[kiowes]

I have begun using White Vinegar (Ascetic Acid) and Bicarbonate of Soda (HCO3) in my washing machine to clean my clothes (both whites and colours).

I know that if the two are placed in at the same time they will react with each other, rather than the clothes, which would be utterly futile. So I put them in on different cycles:

1. The first cycle with the  vinegar, which I just place straight into the drum with the clothes.

2. The cycle after that will be with the Bicarbonate of soda,  again just placing into the drum.

3. After these two cycles I put a rinse cycle on to get everything out.

My results have been consistently positive, I do not have to use washing powder at all, my clothes are clean, I'm satisfied.

However, I'm not content with the volume of the two compounds I'm using, I just go by eye, I don't measure them and would like to know the best way to measure how much I would need i.e. by weight  or volume of the clothing..

I understand both imperial and metric measurements.

[billnotgatez]

There are several formulas you can use when depicting what is going on when you mix ethanoic acid (acetic acid)(CH₃COOH or CH₃CO₂H or C₂H₄O₂) and sodium hydrogen carbonate (Sodium bicarbonate)(NaHCO₃) as discussed in the following link
What Is the Equation for the Reaction Between Baking Soda and Vinegar?
http://chemistry.about.com/od/chemicalreactions/f/What-Is-The-Equation-For-The-Reaction-Between-Baking-Soda-And-Vinegar.htm

One of the forulas given was
NaHCO₃ + HC₂H₃O₂ → NaC₂H₃O₂ + H₂O + CO₂
Rewritten with acetic acid formula rearranged
NaHCO₃ + C₂H₄O₂ → NaC₂H₃O₂ + H₂O + CO₂

From WIKI
https://en.wikipedia.org/wiki/Acetic_acid
For Chemical formula C₂H₄O₂
the Molar mass is 60.05 g·mol−1

https://en.wikipedia.org/wiki/Sodium_bicarbonate
For Chemical formula NaHCO₃
the Molar mass is 84.0066 g mol−1

Based on the rewritten formula above the complete reaction for combining C₂H₄O₂ and NaHCO₃, we get 1 mole of each.

So 60.05 grams of pure acetic acid will react with 84.0066 grams of pure Sodium bicarbonate.
Note that products our of the box or bottle are not pure For instance, Vinegar is roughly 3–9% acetic acid by volume.

What happens in the washing machine and all cycles, dilutions and etc. is more than I can compute.

[kiowes]

Thank you very much for your help, it's good to see such a detailed answer. Unfirtunately, I had to wait until I saw my scientist friend, who told me that your reply likely hinged on the interpretation that I wanted the two chemicals to react. I did not, I'm looking for them to react with the clothing, each of the two chemicals is put through a separate cycle as they would only react with  each other and not the clothes otherwise.

 even still, we concluded that due to the number of variables it was very difficult to summarise steady measure.