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Friday, June 12, 2015

Transmittance and Absorbance Problems

Category: Chemical Engineering Math

"Published in Newark, California, USA"

A solution containing 4.48 ppm KMnO4 has a transmittance of 0.576 in a 1.00 cm cell at 520 nm. If the transmittance of an unknown solution is 0.735, what is the concentration of the unknown KMnO4 solution in ppm.

Solution:

The given word problem is about transmittance and absorbance problem in which we can get the concentration of any unknown solutions. Mostly, spectrophotometer is used in getting the concentration of unknown solutions including the blank sample and known sample. By Beer's Law, we can calculate the concentration of any unknown solutions as follows 


where:

       T = transmittance
       A = absorbance
       a = molar absorptivity
       b = thickness of the cell
       c = concentration of solution

If the transmittance of 4.48 ppm KMnO4 is 0.576, then the value of a which is the molar absorptivity is






If the value of transmittance for the unknown KMnO4 solution is 0.735, therefore, its concentration is


 
 

Thursday, June 11, 2015

Oxidation Reduction Reaction Problems, 4

Category: Chemical Engineering Math

"Published in Newark, California, USA"

A sample of iron ore weighing 385.6 mg was dissolved in acid and passed through a Jones Reductor. If the resulting solution required 52.36 mL of 0.01436 M K2Cr2O7 for titration, calculate the % Fe3O4 (231.55 g/mole) in the ore sample.

Solution:

The given word problem is about oxidation reduction reaction or redox in short. If a sample of iron ore is dissolved in an acid and passed through a Jones Reductor, then iron metal is converted into ferrous ion. In order to get the amount of ferrous ion in a solution, K2Cr2O7 solution is used for titration as follows


The amount of ferrous ion or iron in a sample is



The amount of Fe3O4 in a sample of iron ore is 



Hence, the weight of Fe3O4 in a sample of iron ore is 
 
 

Therefore, the weight percent of Fe3O4 in a sample of iron ore is 
 
 

Wednesday, June 10, 2015

Oxidation Reduction Reaction Problems, 3

Category: Chemical Engineering Math

"Published in Newark, California, USA"

A 240 mg sample of pyrolusite was treated with excess KI. The iodine liberated required 46.24 mL of 0.1105 M Na2S2O3 solution. Calculate the % MnO2 in the sample.

Solution:

The given word problem is about oxidation reduction reaction or redox in short. The given sample which is pyrolusite contains MnO2 and then treated with excess KI. Na2S2O3 solution is used to titrate the liberated iodine. Sulfuric acid is added as a catalyst as follows


In order to get the amount of iodine liberated, Na2S2O3 solution is used to titrate the iodine crystals as follows


The amount of iodine liberated or iodine crystals is
 
 

The amount of MnO2 is
 
 

Hence, the weight of MnO2 in a sample of pyrolusite is 
 
 

Therefore, the weight percent of MnO2 in a sample of pyrolusite is