REACTION ENGINEERING - EXAMPLE 13.3 : The half-life for first order reaction could be described in the differential equation dC / dt = -kC where k is a constant, C is concentration and t is time. (a) Find the equation of C as a function of t. (b) Find the half life for such reaction or the time required to reduce 50 % of the initial concentration, where k = 0.139 per minute. (c) When the initial concentration Co is 16 mol / cubic metre, how long does the reaction required to achieve the final concentration of 1 mol / cubic metre?
- 1 Answers
- 1456 Views
- I also Faced
- E-Mail Answers
Answer Posted / kangchuentat
REACTION ENGINEERING - ANSWER 13.3 : (a) dC / dt = -kC, dC / C = -k dt. Integrate both sides gives ln C - ln Co = ln (C / Co) = -kt, C = Co exp (-kt). (b) When C / Co = 0.5, t = [ ln (C / Co) ] / (-k) = [ ln (0.5) ] / (-0.139) = 4.9867 minutes. (c) Step 1 : 16 to 8 mol per cubic metre. Step 2 : 8 to 4. Step 3 : 4 to 2. Step 4 : 2 to 1. Each step takes t minutes. There are 4 steps needed from 16 to 1 mol / cubic metre or 4t = 19.9468 minutes. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
| Is This Answer Correct ? | 0 Yes | 0 No |
Post New Answer View All Answers
Dielectric materials in static fields
Explain under what circumstances are vortex flowmeters the most accurate?
Explain how can viscosity affect the design of a mixer?
How to caliculate the boil up rate, dia and height in both packed and tray distillation columns and any referance books for the design.
Explain how can I evaluate the thermal relief requirements for double block-in of 98% sulfuric acid?
What is some common piping materials used to transport slurries?
Explain the use of gear pumps in motor?
Why whenever a reciprocating compressor is switched ON or OFF it is put into unloading mode?
Mention some of the specialized grinding and crushing methods.
Why is post-weld heat treatment (stress relieving) sometimes necessary for welded vessels?
Explain the working of a spray condenser?
Do you have recombinant protein expression experience? Explain?
what is the hearth and arch pressure in furnace?
Explain the reasons of removal of particles from effluent gas?
How can one quickly estimate the additional pressure drop to be introduced with more tube passes?
