Final answer:
The patient with symptoms post intense exercise and a sodium concentration of 128 mM is likely experiencing hyponatremia, a dilution of sodium in the blood due to excess water intake and electrolyte loss from sweating.
Step-by-step explanation:
The patient exhibiting symptoms of headache, vomiting, and weakness after an extensive bike ride on a hot day, and found to have a sodium concentration of 128 mM, is likely suffering from hyponatremia. This condition occurs when there is a lower-than-normal concentration of sodium in the blood, typically due to excess water accumulation that dilutes the body's sodium levels. This can happen through a combination of excessive sweating, which causes loss of sodium, and overhydration with plain water, which lacks adequate electrolytes to replenish the body's needs.