Cooking For Engineers

[fogbound]

Assume that I start with 1 liter of the purest water possible, salt with zero impurities, and a controlled environment with regard to temperature, humidity and barometric pressure.
If I add salt to the water until it will no longer dissolve, I end up with what folks in food processing call a 100% brine solution.
My question is, if I start adding water to this solution, will the decrease in salinity be linear?
In other words, will adding another liter of water result in a 50% brine, or adding 4 liters a 20% solution?

[Dilbert]

hmmmm. you would wind up with a "saturated solution"

if you heat the water, more salt will dissolve, and you'll have a "super-saturated" solution.

a "percent" solution typically refers to the amount of salt by weight to the amount of water by weight.

dissolve one pound of salt in five pounds of water = 20% solution.

[fogbound]

“dissolve one pound of salt in five pounds of water = 20% solution.”
But even if that’s so, the question remains -- is the effect of any change in the ratio linear?
one pound of salt in ten pounds of water = 10% solution?
one pound of salt in one pound of water = 100% solution?
I'm not being argumentative, just lookin' for info.

[Dilbert]

a ratio by weight is most definitely linear.