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Derive an expression for the rate constant of 2nd reaction of the type, 2A→product.

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2A → Product
initial concentration : a molL-1                       →                              0
final concentration (t=t) : (a-x) molL-1             →                  x molL-1

Integrating,


Here, c is integration constant.
At,  t=0, x=0, then from equation (i), we have,

Hence,

This is the required expression.
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