Chemistry, 09.07.2019 17:00 thecoolgirl02

In the reaction, a → products, a plot of ln[a] vs. time is linear and the slope is equal to -0.860 s-1. how long will it take one-half of the initial amount of a to react?

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The study of chemicals and bonds is called chemistry. There are different types of elements and these are metals and nonmetals.

The correct answer is -0.806sec.

What is half time?Halftime definition, the period indicating completion of half the time allowed for an activity.

The plot for ln[a] verses t is linear for a first-order reaction. The integrated rate law equation is as follows:

$[A]=[A_o]e^{-kt}$

Here,

k is rate constantt is a time of the reaction, [A] is the concentration of a reactant at time t [Ao} is the initial concentration of reactant.

The equation will be:-

In[A] = In[A_o]-kt

Compared with the equation for linear graph, y=mx+c

Thus, slope =-k

The value of k will be 0.860

Now, if the final concentration becomes half of its initial value $[A] = \frac{{A_o}}{2}$ .

Place all the values and rearrange them.

$T_\frac{1}{2} =\frac{In}{0.860}$

Hence, the correct answer is 0.860.

For more information about the half-life, refer to the link:-

link

Answer from: kenldykido2300

The reaction is given as follows:

$a\rightarrow product$

The plot of ln[a] verses t is linear with slope $-0.860 s^{-1}$ .

The plot for ln[a] verses t is linear for first order reaction. The integrated rate law equation is as follows:

$[A]=[A_{0}]e^{-kt}$

Here, k is rate constant, t is time of the reaction, [A] is concentration of reactant at time t and $[A_{0}]$ is initial concentration of reactant.

Taking ln both sides,

$ln[A]=ln[A_{0}]-kt$ ...... (1)

Comparing with equation for linear graph, y=mx+c

Thus, slope =-k

Or, $k=0.860 s^{-1}$

Now, if final concentration become half of its initial value, $[A]=\frac{[A_{0}]}{2}$ and t becomes $t_{1/2}$

Putting the values in equation (1)

$ln\frac{[A_{0}]}{2}=ln[A_{0}]-(0.860 s^{-1})t_{1/2}$

On rearranging,

$t_{1/2}=\frac{ln2}{0.860 s^{-1}}=\frac{0.6932}{0.860 s^{-1}}=0.806 sec$

Therefore, it takes 0.806 sec to react half of the reactant a.

Answer from: Quest

the answer is b because, investigating whether another species of moth also drinks tears might be interesting, but it would not directly explain why this species of moth does.

to explain why this species of moth drinks tears, the scientist could ask: "what nutrients that moths need are in elephant tears? "

the scientist could experiment with moth repellent or oter ways to keep the moths away, but that would not answer his original question.

Answer from: Quest

the answer is a! (2.9 x 10^-18 j) hope i could someone. : )

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In the reaction, a → products, a plot of ln[a] vs. time is linear and the slope is equal to -0.860 s...