Step 1: Understanding the Concept
Adsorption is the accumulation of a substance on the surface of another, and it is exothermic.
Step 2: Check each statement
(A) true: concentration is high only at the surface.
(B) true: it depends on temperature and pressure.
(C) true: heat is evolved (exothermic).
(D) false: adsorption increases with surface area.
Step 3: Conclusion
Therefore, the false statement is that adsorption is independent of surface area.
Final Answer:
The false statement is that adsorption is independent of surface area.
\[ \boxed{\text{(D) }\text{It is independent of surface area.}} \]