KCET · Chemistry · Chemical Kinetics
The activation energy for a reaction at the temperature \(T \mathrm{~K}\) was found to be \(2.303 \mathrm{RT}\) \(\mathrm{J} \mathrm{mol}^{-1}\). The ratio of the rate constant to Arrhenius factor is
- A \(10^{-1}\)
- B \(10^{-2}\)
- C \(2 \times 10^{-3}\)
- D \(2 \times 10^{-2}\)
Answer & Solution
Correct Answer
(A) \(10^{-1}\)
Step-by-step Solution
Detailed explanation
Arrhenius equation is, rate constant,
\[
\begin{aligned}
&\mathrm{k}=A \mathrm{e}^{-\mathrm{E}_{\mathrm{a}} / \mathrm{RT}} \\
&\mathrm{k}=\mathrm{Ae}^{-2.303 \mathrm{RT} / \mathrm{RT}} \\
&\frac{\mathrm{k}}{\mathrm{A}}=\mathrm{e}^{-2.303}
\end{aligned}
\]
On solving, we get
\[
\frac{\mathrm{k}}{\mathrm{A}}=10^{-1}
\]
\[
\begin{aligned}
&\mathrm{k}=A \mathrm{e}^{-\mathrm{E}_{\mathrm{a}} / \mathrm{RT}} \\
&\mathrm{k}=\mathrm{Ae}^{-2.303 \mathrm{RT} / \mathrm{RT}} \\
&\frac{\mathrm{k}}{\mathrm{A}}=\mathrm{e}^{-2.303}
\end{aligned}
\]
On solving, we get
\[
\frac{\mathrm{k}}{\mathrm{A}}=10^{-1}
\]
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
- Which of the following is a network crystalline solid?KCET 2019 Easy
- Electrolytic refining is used to purify which of the following metals?KCET 2018 Easy
- A \(0.15\) mole of pyridinium chloride has been added to \(500\text{ cm}^3\) of \(0.2\) M pyridine solution (a base). Assuming there is no change in volume upon mixing(Given: \(pK_b\) of pyridine = 8.82), the pH of the resulting solution isKCET 2026 Medium
- The enthalpy of vaporization of benzene is \(+35.3 \mathrm{~kJ} / \mathrm{mol}\) at its boiling point, \(80^{\circ} \mathrm{C}\). The entropy change in the transition of vapour to liquid at its boiling point isKCET 2011 Medium
- A gas deviates from ideal behaviour at a high pressure because its moleculesKCET 2008 Medium
- The IUPAC name of
isKCET 2011 Easy
More PYQs from KCET
- A line cuts off equal intercepts on the co-ordinate axes. The angle made by this line with the
positive direction of \( X \)-axis isKCET 2019 Easy - \(\mathrm{B}_{1}, \mathrm{~B}_{2}\) and \(\mathrm{B}_{3}\) are the three identical bulbs connected to a battery of steady emf with key \(\mathrm{K}\) closed. What happens to the brightness of the bulbs \(B_{1}\) and \(B_{2}\) when the key is opened?
KCET 2010 Hard - The time required for \(100 \%\) completion of a zero order reaction isKCET 2011 Medium
- Incorrect statement about \(\alpha\)-amino acids of proteins among the following isKCET 2026 Medium
- The area of the region bounded by the line \(y=2 x+1, X\)-axis and the ordinates \(x=-1\) and \(x=1\) isKCET 2020 Easy
- If \( U \) is the universal set with \( 100 \) elements; \( A \) and \( B \) are two sets such that \( n(A)=50, n(B)=60 \),
\( n(A \cap B)=20 \) then \( n\left(A^{\prime} \cap B^{\prime}\right)= \)KCET 2019 Easy