Final answer:
The reaction NH4+(aq) + H2O(l) → NH3(aq) + H3O+(aq) would occur to a measurable extent in water.
Step-by-step explanation:
The reaction that would occur to a measurable extent in water is NH4+(aq) + H2O(l) → NH3(aq) + H3O+(aq).
In this reaction, the NH4+ ion acts as an acid, donating a proton to water to form NH3 and H3O+. The equilibrium constant, Ka, for this reaction is greater than 1, indicating that the reaction occurs to a measurable extent in water.
The other reactions listed do not occur to a measurable extent in water. HCl is a strong acid and does not undergo significant base hydrolysis. The reactions involving F- and Br- do not result in the formation of HBr and OH-.