An infant's urine turning black upon standing is indicative of a specific metabolic disorder. To determine the likely disorder, we analyze the provided options:
- Phenylketonuria: A disorder characterized by a deficiency in the enzyme phenylalanine hydroxylase, leading to the accumulation of phenylalanine but not associated with black urine.
- Alkaptonuria: Caused by a deficiency in homogentisate 1,2-dioxygenase, leading to the accumulation of homogentisic acid. This acid oxidizes to a dark color upon standing, making urine black.
- Homocystinuria: Caused by a deficiency in cystathionine beta-synthase, leading to the accumulation of homocysteine. It does not cause black urine.
- Maple Syrup Urine Disease: Caused by a deficiency in branched-chain alpha-keto acid dehydrogenase complex, leading to a characteristic maple syrup odor in urine but not a change to black upon standing.
Given the symptoms, Alkaptonuria is the most likely disorder as it matches the symptom of urine darkening upon exposure to air.