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The molecular formula of glucose is C₆H₁₂O₆. What would be the molecular formula for a polymer made by linking six glucose molecules together by dehydration reactions?

a) C₃₆H₇₂O₃₆
b) C₃₆H₆₈O₃₀
c) C₃₆H₆₂O₃₁
d) C₃6H₆₈O₃₁

User Paulmey
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Final answer:

The molecular formula for a polymer made from six glucose molecules through dehydration reactions is C∨36H∨62O∨31., where five water molecules are removed in the process.

Step-by-step explanation:

The molecular formula for a polymer made by linking six glucose molecules together by dehydration reactions is C∨36H∨62O∨31.. Each glucose molecule has the formula C∨6H∨12∨O6. Dehydration reactions remove a water molecule (H2O) for each bond formed between glucose molecules. Since five water molecules are removed when six glucose molecules are joined (one from each linkage), the resulting polymer will have five less hydrogen and oxygen atoms than the total number of those atoms in the separate glucose molecules.

The total number of carbon atoms remains the same (6 carbons per glucose multiplied by 6 glucose units), so the polymer has 36 carbon atoms. For hydrogen and oxygen, we start with 12 hydrogens per glucose multiplied by 6 units, minus 10 hydrogens (5 water molecules with 2 hydrogens each), giving a total of 62 hydrogen atoms. Similarly, 6 oxygens per glucose multiplied by 6 units, minus 5 oxygens (one from each water molecule removed), gives a total of 31 oxygen atoms. Thus, the molecular formula of the polymer is C∨36H∨62O∨31., which makes answer choice (d) correct, C∨36H∨62O∨31.

User Duanev
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