Question:
The rate constant of a reaction is 1.5×10⁻³ at 25°C and 2.1×10⁻² at 60°C. The activation energy is:
The rate constant of a reaction is 1.5×10⁻³ at 25°C and 2.1×10⁻² at 60°C. The activation energy is:
Show Hint
Use absolute temperatures while applying Arrhenius equation.
Updated On: Mar 23, 2026
- \( \dfrac{35}{333}R\log_e\!\left(\dfrac{2.1\times10^{-2}}{1.5\times10^{-2}}\right) \)
- \( \dfrac{298\times333}{35}R\log_e\!\left(\dfrac{21}{1.5}\right) \)
- \( \dfrac{298\times333}{35}R\log_e(2.1) \)
- (298)/(35)Rlogₑ((1.5)/(2.1))
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Arrhenius equation:
\[ \ln\frac{k_2}{k_1} = \frac{E_a}{R} \left(\frac{1}{T_1} - \frac{1}{T_2}\right) \]
Step 2: Substitute \(T_1 = 298\,\text{K},\; T_2 = 333\,\text{K}\).
Step 3: Rearranging gives option (B).
\[ \ln\frac{k_2}{k_1} = \frac{E_a}{R} \left(\frac{1}{T_1} - \frac{1}{T_2}\right) \]
Step 2: Substitute \(T_1 = 298\,\text{K},\; T_2 = 333\,\text{K}\).
Step 3: Rearranging gives option (B).
Was this answer helpful?
0
0
Top BITSAT Chemistry Questions
- Which of the following silver salts is insoluble in water ?
- Which of the following is deliquescent ?
- Among the following sets of quantum numbers. Which one is incorrect for $4d$ electron ?
- In the purification of impure nickel by Mond's process, metal is purified by:
- When $25\, g$ of a non-volatile solute is dissolved in $100\,g$ of water, the vapour pressure is lowered by $2.25 \times 10^{-1}\, mm$. If the vapour pressure of water at $20^{\circ} C$ is $17.5\, mm$, what is the molecular weight of the solute?
View More Questions
Top BITSAT Collision Theory of Chemical Reactions Questions
- Among the ligands \( {NH}_3, \, {en}, \, {CN}^-, \, {CO} \), the correct order of their increasing field strength is:
- The activation energy for a simple chemical reaction A → B is Eₐ in the forward direction. The activation energy for reverse reaction
- The following data are for the decomposition of ammonium nitrite in aqueous solution: arrayc c Vol. of N₂ in cc & Time (min)
6.25 & 10
9.00 & 15
11.40 & 20
13.65 & 25
35.65 & ∞ array The order of reaction is: - During the kinetic study of the reaction 2A + B → C + D, the following results were obtained. Based on the data, which rate law is correct?
- For the reaction H₂(g) + Br₂(g) → 2HBr(g), the experimental data suggest, rate = k[H₂][Br₂]¹/2. The molecularity and order of the reaction are respectively
View More Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions