Heh, call me anything except Murray.
Sorry to take so long. That's a very good question.
The numbers you circled are based on ratios of molecular weights. Some molecules are small and simple and don't weigh much, while others are composed of a lot of atoms and can weigh much more. These are the molecular weights of the 4 molecules involved in this chemical reaction:
acetic acid 60
sodium acetate 82
sodium hydroxide 40
water 18
The chemical reaction is:
1 acetic acid + 1 sodium hydroxide ---> 1 sodium acetate + 1 water
1 molecule acetic acid weighing 60 and 1 molecule sodium hydroxide weighing 40 yield 1 molecule sodium acetate weighing 82 and 1 molecule of water weighing 18. The total weight is the same on both sides because stuff can't just disappear or come out of thin air.
60 + 40 = 100 ---> 82 + 18 = 100
This ratio of weights holds at any level. 60 tons acetic acid reacted with 40 tons NaOH yields 82 tons sodium acetate and 18 tons of water. Or ounces or grams or pounds or milligrams. The units don't matter, just the relative weights.
So what is the relative weight of acetic acid to sodium acetate in this reaction? It's 60/82 = .73. To make 82 grams (or any other amount) of sodium acetate, we multiply it by .73, which is 60 grams acetic acid. To make 10 grams sodium acetate, multiply by .73 and you need 7.3 grams acetic acid.
We will be needing sodium hydroxide too, which is the same thing except 40 per 82, which is 40/82 = .49.
TOMH <-
Thank you! You explained that perfectly, I will have to read it a couple of more times to bring it all together, but now it makes sense to me. Your complete and detailed answer is appreciated. I'm like Teresa I have to know why before I get it.