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What will the formula of a polysaccharid...

What will the formula of a polysaccharide formed by the condensation of 60 ribose sugar units.

A

`C_(300)H_(600) O_(300)`

B

`C_(300)H_(480)O_(240)`

C

`C_(300)H_(482)O_(241)`

D

`C_(300)H_(478)O_(238)`

Text Solution

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The correct Answer is:
To determine the formula of a polysaccharide formed by the condensation of 60 ribose sugar units, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Formula of Ribose**: The molecular formula of ribose is C₅H₁₀O₅. 2. **Calculate the Total Number of Atoms in 60 Ribose Units**: - For 60 ribose sugar units, the total number of carbon (C), hydrogen (H), and oxygen (O) atoms can be calculated as follows: - Carbon: 60 × 5 = 300 - Hydrogen: 60 × 10 = 600 - Oxygen: 60 × 5 = 300 Therefore, without considering the condensation, we have: - C = 300 - H = 600 - O = 300 3. **Account for Water Molecules Lost During Condensation**: - When 60 ribose units condense, 59 water molecules (H₂O) are released (since each condensation reaction between two sugars releases one water molecule). - Each water molecule consists of 2 hydrogen atoms and 1 oxygen atom. 4. **Calculate the Total Atoms After Condensation**: - **Hydrogen**: - Initial H = 600 - Water lost = 59 × 2 = 118 - Remaining H = 600 - 118 = 482 - **Oxygen**: - Initial O = 300 - Water lost = 59 - Remaining O = 300 - 59 = 241 5. **Final Molecular Formula**: After accounting for the loss of water, the final molecular formula for the polysaccharide formed by the condensation of 60 ribose sugar units is: - C₃₀₀H₄₈₂O₂₄₁ ### Final Answer: The formula of the polysaccharide formed by the condensation of 60 ribose sugar units is C₃₀₀H₄₈₂O₂₄₁.
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