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convert acetic acid into formic acid

$C H_{3} C O O H \overset{P C l_{5}}{\to} C H_{3} C O C l \frac{4 [H]}{Z n / H g - H C l} C H_{3} C H_{2} C l \overset{N a N H_{2}}{\to} C H_{2} = C H_{2} C H_{2} = C H_{2} \overset{A l k . K M n O_{4}}{\to} 2 H C O O H$

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