The correct answer is: Both A and R are true but R is not a correct explanation of A.
Synthetic detergents can lather when in hard water because they are made with long, hydrocarbon chains that are able to form micelles. Micelles are spherical aggregates of detergent molecules with the hydrophobic tails pointing inward and the hydrophilic heads pointing outward. This allows the detergent molecules to surround and remove dirt and oil from surfaces.
However, the formation of micelles is also affected by the presence of calcium and magnesium ions in hard water. These ions can bind to the hydrophobic tails of the detergent molecules, preventing them from forming micelles. This results in a decrease in the amount of lather that is produced.
Therefore, both A and R are true. However, R is not a correct explanation of A. The formation of micelles is not the only factor that affects the ability of detergents to lather in hard water. The presence of calcium and magnesium ions also plays a role.
Here is a more detailed explanation of each option:
- Both A and R are true and R is the correct explanation of A. This option is incorrect because R is not a correct explanation of A. The formation of micelles is not the only factor that affects the ability of detergents to lather in hard water. The presence of calcium and magnesium ions also plays a role.
- Both A and R are true but R is not a correct explanation of A. This option is correct because both A and R are true, but R is not a correct explanation of A.
- A is true but R is false. This option is incorrect because R is true.
- A is false but R is true. This option is incorrect because A is true.