Step 1: Understanding the Question:
The question asks to identify the chemically fully active hormol metabolite derived from Vitamin D in the human body.
Step 2: Key Formula or Approach:
Vitamin D undergoes a series of two sequential hydroxylation reactions in the liver and kidneys to reach its biologically active form:
\[
\text{7-Dehydrocholesterol} \xrightarrow{\text{UV Light}} \text{Cholecalciferol (Vit } D_3) \xrightarrow[\text{Liver}]{25\text{-hydroxylase}} 25(\text{OH})D_3 \xrightarrow[\text{Kidney}]{1\alpha\text{-hydroxylase}} 1,25(\text{OH})_2D_3
\]
Step 3: Detailed Explation:
• Cholecalciferol (Vitamin D$_3$): Produced in skin exposed to UV-B radiation or ingested via diet; it is biologically ictive precursor.
• 25-Hydroxycholecalciferol (Calcidiol): Major circulating precursor form produced in the liver by 25-hydroxylase.
• 1,25-Dihydroxycholecalciferol (Calcitriol): Formed in rel proximal tubules via $1\alpha$-hydroxylase. Calcitriol is the fully functiol active steroid-like hormone.
• Biological Action: Calcitriol binds nuclear Vitamin D Receptors (VDR) to regulate gene expression responsible for intestil calcium and phosphate absorption and bone mineralization.
Step 4: Fil Answer:
The active hormone form of Vitamin D is calcitriol ($1,25\text{-dihydroxycholecalciferol}$).