What is the formula of a polypeptide consisting of 10 glycine molecules? The formula of glycines `C_(2)H_(5)O_(2)` -

Options

A. `C_(6)H_(12)O_(0)`
B. `C_(20)H_(32)O_(11)`
C. `C_(30)H_(16)O_(6)`
D. `C_(25)H_(16)O_(6)`

Answer

To find the formula of a polypeptide consisting of 10 glycine molecules, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Formula of Glycine**:
The formula for glycine is given as \( C_2H_5O_2 \).

2. **Calculate the Total Number of Atoms in 10 Glycine Molecules**:
Since there are 10 glycine molecules, we can multiply the number of each atom in the glycine formula by 10:
- Carbon (C): \( 2 \times 10 = 20 \)
- Hydrogen (H): \( 5 \times 10 = 50 \)
- Oxygen (O): \( 2 \times 10 = 20 \)

So, the total formula before considering the peptide bond formation is \( C_{20}H_{50}O_{20} \).

3. **Account for Peptide Bond Formation**:
When amino acids link together to form a polypeptide, a molecule of water (H2O) is released for each peptide bond formed. For 10 glycine molecules, there will be 9 peptide bonds (since the first molecule does not form a bond).
- Each peptide bond formation removes 1 carbon, 2 hydrogens, and 1 oxygen from the total count.
- Therefore, for 9 peptide bonds, we subtract:
- Carbons: \( 9 \)
- Hydrogens: \( 18 \)
- Oxygens: \( 9 \)

4. **Calculate the Final Formula**:
- Final Carbon count: \( 20 - 9 = 11 \)
- Final Hydrogen count: \( 50 - 18 = 32 \)
- Final Oxygen count: \( 20 - 9 = 11 \)

Thus, the final formula for the polypeptide is \( C_{11}H_{32}O_{11} \).

### Final Answer:
The formula of the polypeptide consisting of 10 glycine molecules is \( C_{11}H_{32}O_{11} \).

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