Question:

In addition of bromine in \(CCl_4\) to an alkene resulting in disappearance of reddish brown colour of bromine constitutes an important method for the detection of ________ in a molecule.

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When a problem specifies "positive numbers," always reject the negative root obtained from the quadratic equation.
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Solution and Explanation

Concept:
Bromine test is a common qualitative test used in organic chemistry to detect unsaturation in hydrocarbons.
Explanation:

Bromine in carbon tetrachloride (\(CCl_4\)) has a reddish-brown colour.
When an alkene is added, bromine undergoes an addition reaction across the double bond.
This reaction removes the colour of bromine solution.
Reaction:
\[ R{-}CH=CH{-}R + Br_2 \rightarrow R{-}CHBr{-}CHBr{-}R \]
Conclusion:
Disappearance of bromine colour indicates the presence of a double bond or unsaturation in the molecule. \[ \boxed{\text{Answer: Unsaturation}} \]
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