A small segment of a polypeptide gave on complete hydrolysis 3 molecules of alanine, 2 molecules of glycine, and 3 molecules of cysteine. What is the number of peptide linkages in the segment of the polypeptide?
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Think of amino acids as railroad cars. To couple 8 train cars together in a single straight line, you only need 7 couplers. Similarly, an 8-residue peptide chain contains exactly $8 - 1 = 7$ peptide bonds!
Concept:
A polypeptide chain is formed through condensation reactions between individual amino acid monomers. Each linkage formed between the carboxyl group ($-\text{COOH}$) of one amino acid and the amino group ($-\text{NH}_2$) of the next is called a peptide bond ($-\text{CO}-\text{NH}-$).
For an unbranched linear polymer chain composed of $N$ amino acid residues, the total number of intermediate peptide bonds linking them together is always:
\[
\text{Number of Peptide Linkages} = N - 1
\]
Step 1: Sum the total number of individual amino acid units ($N$).
From the complete hydrolysis data, the structural fragments consist of:
• Alanine units $= 3$
• Glycine units $= 2$
• Cysteine units $= 3$
Total number of amino acid monomers ($N$) in the segment:
\[
N = 3 + 2 + 3 = 8\text{ amino acids}
\]
Step 2: Calculate the total number of linking peptide bonds.
Using our polymer connection relationship:
\[
\text{Peptide Linkages} = 8 - 1 = 7
\]