Question

Explain half reaction time : Mention its relation with K for the first order reaction.

Answer 1

Answer:

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Answer 2

Answer:

Relation of rate constant and half-life $t_{\frac{1}{2}} =\dfrac{0.693}{K}$

Explanation:

Since we know the equation for the first order reaction which gives the relation of rate constant,time period and concentration of reactant and product.

$t = \dfrac{2.303\ log\dfrac{R_{o} }{R_{t}}}{K}$...............(1)

Half life of the reaction is the life when product becomes 50% with respect to Reactant.It is represented by $t_{\frac{1}{2}}$

Assume,$R_{o} =100$ ,$R_{t} =50$ and $t = t_{\frac{1}{2}}$

Using Equation (1), we get

$t_{\frac{1}{2}} =  \dfrac{2.303\ log\dfrac{100}{50}}{K}= \dfrac{2.303\ log2}{K}=\dfrac{0693}{K}$

Relation of rate constant and half-life.

$t_{\frac{1}{2}} =\dfrac{0.693}{K}$.