is 5×104s1, assuming ideal gas behaviour, the value of Y is

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Solution

Unit of rate constant (k) represent it is a first order reaction.

2N2O52N2O4+O2

t=01 0 0t=t1PPP2

Total pressure
1P+P+P2=1.45

P2=0.45, P=0.9
Now,
t=2.3032×5×104 log11P

y×103=2.3032×5×104log110.9=2.3032×5×104log10

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