Step 1: Understanding the coagulation process
Blood exists as a negatively charged sol. When ferric chloride (FeCl$_3$) is introduced, the Fe$^{3+}$ ions interact with the negatively charged blood sol, causing it to coagulate. This occurs due to the electrostatic attraction between the positively charged Fe$^{3+}$ ions and the negatively charged blood particles.
Step 2: The role of \(Fe^{3+} ions\)
The Fe$^{3+}$ ions neutralize the negative charge on the blood particles, leading to their aggregation and coagulation. This explains why Fe$^{3+}$ ions are responsible for facilitating the coagulation of blood.