Question

Derive First Order
It's differentiation formula and half life ​

Answer 1

Answer:

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$\large\blue{\tt Refer\:this\: Attachment}$

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Answer 2

Answer:

A first-order reaction is a reaction that proceeds at a rate that depends linearly on only one reactant concentration.

Differential rate laws are generally used to describe what is occurring on a molecular level during a reaction, whereas integrated rate laws are used for determining the reaction order and the value of the rate constant from experimental measurements. The differential equation describing first-order kinetics is given below in the first attachment.

Half-lives of first order reactions

The half-life ( t1/2 ) is a timescale on which the initial population is decreased by half of its original value, represented by the following equation in the second attachment.

Derivation is in the third attachment.