Question:
The rate of reaction of any component is a function of:
The rate of reaction of any component is a function of:
Show Hint
While concentration (composition) and temperature are the primary factors affecting liquid-phase reactions, pressure plays an equally crucial role in gas-phase systems by altering the concentration of species via the ideal gas law: \( C_i = \frac{p_i}{RT} \).
Updated On: Jul 4, 2026
- Temperature of the system only
- Pressure of the system only
- Composition of the component only
- Temperature, pressure and composition
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
The reaction rate (\(-r_A\)) describes how fast a chemical reactant is consumed or how fast a product is formed per unit volume of the reaction space. According to fundamental principles of chemical kinetics and thermodynamics, the rate expression is generally separable into a temperature-dependent term and a concentration-dependent term under uniform conditions.
Step 1: Analyzing the dependencies of the rate expression.
For a basic chemical reaction, the rate is mathematically modeled via an empirical power-law equation: \[ -r_A = k(T, P) \cdot f(C_A, C_B, \ldots) \] Where:
• \( k \) is the reaction rate constant, which depends strongly on the absolute
temperature (\(T\)) following the Arrhenius relationship: \( k = A \exp\left(-\frac{E_a}{RT}\right) \).
• For gaseous phase reactions, the total system
pressure (\(P\)) changes the partial pressures and total concentrations of reacting molecules, directly influencing the frequency of collisions.
• The term \( f(C_A, C_B, \ldots) \) dictates the effect of chemical
composition or concentrations on the overall driving force of the reaction.
Step 2: Concluding the overall function.
Since a comprehensive rate equation must account for the molecular kinetic energy (temperature), the physical state/density of gases (pressure), and the availability of reacting species (composition), the rate cannot depend on just one of these in isolation. Hence, it is a simultaneous function of temperature, pressure, and composition.
Step 1: Analyzing the dependencies of the rate expression.
For a basic chemical reaction, the rate is mathematically modeled via an empirical power-law equation: \[ -r_A = k(T, P) \cdot f(C_A, C_B, \ldots) \] Where:
• \( k \) is the reaction rate constant, which depends strongly on the absolute
temperature (\(T\)) following the Arrhenius relationship: \( k = A \exp\left(-\frac{E_a}{RT}\right) \).
• For gaseous phase reactions, the total system
pressure (\(P\)) changes the partial pressures and total concentrations of reacting molecules, directly influencing the frequency of collisions.
• The term \( f(C_A, C_B, \ldots) \) dictates the effect of chemical
composition or concentrations on the overall driving force of the reaction.
Step 2: Concluding the overall function.
Since a comprehensive rate equation must account for the molecular kinetic energy (temperature), the physical state/density of gases (pressure), and the availability of reacting species (composition), the rate cannot depend on just one of these in isolation. Hence, it is a simultaneous function of temperature, pressure, and composition.
Was this answer helpful?
0
0
Top TS PGECET Chemical Engineering Questions
- The degrees of freedom for a system consisting a gaseous mixture of \( N_2 \), \( H_2 \), and \( NH_3 \) is
- A bypass stream in a chemical process is useful, because it
- Sometimes in chemical processes, a part of the outlet stream is rejected as waste in order to keep the impurity level in the system within limits. This phenomenon is termed as
- In a chemical reaction the material balance calculation is based on
- The substance that appears in one incoming stream and outgoing stream which serves as reference for computations is called as a
View More Questions
Top TS PGECET Chemical Reaction Questions
- Rate determining step in a reaction consisting of a number of steps in series is the
- Molecularity of reaction
- In a first order reaction, the time required to reduce the concentration of reactant from 1 mol/lit. to 0.5 mol/lit. will be ____ that required to reduce it from 10 mol/lit. to 5 mol/lit. in the same volume
- The rate equation in which rate equation corresponds to a stoichiometric equation is called
- Arrhenius equation shows the variation of ____ with temperature
View More Questions
Top TS PGECET Questions
- If \( P = \begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{pmatrix} \) is the modal matrix of \( A = \begin{pmatrix} 1 & 1 & 0 \\ 0 & 2 & 2 \\ 0 & 0 & 3 \end{pmatrix} \) then the sum of all the elements of \( P^{-1}AP \) is
- If the system of equations \( kx + y + z = k - 1 \), \( x + ky + z = k - 1 \), and \( x + y + kz = k - 1 \) has infinite solutions, then \( k \) is
- The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is
- Let \( f(x) = \log x \). The number \( C \) strictly between \( e^2 \) and \( e^3 \) such that its reciprocal is equal to \( \frac{f(e^3) - f(e^2)}{e^3 - e^2} \) is
- The solution of the differential equation \( (D^2 + 2)y = x^2 \) is
View More Questions