Final answer:
The nonpolar fatty acid chains in the cell membrane prevent the cell from dissolving.
Step-by-step explanation:
The part of the cell membrane that is nonpolar and prevents the cell from dissolving is the fatty acid chains. The cell membrane is made up of a phospholipid bilayer, with the hydrophilic phosphate heads facing the watery environment both inside and outside the cell, and the hydrophobic fatty acid tails facing each other within the membrane. These nonpolar fatty acid chains act as a barrier, preventing water and other polar substances from freely entering or leaving the cell.
Learn more about cell membrane structure and function