Answer:
Allyl alcohol will give white turbidity with Lucas reagent immediately, but n-propyl alcohol does not react at room temperature. Actually in allyl alcohol, the allyl carbocation left after the release of \[O{{H}^{-}}\] ion is resonance stabilized which means that C?OH bond can be very easily cleaved by HCl. But the C?OH bond cleavage is not so easy in n-propyl alcohol because n-propyl carbocation is not resonance stabilised.
\[C{{H}_{2}}=CH-C{{H}_{2}}-OH\xrightarrow{{{H}^{+}}\,(Acid)}C{{H}_{2}}=CH-C{{H}_{2}}-\overset{+}{\mathop{O}}\,\,{{H}_{2}}\xrightarrow{-{{H}_{2}}O}\,[C{{H}_{2}}=CH-\overset{\oplus }{\mathop{C}}\,\,{{H}_{2}}\leftrightarrow \overset{\oplus }{\mathop{C}}\,\,{{H}_{2}}-CH=C{{H}_{2}}]\]
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