Step 1: Concept
The dissociation of water ($H_{2}O \rightleftharpoons H^{+} + OH^{-}$) is an endothermic process.
Step 2: Temperature Effect
As temperature increases, the dissociation constant ($K_{w}$) increases, leading to a higher concentration of $H^{+}$ ions.
Step 3: pH Relation
Since $pH = -\log[H^{+}]$, a higher concentration of $H^{+}$ results in a lower pH value.
Step 4: Conclusion
Neutral water has a pH of 7.0 at $25^{\circ}C$. A pH of 6.5 for neutral water implies the temperature is higher than $25^{\circ}C$.
Final Answer: (B)