A soap is an organic molecule that has a polar/hydrophilic end and a nonpolar/hydrophobic end. The polar end typically has a hydroxyl functional group, which acts like a weak acid in water.
Hard water is water that has a relatively large solute load, typically calcium, magnesium and other metals.
When you add a soap to hard water, the metal ions in the water attach themselves to the polar end and you get a precipitate of the salt form of the soap. This inactivates the soap. However, if you add enough soap, you will effectively "soften" the water by pulling enough metal ions out of solution to still have active soap molecules in the water.
Equal quantities.
Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.
Identical quantities can be added (or subtracted) from each side. Each side can also be multiplied (or divided) by any quantity.
no
Only like terms can be added or subtracted. 10m and 1s cannot be added; but divided, 10 m/s becomes a velocity.
Equal
Equal quantities may be added to both sides of a linear equation.
Enzymes are sensitive to changes in pH and only work with a relatively small pH range. Since vinegar is an acid, the pH of the solution containing the enzymes is changes when vinegar is added.
are called dopants
Quantities that are equal can be added or subtracted from both sides of an equasion. For example: x + 2 = 36 subtract both sides by 2 x = 34
No, scalar can be added together directly, whereas vectors can only add their separate components together.
During the determination of the partial molal quantities the weight of the solution to which a substance is added is taken into consideration while in case of the partial molar quantity the volume is taken into consideration.