Carbon tetrachloride and Aluminium trichloride both are non-polar compounds. In presence of water forms non-conducting liquid whereas conducts current.
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Solution
Carbon tetrachloride is insoluble in water due to its non polar nature.
As like dissolve like, therefore it does not have free ions to conduct current.
Whereas Aluminium trichloride being hygroscopic in nature partially dissolves in water.
It can dissociates in and ions and hence conduct current.