Rate Laws for First-, Second-, and Zero-Order Reactions

Integrated Rate Laws for First-Order, Second-Order, and Zero-Order Reactions 

Setting these different expressions equal to each other gives 

Using calculus, this expression is integrated over time to obtain the integrated rate law for a first-order reaction  

For a general second-order reaction, the expression including time is quite complex, so let s consider the case in which the rate law contains only one reactant. Setting the rate expressions equal to each other gives 

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