Given: A→D is endothermic and occurs in three elementary steps:
- A→B with ΔHi=+ve
- B→C with ΔHii=−ve
- C→D with ΔHiii=−ve
Find: The correct potential energy versus reaction coordinate graph.
For a multistep reaction, the number of elementary steps equals the number of transition states, so the graph must contain three peaks.
Since the overall reaction A→D is endothermic, the final energy of D must be higher than the initial energy of A.
Now analyse each step:
- In step (i), ΔHi=+ve, so B lies at a higher energy level than A.
- In step (ii), ΔHii=−ve, so C lies at a lower energy level than B.
- In step (iii), ΔHiii=−ve, so D lies at a lower energy level than C.
Thus the intermediate energy pattern is:
A↑B↓C↓D
with the additional condition that the final level of D is still above that of A.
So the correct graph must show:
- three maxima,
- an initial rise from A to B,
- then decreasing intermediate levels from B to C to D,
- and the final point higher than the starting point.
Among the given graphs, Graph 2 satisfies all these conditions.
Therefore, the correct option is B.