Useful Information:                                                                  sodium metam: Commercial grade sodium metam is 33% pure sodium metam by weight and has a density of 1.2 g/mL. Hydrolysis of metam                                   (Methyl isothiocynate) + H2S Rate constants for hydrolysis for metam (base catalyzed hydrolysis is negligible)  = 300 mol -1 L. sec -1 ,  = 1 x 10-8 sec-1 Metam also undergoes photolysis to methyl isothiocyanate with a half-life of 1.6 hrs. Data for Sacramento River discharge Q     = 75,000 L/min mean depth     = 0.30 m                pH     = 7.8          mean width     = 3.2 m dispersion coefficient D   = 1.6 x 102 m2/min Assuming the spill acts acts as a single point source. How long does it take for the maximum contaminant concentration to get to Lake Shasta? If Na+ acts as conservative (i.e., it is not transformed) tracer, calculate the maximum concentration (in g/L) at Lake Shasta. (Hint: remember that sodium only constitutes a fraction of the total mass of sodium metam, you will need to use molar masses) Calculate the maximum concentration of metam that will be encountered at Lake Shasta if photolysis is the only mechanism of transformation. Calculate the maximum concentration of metam that will be encountered Lake Shasta if photolysis and hydrolysis are both occurring.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Useful Information:                                                                 

sodium metam: Commercial grade sodium metam is 33% pure sodium metam by weight and has a density of 1.2 g/mL.

Hydrolysis of metam                                   (Methyl isothiocynate) + H2S

Rate constants for hydrolysis for metam (base catalyzed hydrolysis is negligible)

 = 300 mol -1 L. sec -1 ,  = 1 x 10-8 sec-1

Metam also undergoes photolysis to methyl isothiocyanate with a half-life of 1.6 hrs.

Data for Sacramento River

discharge Q     = 75,000 L/min

mean depth     = 0.30 m

               pH     = 7.8         

mean width     = 3.2 m

dispersion coefficient D   = 1.6 x 102 m2/min

  1. Assuming the spill acts acts as a single point source. How long does it take for the maximum contaminant concentration to get to Lake Shasta?
  2. If Na+ acts as conservative (i.e., it is not transformed) tracer, calculate the maximum concentration (in g/L) at Lake Shasta. (Hint: remember that sodium only constitutes a fraction of the total mass of sodium metam, you will need to use molar masses)
  3. Calculate the maximum concentration of metam that will be encountered at Lake Shasta if photolysis is the only mechanism of transformation.

Calculate the maximum concentration of metam that will be encountered Lake Shasta if photolysis and hydrolysis are both occurring. 

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