UPSC Exam > UPSC Questions > Reaction \( A \rightarrow R \) with initial c...
Start Learning for Free
Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)?
Most Upvoted Answer
Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C...
Understanding the Reaction and Parameters
The reaction \( A \rightarrow R \) occurs in a packed bed where the initial concentration of \( A \) is \( \mathrm{C}_{\mathrm{A} 0} = 250 \, \mathrm{mol/m^3} \). The rate of reaction is defined by:
- \( -r_{A}^{\prime \prime \prime} = k^{\prime \prime \prime} C_{A} \)
where \( k^{\prime \prime \prime} = 0.2 \, \mathrm{m^3/(m^3 \cdot s)} \).
Gas Flow and Catalyst Details
- The gas flows downward with a velocity \( u_{0} = 0.4 \, \mathrm{m/s} \).
- The volume flow rate is \( v_{0} = 0.942 \, \mathrm{m^3/s} \).
- There are 4 tons of catalyst, and the density of the catalyst is \( \rho_{s} = 2000 \, \mathrm{kg/m^{3}} \).
Calculating the Mean Concentration of A
The mean concentration of \( A \) in the packed bed can be estimated using the concept of plug flow. In plug flow, the concentration of \( A \) decreases as it moves through the catalyst bed.
1. Total Mass of Catalyst:
- Total mass of catalyst = 4 tons = \( 4000 \, \mathrm{kg} \).
- Volume of catalyst = \( \frac{4000 \, \mathrm{kg}}{2000 \, \mathrm{kg/m^{3}}} = 2 \, \mathrm{m^{3}} \).
2. Mean Concentration Calculation:
- Mean concentration \( C_{A} \) can be calculated based on the initial concentration and the flow rate.
- Assuming no significant conversion initially, the mean concentration seen by the solids is approximately equal to the initial concentration, which is \( 250 \, \mathrm{mol/m^{3}} \).
However, considering the reaction occurring, the concentration may decrease along the bed, and adjustments may be necessary using the material balance equations for a more precise analysis.
Thus, the approximate mean concentration of \( A \) seen by the solids is around \( 250 \, \mathrm{mol/m^{3}} \), ensuring to account for any conversion as required in detailed calculations.
The reaction \( A \rightarrow R \) occurs in a packed bed where the initial concentration of \( A \) is \( \mathrm{C}_{\mathrm{A} 0} = 250 \, \mathrm{mol/m^3} \). The rate of reaction is defined by:
- \( -r_{A}^{\prime \prime \prime} = k^{\prime \prime \prime} C_{A} \)
where \( k^{\prime \prime \prime} = 0.2 \, \mathrm{m^3/(m^3 \cdot s)} \).
Gas Flow and Catalyst Details
- The gas flows downward with a velocity \( u_{0} = 0.4 \, \mathrm{m/s} \).
- The volume flow rate is \( v_{0} = 0.942 \, \mathrm{m^3/s} \).
- There are 4 tons of catalyst, and the density of the catalyst is \( \rho_{s} = 2000 \, \mathrm{kg/m^{3}} \).
Calculating the Mean Concentration of A
The mean concentration of \( A \) in the packed bed can be estimated using the concept of plug flow. In plug flow, the concentration of \( A \) decreases as it moves through the catalyst bed.
1. Total Mass of Catalyst:
- Total mass of catalyst = 4 tons = \( 4000 \, \mathrm{kg} \).
- Volume of catalyst = \( \frac{4000 \, \mathrm{kg}}{2000 \, \mathrm{kg/m^{3}}} = 2 \, \mathrm{m^{3}} \).
2. Mean Concentration Calculation:
- Mean concentration \( C_{A} \) can be calculated based on the initial concentration and the flow rate.
- Assuming no significant conversion initially, the mean concentration seen by the solids is approximately equal to the initial concentration, which is \( 250 \, \mathrm{mol/m^{3}} \).
However, considering the reaction occurring, the concentration may decrease along the bed, and adjustments may be necessary using the material balance equations for a more precise analysis.
Thus, the approximate mean concentration of \( A \) seen by the solids is around \( 250 \, \mathrm{mol/m^{3}} \), ensuring to account for any conversion as required in detailed calculations.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)?
Question Description
Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)?.
Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)?.
Solutions for Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? defined & explained in the simplest way possible. Besides giving the explanation of
Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)?, a detailed solution for Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? has been provided alongside types of Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? theory, EduRev gives you an
ample number of questions to practice Reaction \( A \rightarrow R \) with initial concentration \( \mathrm{C}_{\mathrm{A} 0}=250 \mathrm{~mol} / \mathrm{m}^{3} \) and \( -r_{A}^{\prime \prime \prime}=k^{\prime \prime \prime} C_{A} \) proceeds in a packed bed with the rate constant \( 0.2 \mathrm{~m}^{3} /\left(\mathrm{m}^{3}\right) \) catalyst s\( ) \). The gas was made to flow downward through the solids ( \( \left.\mathrm{u}_{0}=0.4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{0}=0.942 \mathrm{~m}^{3} / \mathrm{s}\right) \) containing 4 tons of catalyst \( \left(\rho_{s}=2000 \mathrm{~kg} / \mathrm{m}^{3}\right) \). Assuming plug flow of gas, the proper mean concentration of A seen by the solids would be \( \qquad \) \( \mathrm{mol} / \mathrm{m}^{3} \cdot(2) \)? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup