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Starting from glycerol, how will you obt...

Starting from glycerol, how will you obtain the following ?
(a) Acrolein (b) Allyl alcohol
(c ) 2-Iodopropane (d) Nitroglycerine
(e ) 1,2,3-Trichloropropane (f) Glyceric acid

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(a) Heat with `KHSO_(4)` or `P_(2)O_(5)` (b) heat with oxalic acid at 533K (c ) treat with large amount of HI(d) treat with a mixture of conc. `H_(2)SO_(4)` and fuming nitric acid (e ) treat with `PCl_(5)` (f ) treat with conc. `HNO_(3)`.
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OP TANDON-ALCOHOLS, PHENOLS AND ETHERS-PROBLEM FOR PRACTICE
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