Question

In: Other

We want to remove a carcinogenic substance (which of course is in a small concentration) from...

We want to remove a carcinogenic substance (which of course is in a small concentration)
from some industrial waste. As an engineer, you have found a special material in the shape
of a sphere of radius r0, in which the substance diffuses with diffussivity of D(eff).
Within the sphere, the substance is consumed (is bound) at an independent rate of its concentration,
i.e. its consumption per unit volume is ko.[ C(A,G)=-Ko]
The concentration of this substance in radious R is Co.

(a) We need to derive the expression for the distribution of the concentration of the substance in
a sphere from this special material, C(r), with the assumption that its consumption,
as has been said, is spatially uniform.

(b) Under what conditions is the concentration of the substance in the center of the sphere 0?

Solutions

Expert Solution

The solution steps are shown below:


Related Solutions

We want to study the zinc concentration from a river. We have a sample of measurements...
We want to study the zinc concentration from a river. We have a sample of measurements taken in 25 different locations in a river with sample mean x = 3 and population standard deviation σ = 0.3. The population is normally distributed. 1. Find the 95% and 99% confidence intervals for the mean zinc concentration in the river. 2. Is the following statement correct? “If we repeat the same experiment multiple times and each time calculate the two confidence intervals...
The molar concentration of HCL in a solution used to remove boiler scale from plumbing can...
The molar concentration of HCL in a solution used to remove boiler scale from plumbing can be determined by titration with a NaOH solution. 10 ml. of the HCL solution is placed in a 125 ml. beaker; 50 ml. of DI water are added along with 1 – 2 drops of phenolphthalein solution. It took 44.0 l. of 0.125M NaOH solution to reach an end point. Write the reaction for the equation, calculate the number of moles of NaOH required...
For dispersion modeling we want to find the concentration of a pollutant at a location (x,y,z)...
For dispersion modeling we want to find the concentration of a pollutant at a location (x,y,z) in 3-D space, relative to a point source at (0,0,H). How is the x distance downwind accounted for in the Gaussian dispersion equation?
For which of the following are we permitted to make the assumption that the equilibrium concentration...
For which of the following are we permitted to make the assumption that the equilibrium concentration of the acid or base is the same as the initial concentration when  we calculate the pH of the solution specified? (a) 0.020 M HC 2 H 3 O 2 (c) 0.002 M N 2 H 4 (b) 0.10 M CH 3 NH 2 (d) 0.050 M HCHO
We want to be local and global, small and big, radically decentralized with central reporting and...
We want to be local and global, small and big, radically decentralized with central reporting and control. If we can solve those contradictions, we can create real organizational advantage'. - The former CEO of ABB Questions: 1- Based on the international corporate strategy, how can a company be local or global? 2- Does the corporate strategy (local or global) depend on the sector, customers or industry? 3- How can companies solve the contradictions of being local and global?
why should we remove the saturated solution from the undissolved solute before suspending the crystal in...
why should we remove the saturated solution from the undissolved solute before suspending the crystal in the solution explain why increasing the number of carbons of an alcohol decrease the solubility compare and contrast polymorph and allotrope a metal nitrate as nitrogen ar each corner and a metal ar each edge. what is the empirical formula Note: Please type the answer
3a. What happens if we remove a light bulb from the circuit having Light Bulbs in...
3a. What happens if we remove a light bulb from the circuit having Light Bulbs in Series: 3a. What happens if we remove a light bulb from the circuit having Light Bulbs in Parallel: 3c. Christmas lights sometimes come wired in parallel or in series. Which variety do you prefer and state why?
why when blood calcium levels fall, we remove calcium from the bone matrix?Why do we sacrifice...
why when blood calcium levels fall, we remove calcium from the bone matrix?Why do we sacrifice bone density to maintain blood calcium? Why is calcium necessary for muscle function and neural communication?
We have learned from this course that the real value of the debt is eroded by...
We have learned from this course that the real value of the debt is eroded by inflation and may be overestimated because of it and other factors. Discuss whether you feel that the debt will be a major concern during your working lifetime and retirement why or why not?                             
This is an anti-clotting substance which we produce to dissolve clots and prevent inappropriate intravascular clotting...
This is an anti-clotting substance which we produce to dissolve clots and prevent inappropriate intravascular clotting (thrombus) . a. Thrombin b. Heparin c. Histamine d. Factor X e. Fibrinogen
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT