Final answer:
The most likely etiology of this woman's electrolyte abnormalities is chronic renal disease with acidosis due to poor tubular reabsorption of Na.
Step-by-step explanation:
The most likely etiology of this woman's electrolyte abnormalities is chronic renal disease with acidosis due to poor tubular reabsorption of Na. The presence of trace protein and 3+ blood in the urinalysis, along with the absence of casts or bacteria, suggests kidney dysfunction. The electrolyte abnormalities, such as low potassium (3.0 mmol/L) and low bicarbonate (12 mmol/L), are consistent with acidosis resulting from impaired tubular reabsorption of sodium in the kidney.