Question:
Integrated rate law equation for a first order gas phase reaction is given by (where \(P_i\) is initial pressure and \(P_t\) is total pressure at time t)
Integrated rate law equation for a first order gas phase reaction is given by (where \(P_i\) is initial pressure and \(P_t\) is total pressure at time t)
Updated On: Nov 20, 2024
- \( k = \frac{2.303}{t} \times \log \frac{P_i}{(2P_i - P_t)} \)
- \( k = \frac{2.303}{t} \times \log \frac{2P_i}{(2P_i - P_t)} \)
- \( k = \frac{2.303}{t} \times \log \frac{(2P_i - P_t)}{P_i} \)
- \( k = \frac{2.303}{t} \times \log \frac{P_i}{(2P_i - P_t)} \)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Consider the reaction:
\[ A \rightarrow B + C \]
Initial pressures:
\[ P_i \quad 0 \quad 0 \]
After reaction:
\[ P_i - x \quad x \quad x \]
Total pressure at time \(t\):
\[ P_t = P_i + x \]
Therefore:
\[ P_i - x = P_i - P_t + P_i \] \[ = 2P_i - P_t \]
Hence,
\[ k = \frac{2.303}{t}\times \log \frac{P_i}{2P_i - P_t} \]
Was this answer helpful?
0
0
Top Questions on Chemical Kinetics
- For a reaction X + Y → Z, in which both X and Y follow first order kinetics; if the concentration of X is increased 2 times and concentration of Y is increased 3 times, how does it affect the rate of reaction?
- CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- Give any two differences between order and molecularity of a reaction.
- CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- For the reaction A + B $\to$ Products, the following initial rates were obtained at various initial concentrations of reactants:
Reaction Rate Data
Sl. No. [A] (mol L−1) [B] (mol L−1) Initial rate (mol L−1 s−1) 1 0.1 0.1 0.05 2 0.2 0.1 0.10 3 0.1 0.2 0.05 - CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- Define rate constant.
- CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- For the reaction A + B $\to$ Products, the following initial rates were obtained at various initial concentrations of reactants:
Sl. No. [A] (mol L-1) [B] (mol L-1) Initial rate (mol L-1 s-1) 1 0.1 0.1 0.05 2 0.2 0.1 0.10 3 0.1 0.2 0.05 - CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
View More Questions
Questions Asked in JEE Main exam
- The number of 6-letter words, with or without meaning, that can be formed using the letters of the word "MATHS" such that any letter that appears in the word must appear at least twice is:
- JEE Main - 2025
- Calculus
- Number of functions \( f: \{1, 2, \dots, 100\} \to \{0, 1\} \), that assign 1 to exactly one of the positive integers less than or equal to 98, is equal to:
- JEE Main - 2025
- Vectors
- Let \( P_n = \alpha^n + \beta^n \), \( P_{10} = 123 \), \( P_9 = 76 \), \( P_8 = 47 \), and \( P_1 = 1 \). The quadratic equation whose roots are \( \frac{1}{\alpha} \) and \( \frac{1}{\beta} \) is:
- JEE Main - 2025
- Sequences and Series
- Suppose that the number of terms in an A.P. is \( 2k, k \in \mathbb{N} \). If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term of the A.P. exceeds the first term by 27, then \( k \) is equal to:
- JEE Main - 2025
- Arithmetic Progression
- If \[ f(x) = \int \frac{1}{x^{1/4} (1 + x^{1/4})} \, dx, \quad f(0) = -6, { then } f(1) { is equal to:} \]
- JEE Main - 2025
- Calculus
View More Questions