1. The quality or state of being insoluble; inability to be dissolved in a liquid (especially water).
Usage: Plural form of insolubility; Commonly used in chemistry and scientific contexts
2. The quality of being impossible to solve or resolve; an unsolvable problem or difficulty.
Usage: Figurative use; less common than the chemical sense

Examples

• The insolubilities of certain minerals make them difficult to extract from ore.
• Salt has low insolubilities in some organic solvents compared to water.
• The insolubilities of the ancient mystery have puzzled historians for centuries.
• Chemists study the insolubilities of compounds to understand their properties.
• Despite years of research, the insolubilities of the problem remain a challenge.
• The insolubilities of chalk in water make it useful for writing on blackboards.