Answer
404.4k+ views
Hint: Use the Arrhenius equation related to log k and 1/T. Interpret the slope and intercept of the plot of log k vs \[1/T\].
Formula used:
Arrhenius equation
\[\log k = \log A - \dfrac{{{E_a}}}{{2.303R}} \times \dfrac{1}{T}\]
Complete step by step answer:
According to Arrhenius theory non-active or non-reactive molecules can become activated by absorption of heat energy.
The Arrhenius equation gives the relationship between the rate constant \[k\] and temperature.
\[\log k = \log A - \dfrac{{{E_a}}}{{2.303R}} \times \dfrac{1}{T}\]
Where,
\[k\] = rate constant
\[A\] = frequency factor
\[{E_a}\]= energy of activations
\[R\]= gas constant
\[T\] = temperature
The plot of \[\log k\] vs \[1/T\] is as follows:
The linear equation for a straight line is \[y = mx + c\]
Where,
\[y = \log k\]
\[x = \dfrac{1}{T}\]
\[{\text{Slope = }}m = - \dfrac{{{E_a}}}{{2.303R}}\]
\[{\text{Intercept = }}\log A\]
So, from the slope and intercept of the plot of \[\log k\] vs \[1/T\] we can calculate the energy of activation and frequency factor respectively.
The order of the reaction is experimental property. It can be determined from the concentration of the reactant and the rate of reaction. It cannot be determined from the plot of \[\log k\] vs \[1/T\].
Thus, the correct option is (D) The energy of activations as well as the frequency factor.
Note: Activation energy is the minimum amount of energy required to convert the reactant to product. Frequency factor (\[A\]) is constant for the given reaction and it describes the frequency of collision of reacting molecules. Using data of rate constant at various temperatures we can calculate the energy of activation and frequency factor of the reaction from the plot of \[\log k\] vs \[1/T\].
Formula used:
Arrhenius equation
\[\log k = \log A - \dfrac{{{E_a}}}{{2.303R}} \times \dfrac{1}{T}\]
Complete step by step answer:
According to Arrhenius theory non-active or non-reactive molecules can become activated by absorption of heat energy.
The Arrhenius equation gives the relationship between the rate constant \[k\] and temperature.
\[\log k = \log A - \dfrac{{{E_a}}}{{2.303R}} \times \dfrac{1}{T}\]
Where,
\[k\] = rate constant
\[A\] = frequency factor
\[{E_a}\]= energy of activations
\[R\]= gas constant
\[T\] = temperature
The plot of \[\log k\] vs \[1/T\] is as follows:
![seo images](https://www.vedantu.com/question-sets/7278fbe3-82d0-4092-b285-862eeee2d27a1659998777236810224.png)
The linear equation for a straight line is \[y = mx + c\]
Where,
\[y = \log k\]
\[x = \dfrac{1}{T}\]
\[{\text{Slope = }}m = - \dfrac{{{E_a}}}{{2.303R}}\]
\[{\text{Intercept = }}\log A\]
So, from the slope and intercept of the plot of \[\log k\] vs \[1/T\] we can calculate the energy of activation and frequency factor respectively.
The order of the reaction is experimental property. It can be determined from the concentration of the reactant and the rate of reaction. It cannot be determined from the plot of \[\log k\] vs \[1/T\].
Thus, the correct option is (D) The energy of activations as well as the frequency factor.
Note: Activation energy is the minimum amount of energy required to convert the reactant to product. Frequency factor (\[A\]) is constant for the given reaction and it describes the frequency of collision of reacting molecules. Using data of rate constant at various temperatures we can calculate the energy of activation and frequency factor of the reaction from the plot of \[\log k\] vs \[1/T\].
Recently Updated Pages
The area of the circle inscribed in an equilateral class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of the base of a right circular prism in 50cm2 class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of the base of a right circular cylinder is class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of the base of a right circular cylinder -class-10-maths-CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square ABCD is 16cm2 Find the area of the class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square ABCD is 16cm2 Find the area of the class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Which of the following is the most stable ecosystem class 12 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which of the following is the most stable ecosystem class 12 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write an application to the principal requesting five class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The term vaccine was introduced by A Jenner B Koch class 12 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)