Question:
In the Arrhenius equation, $\exp\left(-\frac{E_{a}}{RT}\right)$, is equal to
In the Arrhenius equation, $\exp\left(-\frac{E_{a}}{RT}\right)$, is equal to
Show Hint
The term $A$ tracks total collisions per second, while the exponent $\exp(-E_{a}/RT)$ filters the fraction of those collisions energetic enough to react.
Updated On: Jun 3, 2026
- Frequency factor
- Fraction of molecules that have energy higher than $E_{a}$
- Rate of the reaction
- Rate constant of the reaction
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
The Arrhenius equation models the temperature dependence of chemical reaction rates: $k = A \cdot \exp\left(-\frac{E_{a}}{RT}\right)$, where $A$ is the frequency factor and $E_{a}$ is the activation energy.
Step 2: Meaning
In collision theory, not all collisions result in a chemical reaction. Reactants must possess a minimum threshold energy, called the activation energy ($E_{a}$), to break existing bonds and form products.
Step 3: Analysis
The exponential term $\exp\left(-\frac{E_{a}}{RT}\right)$ stems from the Maxwell-Boltzmann distribution of molecular energies. It represents the specific statistical fraction of total colliding reactant molecules that have kinetic energy equal to or greater than the required activation energy barrier ($E_{a}$) at a given temperature $T$.
Step 4: Conclusion
This definition matches option (B) directly.
Final Answer: (B)
The Arrhenius equation models the temperature dependence of chemical reaction rates: $k = A \cdot \exp\left(-\frac{E_{a}}{RT}\right)$, where $A$ is the frequency factor and $E_{a}$ is the activation energy.
Step 2: Meaning
In collision theory, not all collisions result in a chemical reaction. Reactants must possess a minimum threshold energy, called the activation energy ($E_{a}$), to break existing bonds and form products.
Step 3: Analysis
The exponential term $\exp\left(-\frac{E_{a}}{RT}\right)$ stems from the Maxwell-Boltzmann distribution of molecular energies. It represents the specific statistical fraction of total colliding reactant molecules that have kinetic energy equal to or greater than the required activation energy barrier ($E_{a}$) at a given temperature $T$.
Step 4: Conclusion
This definition matches option (B) directly.
Final Answer: (B)
Was this answer helpful?
0
0
Top AP EAPCET Chemistry Questions
- The four quantum numbers of the valence electron of potassium are :
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
- In which of the following the election gain enthalpy of elements is correctly arranged?
- The radii of $ \text{F,}{{\text{F}}^{-}}\text{O} $ and $ {{\text{O}}^{2-}} $ are in the order
- Which of the following has the highest first ionization potential?
View More Questions
Top AP EAPCET Arrhenius Equation Questions
The rate constants of a first-order reaction at 300 K is $ k_1 $ and 400 K is $ k_2 $. What is the value of $ \frac{k_2}{k_1} $ if activation energy of reaction is $ 41.5 \, \text{kJ mol}^{-1} $?
($R = 8.314 \, \text{J K}^{-1} \text{mol}^{-1}$- For a reaction, the rate constant double when temperature is increased from 300 K to 310 K. The activation energy ($E_{a}$) of this reaction is (Take $R = 8.314\text{ J K}^{-1}\text{ mol}^{-1}$)
- The following equation is obtained for a first order reaction: $\log k = 14 - \frac{1.25 \times 10^4 K}{T}$. The $E_a$ (in kJ $mol^{-1}$) and frequency factor A (in $s^{-1}$) of the reaction are respectively:
- The value of the rate constant for the reaction \(A \rightarrow \text{products}\) is \(5 \times 10^{-5}\ \mathrm{s^{-1}}\) at \(300\ \mathrm{K}\). Its activation energy is \(50\ \mathrm{kJ\ mol^{-1}}\). At temperature \(T\), the rate constant becomes \(1.0 \times 10^{-4}\ \mathrm{s^{-1}}\). What is the value of \(T\) (in K)? \[ \text{Given: } R = 8.3\ \mathrm{J\ mol^{-1}\ K^{-1}}, \qquad \log 2 = 0.3 \]
- The rate constants of a reaction at \(500\,K\) and \(700\,K\) are \(0.02\,s^{-1}\) and \(0.2\,s^{-1}\) respectively. The activation energy of the reaction in \(kJ\,mol^{-1}\) is
\((R=8.3\,JK^{-1}mol^{-1})\)
View More Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions