Answer:
pH of the base solution after the chemist has added 213.6 mL of the HNO3 solution to it is 9.96
Explanation:
Calculating the moles of dimethylamine Â
Moles of dimethylamine  = molairty * volume in L = 0.63*0.0992  = 0.0625moles
Moles of HNO3 Â Â Â Â Â Â Â = molarity * volume in L = 0.25*0.2136 Â Â = 0.0534 moles
The balanced chemical equation is
(CH3)2NH + HNO3 -------------------> (CH3)2NH2^+ Â Â + Â NO3^-
I Â Â Â Â Â Â Â Â Â 0.0625 Â Â Â Â 0.0534 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0 Â Â Â Â Â Â Â Â Â
C Â Â Â Â Â Â Â Â -0.0534 Â Â Â - 0.0534 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0.0534
E Â Â Â Â Â Â Â 0.0091 Â Â Â Â Â Â Â 0 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0.0534
As we know , Â
POH Â = Pkb + log[(CH3)2NH2^+]/[(CH3)2NH]
= 3.27 + log0.0534/0.0091 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
= 3.27+ 0.768
= 4.038 Â Â Â Â Â Â Â Â Â
PH Â Â Â = 14-POH
= 14-4.038 Â = 9.96 Â