What will be the molecular formula of a polypeptide consisting of 10 glycine when the formula of glycine is `C_(2)H_(5)O_(2)N_ ?

Options

A. `C_(6)H_(12)ON_(5)`
B. `C_(20)H_(32)O_(11)N_(10)`
C. `C_(30)H_(16)O_(6)N_(10)`
D. `C_(25)H_(16)O_(6)N_(5)`

Explanation

To find the molecular formula of a polypeptide consisting of 10 glycine molecules, we start with the molecular formula of glycine, which is \( C_2H_5O_2N \).

### Step-by-Step Solution:

1. **Identify the formula of glycine**: The molecular formula for glycine is \( C_2H_5O_2N \).

2. **Multiply the formula by the number of glycine molecules**: Since we have 10 glycine molecules, we multiply each component of the glycine formula by 10:
\[ C: 2 \times 10 = 20 \\ H: 5 \times 10 = 50 \\ O: 2 \times 10 = 20 \\ N: 1 \times 10 = 10 \]
This gives us:
\[ C_{20}H_{50}O_{20}N_{10} \]

3. **Account for the formation of peptide bonds**: When glycine molecules join to form a polypeptide, they lose water molecules (H2O) during the formation of peptide bonds. Specifically, for 10 glycine molecules, 9 water molecules are removed (since each bond formation between two amino acids releases one water molecule).

4. **Subtract the water molecules**: Each water molecule consists of \( H_2O \), which contributes \( H_2 \) and \( O \) to the total count. Therefore, for 9 water molecules:
\[ H: 2 \times 9 = 18 \\ O: 1 \times 9 = 9 \]
We subtract these from the total we calculated earlier:
\[ C_{20}H_{50}O_{20}N_{10} - H_{18}O_{9} \]
This results in:
\[ C_{20}H_{50 - 18}O_{20 - 9}N_{10} = C_{20}H_{32}O_{11}N_{10} \]

5. **Final molecular formula**: The final molecular formula for the polypeptide consisting of 10 glycine molecules is:
\[ C_{20}H_{32}O_{11}N_{10} \]

### Conclusion:
The molecular formula of the polypeptide consisting of 10 glycine is \( C_{20}H_{32}O_{11}N_{10} \).