For the simple decomposition reactionab(g)→ a(g) + b(g)rate =k[ab]2 and k=0.2 l/mol*s . how long will it takefor [ab] to reach 1/3 of its initial concentration 1.50 mol/l?

6.66 s will it take for [AB] to reach 1/3 of its initial concentration 1.50 mol/L.

Explanation:

The order of the reaction is 2.

Integrated rate law for second order kinetic is:

Where, is the initial concentration  = 1.50 mol/L

is the final concentration  = 1/3 of initial concentration = = 0.5 mol/L

Rate constant, k = 0.2 L/mol*s

Applying in the above equation as:-

6.66 s will it take for [AB] to reach 1/3 of its initial concentration 1.50 mol/L.

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the answer is 75.0%.