Re-post by request
-- 
oozing on the muggy shore of the gulf coast
  l...@fbtc.net
--- Begin Message ---
Greeting to all astute silver makers and users,
 
   A friend of mine asked,"How much silver is in that spoon of CS." Told
 him I didn`t know ,but would calculate it for him. This is what I did
 and you can too. This is going to be technical but try it any way, your
 probably smarter than you thought.
 
   We will start buy determining what a *chemical equivalent* is.
 
  The chemical equivalent is the atomic weight of an element divided by
 its valence number. That will be  (w)/ (z).
      atomic weight  =w
      valence no.    =z
  Look at this Table:
     atomic weight in grams     valence number
    Cu  copper   63.57          +2
    Ag  silver  107.88          +1
    Au  gold    196.97          +1
 
     This will give us :
   Cu  copper     63.57/2    =31.785   ( one chemical equivalent)
   Ag  silver    107.88/1    =107.88   ( one chemical equivalent)
   Au  gold      196.97/1    =196.97   ( one chemical equivalent)
 
     The quantity of electricity to liberate *one chemical equivalent*of 
 a substance can be found this way.
   We will keep two phyical constants in mind as we do this.
 
      1. A coulomb of electricity will deposit 6.25x10+18 atoms in one
         second of time.
      2. Avogardo`s constant states the number of atoms in a substance
         is always 6.06x10+23 atoms in a *gram-atom* of the substance.
   This means that there will be:
 
      6.06x10+23 atoms in  107.88 grams of silver. (one chem. equiv.)
      6.06x10+23 atoms in  196.97 grams of gold.   (one chem. equiv.)
      6.06x10+23 atoms in   63.57 grams of copper. (two chem. equiv.)
 
     To liberate the 107.88 grams of silver will require:
     6.06x10+23  divided by  6.25x10+18  = 96,500 coulombs of elec.
     atoms in silver         atoms in amp.
 
      Remember that 6.25x10+18 is a *coulomb* or *one ampere* of
current.
      To reduce 107.88 grams of silver will require 96,500 amps of
 current over a period of time.
      96,500 coulombs of electricty will liberate one chemical
 equivalent      of any substance, or in our case, 107.88 grams of
silver
 ,or
      6.06x10+23 silver atoms.
 
    Now we will make a table of currents vs * chem. equiv.* :
 
    A current of TEN amps for ONE hour will be 36,000 coulombs.
    and we need 96,500 coulombs to reduce *one chem. equiv.*.
 
   So we will have:
 
      10 amps for one hr.          = 0.373 chem equiv   (36,000/96,500)
       5 amps for one hr.          = 0.186 chem equiv
       1 amp for one hr.           = 0.037 chem equiv
     0.5 amp for one hr.(500ma)    = 0.0186 chem equiv
     0.1 amp for one hr.(100ma)    = 0.00373 chem equiv
    0.01 amp for one hr.(10ma)     = 0.000373 chem equiv
   0.009 amp for one hr.(9ma)      = 0.0003357 chem equiv
   0.008 amp for one hr.(8ma)      = 0.0002984 chem equiv
   0.007 amp for one hr.(7ma)      = 0.0002611 chem equiv
   0.006 amp for one hr.(6ma)      = 0.0002238 chem equiv
   0 005 amp for one hr.(5ma)      = 0.0001865 chem equiv
   0.004 amp for one hr.(4ma)      = 0.0001492 chem equiv
   0.003 amp for one hr.(3ma)      = 0.ooo1119 chem equiv
   0.002 amp for one hr.(2ma)      = 0.0000746 chem equiv
   0.001 amp for one hr.(1ma)      = 0.0000373 chem equiv
 
    Remember that the chem. equiv. of a substance equals the ratio of
 atomic weight in grams divided by valence number, and the chem. equiv.
 for silver is 107.88 .
  If we ran 7ma of current for one hr. we would liberate
        107.88 x 0.0002611 =0.02816 grams of silver in our water.
 
           Keep this number in mind,(jot it down).
 
   Now we will look at the Faraday Laws of Electrolysis.
 
    The one which concerns us says **THE MASS OF A SUBSTANCE LIBERATED 
IN
 AN ELECTROLITIC CELL IS PROPORTIONAL TO THE QUANTY OF ELECTRICITY
 PASSING THROUGH THE CELL.**
    The amount of material liberated for each coulomb is called the
    *Electrochemical Equiv.* of a substance.
 
   This is also *Chem. Equiv.* divided by 96,500  or  = Electrochem.
 Equiv.
   Electrochem equiv is called *k*
   The  k for silver is 107.88 /96,500  or  =0.001118
        k for gold is   196.97 / 96,500     =0.002041
        k for copper is  31.8  / 96,500     =0.0003295
 
   Faradays  equation for electrolysis is   m =kIt
     That is mass in grams = electrochem equiv times current times time
                       m =  k x I x t    or
                       m =  k x coulombs  , I x t  = coulombs
     Now we have  m= mass in grams
                  k= electrochem equiv  (atom weight divided by valence
                                         times 96,500)

                  I= current in amps
                  t= time in seconds
      Now for 7ma of current for one hr. we have:
          0.001118 x 25.2 coulombs  =0.028159 gm of silver
 
            round 0.028159  to 0.02816 gm of silver ( now look at the
            number you jotted down before. Viola ! We have done it!
 
      We ran a currunt of 7ma for one hr. and got 0.02817 gm of
silver        in
 the water we are using. Now if it was 8oz of water the silver is in the
 8oz of water. Thats 0.02817 gm in 8oz of water. there are 48 teasoons
 in  8oz of water. So we  divid 0.02817 by 48 and get 0.0005868 gm of
 silver in one teaspoon of CS. That also 0.5868 milligram (mgm) of
 silver.
   If we had a current of 3ma for one hr. it would be 0.01207 gm in 8oz
 of water or 0.0002514 gm in one teaspoon or 0.2515 mgm of CS. A little
 over 1/4 mgm of silver.
 
    But my current starts low and slowly gets higher as it goes. The way
 I do it is to read the current every 5min and addup the readings and
 take the average. If my current started at .5ma and stopped at 7ma 
after
 an hr. the ave would be about 3.5ma.
 
   Will stop here and give it a rest. Tomorrow will tell you how to find
 how many atoms of silver are in your CS.
 
   Bless you all,    especially if you read this long post.
   Bob Lee
 
 Hi Ken,
 Repost of long ago subject which may be of interest to you


-- 
oozing on the muggy shore of the gulf coast
  l...@fbtc.net


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