Q.The most basic amino acid is
Step 1. Establish what 'most basic' means here. The basicity of an amino acid's side chain depends on how strongly its R-group can hold a positive charge (i.e., how high its side-chain pKa is) at physiological pH - the higher the pKa, the more strongly and completely the group stays protonated (positively charged).
Step 2. Check option (b) Histidine. Histidine's imidazole side chain has a pKa of only about 6.0, so it is only weakly and partially protonated at physiological pH (~7) - it is basic, but only mildly so.
Step 3. Check option (c) Glycine and option (d) Glutamine. Glycine's side chain is a single hydrogen atom with no ionisable group at all, so it contributes no basicity whatsoever. Glutamine's side chain is a neutral amide group, which is also not ionisable/basic under normal physiological conditions.
Step 4. Check option (a) Arginine. Arginine's side chain carries a guanidinium group with a pKa of about 12.5, the highest of any standard amino acid, so it remains fully protonated (positively charged) across almost the entire physiological pH range - making it clearly the most basic of the four options.
Arginine is the most basic amino acid because its guanidinium side chain has the highest pKa (about 12.5) of the standard amino acids, keeping it positively charged across virtually the whole physiological pH range.
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