Methane can not be prepared by :

Wurtz reaction

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Decarboxylation

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Kolbes reaction

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Sabatier - senderens reaction

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Solution

The correct options are
A Wurtz reaction
B Kolbes reaction
D Sabatier - senderens reaction
Wurtz reaction: $R X + 2 N a + X R \to R - R + 2 N a X$
Kolbe's electrolysis: $2 R C O O K + 2 H_{2} O \to R - R + 2 C O_{2} + 2 K O H + H_{2}$
Sabatier senderens reaction:
$C_{n} H_{2 n} + H_{2} \to C_{n} H_{2 n + 2} + h e a t$
In kolbe process and Sabatier - senderens reaction R-R forms as a product so methane can not be formed by these methods.

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