Iron exhibits bcc structure at room temperature. Above , it transforms to fcc structure. The ratio of density of iron at room temperature to that at (assuming molar mass and atomic radii of iron rema

Question

Iron exhibits bcc structure at room temperature. Above , it transforms to fcc structure. The ratio of density of iron at room temperature to that at  (assuming molar mass and atomic radii of iron remains constant with temperature) is

Canvas Classes · Accepted Answer

🧠 The Density Duel
Density is simply "Mass per Volume." Since the mass remains the same (same sample of Iron), comparing the densities is purely a game of comparing how "tightly packed" the atoms are in the bcc vs fcc unit cells.

🗺️ The Geometry Route
1. Density Formula: .
2. For BCC (Room Temp):
   - .
   - Relation: .
3. For FCC ():
   - .
   - Relation: .
4. The Ratio:

⚡ The 30-Second insight
Ratio . 
Plug in  for  ratio and  for the side ratio. 
.

⚠️ Common Traps
The most painf

More questions from this chapter