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Since I2IX2$\ce{I2}$ is a non-polar covalent molecule, it does not ionize in water. It cannot also be soluble in the polar water.

KIKI,$\ce{KI}$ which is a polar, ionic compound, will ionize and dissolve in water. When KI$\ce{KI}$ dissolves in water, it ionizes to K+KX+$\ce{K+}$ and I−IX−$\ce{I-}$.

The I−IX−$\ce{I−}$ will react with I2IX2$\ce{I2}$ to form the complex ion I3−IX3X−$\ce{I3-}$. I3−IX3X−$\ce{I3-}$ being negatively charged will dissolve in water.

Since I2IX2 is a non-polar covalent molecule, it does not ionize in water. It cannot also be soluble in the polar water.

KIKI, which is a polar, ionic compound, will ionize and dissolve in water. When KI dissolves in water, it ionizes to K+KX+ and I−IX−.

The I−IX− will react with I2IX2 to form the complex ion I3−IX3X−. I3−IX3X− being negatively charged will dissolve in water.

Since $\ce{I2}$ is a non-polar covalent molecule, it does not ionize in water. It cannot also be soluble in the polar water.

$\ce{KI}$ which is a polar, ionic compound, will ionize and dissolve in water. When $\ce{KI}$ dissolves in water, it ionizes to $\ce{K+}$ and $\ce{I-}$.

The $\ce{I−}$ will react with $\ce{I2}$ to form the complex ion $\ce{I3-}$. $\ce{I3-}$ being negatively charged will dissolve in water.

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Since I2IX2 is a non-polar covalent molecule, it does not ionize in water. It cannot also be soluble in the polar water.

KIKI, which is a polar, ionic compound, will ionize and dissolve in water. When KI dissolves in water, it ionizes to K+KX+ and I−IX−.

The I−IX− will react with I2IX2 to form the complex ion I3−IX3X−. I3−IX3X− being negatively charged will dissolve in water.