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For a component A of a mixture, concentration as a function of x is given:
CA=5e-10x (x is in cm and CA in mol/liter)
Calculate the value of diffusion velocity (m/s)of the component A at the point x=0, if diffusivity of A in the mixture is 2.567*10-5m2/s.
CA=5e-10x (x is in cm and CA in mol/liter)
Calculate the value of diffusion velocity (m/s)of the component A at the point x=0, if diffusivity of A in the mixture is 2.567*10-5m2/s.
- a)0.2567
- b)2.567
- c)0.0025
- d)3.541
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
For a component A of a mixture, concentration as a function of x is gi...
Explanation: By Fick’s law, JA=(-)DAB*dC/dx
CA(uA-U)= (-)DABdC/dx…………1
Diffusion velocity= (uA-U)=(-DABdC/dx)/CA
dC/dx = -50e-10x
CA= 5 mol/lit
Put all the values in equation 1.
CA(uA-U)= (-)DABdC/dx…………1
Diffusion velocity= (uA-U)=(-DABdC/dx)/CA
dC/dx = -50e-10x
CA= 5 mol/lit
Put all the values in equation 1.
Most Upvoted Answer
For a component A of a mixture, concentration as a function of x is gi...
Calculation of Diffusion Velocity
Given information:
- Concentration of component A as a function of x: CA = 5e-10x mol/L
- Diffusivity of A in mixture: D = 2.567*10-5 m2/s
Formula:
Diffusion velocity (v) = -D(dCA/dx)
Calculation:
- At x=0, CA = 5e-10*0 = 0 mol/L
- Differentiating the given concentration expression with respect to x, we get:
dCA/dx = -5e-10x^2
- Substituting the values of D and dCA/dx in the formula, we get:
v = -2.567*10-5*(-5e-10*0^2) = 0.2567 m/s
Therefore, the correct answer is option A) 0.2567.
Given information:
- Concentration of component A as a function of x: CA = 5e-10x mol/L
- Diffusivity of A in mixture: D = 2.567*10-5 m2/s
Formula:
Diffusion velocity (v) = -D(dCA/dx)
Calculation:
- At x=0, CA = 5e-10*0 = 0 mol/L
- Differentiating the given concentration expression with respect to x, we get:
dCA/dx = -5e-10x^2
- Substituting the values of D and dCA/dx in the formula, we get:
v = -2.567*10-5*(-5e-10*0^2) = 0.2567 m/s
Therefore, the correct answer is option A) 0.2567.
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For a component A of a mixture, concentration as a function of x is given:CA=5e-10x(x is in cm and CAin mol/liter)Calculate the value of diffusion velocity (m/s)of the component A at the point x=0, if diffusivity of A in the mixture is 2.567*10-5m2/s.a)0.2567b)2.567c)0.0025d)3.541Correct answer is option 'A'. Can you explain this answer?
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For a component A of a mixture, concentration as a function of x is given:CA=5e-10x(x is in cm and CAin mol/liter)Calculate the value of diffusion velocity (m/s)of the component A at the point x=0, if diffusivity of A in the mixture is 2.567*10-5m2/s.a)0.2567b)2.567c)0.0025d)3.541Correct answer is option 'A'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about For a component A of a mixture, concentration as a function of x is given:CA=5e-10x(x is in cm and CAin mol/liter)Calculate the value of diffusion velocity (m/s)of the component A at the point x=0, if diffusivity of A in the mixture is 2.567*10-5m2/s.a)0.2567b)2.567c)0.0025d)3.541Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a component A of a mixture, concentration as a function of x is given:CA=5e-10x(x is in cm and CAin mol/liter)Calculate the value of diffusion velocity (m/s)of the component A at the point x=0, if diffusivity of A in the mixture is 2.567*10-5m2/s.a)0.2567b)2.567c)0.0025d)3.541Correct answer is option 'A'. Can you explain this answer?.
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