First time I've been on the Chemistry forum, but I'm having discussions with suppliers of sodium hypochlorite solution, and would be glad of any comments.
Their data sheet says (correctly) it's made according to Cl2 + 2 NaOH = NaClO + NaCl + H2O
Goes on to say
Conversion from % Active Chlorine (w/w) to % Sodium Hypochlorite (w/w)
% Sodium Hypochlorite = A x 74.45 / 71 where
A = Sodium Hypochlorite concentration as "% Active Chlorine" (w/w)
74.45 = Sodium Hypochlorite (NaClO) Molecular Weight
71 = Chlorine (Cl2) Molecular Weight
Data sheet has a table giving % available chlorine, % NaOCl and solution density for range 0 - 16% available chlorine.
I emailed them to say
"I believe it should read
Conversion from % Active Chlorine (w/w) to % Sodium Hypochlorite (w/w)
% Sodium Hypochlorite = A x 74.45 / 35.5 where A = Sodium Hypochlorite concentration as "% Active Chlorine" (w/w)
74.45 = Sodium Hypochlorite (NaClO) Molecular Weight
35.5 = Chlorine (Cl) Atomic Weight
It's the ratio NaOCl/Cl that matters, the fact that gaseous chlorine is Cl2 with mol. Wt. 71 is irrelevant."
They replied "First remark: "It's the ratio NaOCl/Cl that matters, the fact that gaseous chlorine is Cl2 with mol. Wt. 71 is irrelevant."
Is not correct: one mol Cl2 gives 1 mol NaOCl (see reaction scheme) so the ratio to go from one to the other needs 71 as molecular weight for chlorine. The other atom of chlorine is used to make NaCl. If you take only 1 atom of chlorine (35.5) than you only can end up with 0.5 molecule of hypo."
My response - "I appreciate that 2 atoms of chlorine are involved in the reaction, but only one of these ends up in the NaOCl, and becomes available chlorine in the product. So there is just one atom of available chlorine in NaOCl (as is obvious from the formula), and the ratio NaOCl/available chlorine must be 74.5/35.5.
You say "If you take only 1 atom of chlorine (35.5) than you only can end up with 0.5 molecule of hypo." I agree, and that means 2 atoms of chlorine yield 1 molecule of hypo. I'd just add that only one of the chlorine atoms goes into the NaOCl, the other into NaCl, as you say above and in the data sheet. The chloride ion in NaCl does not of course provide available chlorine."
I also pointed out - "A further indication something is wrong is given by the solution density. As you no doubt know, when dissolving a salt (or other solute) in water, the volume of water does not increase significantly, at least for moderate concentrations. Therefore if a solution contains fraction x solute, 1 kg solution contains x kg solute and 1-x kg water = 1 litre water. So the solution density = 1/(1-x) kg/l. For higher concentrations the volume increases somewhat, so the density is less than the above, usually about 1+x kg/l, though it varies somewhat depending on the solute.
To take the case 15% active chlorine, if that were 15.75% NaOCl as in the table, the highest the density could be is 1/(1-0.1575) = 1.187 kg/l. To give density 1.243 kg/l the volume of solution would have to be smaller than that of the water before the NaOCl is added, which if not impossible is extremely unlikely."
Their reply - "Your statement: "a solution contains fraction x solute, 1 kg solution contains x kg solute and 1-x kg water = 1 litre water"
is not correct: there is the weight of 1 liter of water PLUS the solute weight in a volume of 1 liter (1dcm³). The density increases with higher concentration."
I replied "No, that would be roughly correct for w/v concentration, but even then, starting with 1 litre water and adding the solute, the resulting volume is greater than 1 litre, for concentration anything above a few %.
But chemicals are supplied as % w/w, i.e. X kg chemical per 100 kg of solution as supplied. The data sheet confirms this. To take an example, caustic soda can be supplied as 46% w/w, or 46 kg NaOH/100 kg solution. So 100 kg solution contains 54 kg water = 54 litre water. 46 kg NaOH is dissolved in 54 litre water to produce 100 kg solution. If the volume of solution was equal to the initial volume of water the density would be 100 kg/54 litre = 1.85 kg/litre. In practice the volume of solution is greater than 54 litre and the density is lower, about 1.5 kg/litre. That means 100 kg solution occupies 100/1.5 litre, and NaOH content on w/v basis = 46*1.5/100 = 0.69 kg/litre = 690 kg/m3.
To take the case 15% active chlorine, if that were 15.75% w/w NaOCl as in the table, 100 kg solution would contain 15.75 kg NaOCl and 84.25 kg water = 84 25 litre water. If the volume of solution = 84.25 litre the density = 100/84.25 = 1.19 kg/litre. In practice the density is likely to be lower, rather than 1.243 kg/l as in the data sheet."
I've had no response to my second email. I'm convinced I'm right (I would wouldn't I?) but what do you guys think?