Question:
Which of the following equation exhibits integrated rate law equation for first order reaction?
Which of the following equation exhibits integrated rate law equation for first order reaction?
Show Hint
First order key form:
$k = \frac{2.303}{t} \log \frac{a}{a-x}$
Updated On: May 8, 2026
- $\text{k} = \frac{[\text{A}]_0 - [\text{A}]_t}{t}$
- $\text{k} = \frac{2.303}{t} \times \log \frac{\text{a}}{(\text{a}-\text{x})}$
- $k = \frac{1}{t} \ln \frac{(\text{a}-\text{x})}{\text{a}}$
- $\text{k} = \frac{1}{\text{t}} \times \frac{\text{x}}{\text{a}(\text{a}-\text{x})}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept: Integrated rate law for first order reaction: \[ k = \frac{2.303}{t} \log \frac{a}{a-x} \] or \[ k = \frac{1}{t} \ln \frac{a}{a-x} \]
Step 1: Compare options.
• (A) Zero order equation
• (B) Correct first order equation
• (C) Incorrect (log form reversed)
• (D) Second order equation
Step 2: Conclusion.
Thus, correct equation is option (B). Final Answer: Option (B)
Was this answer helpful?
0
0
Top MHT CET Chemistry Questions
- The temperature of $32^{\circ}C$ is equivalent to
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
- If a metal crystallises in bcc structure with edge length of unit cell $4.29 \times 10^{-8}\, cm$ the radius of metal atom is
- Which of the following oxides can act both as an oxidising agent as well as reducing agent ?
- "The mass and energy both are conserved in an isolated system", is the statement of
View More Questions
Top MHT CET Order of Reaction Questions
- The units of rate constant for first order reaction are
- Which of the following plots gives a straight line for a zero-order reaction?
- For a first-order reaction, the slope of the graph between \(\log[A]\) vs time is equal to:
- Which of the following equation exhibits integrated rate law equation for first order reaction?
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions