Final answer:
The stronger base is (CH3)2NH and the stronger conjugate acid is b. CH3NH3+.
Step-by-step explanation:
The question asks which base between CH3NH2 (methylamine) and (CH3)2NH (dimethylamine) is the stronger base, and which of their conjugate acids, (CH3)2NH2+ or CH3NH3+, is the stronger acid. The strength of bases and acids is determined by their equilibrium constants (Kb for bases and Ka for acids). The stronger base or acid has the larger Kb or Ka, respectively.
In this case, the stronger base is (CH3)2NH and the stronger conjugate acid is CH3NH3+. Therefore, the answer is (b) (CH3)2NH; CH3NH3+.