Question #115929
What is the pH, H3O+, and -OH of an aqueous 7.5×10^-2 M RbOH solution at 25c? pH = -logH3O+ and Kw = 1.0 × 10^-14 = H3O+ [-OH] at 25c.
1
Expert's answer
2020-05-15T10:22:58-0400

RbOH is a strong base, so it dissociates in water completely. As 1 mole of RbOH produces, 1 mol of hydroxide ions.

Thus, [OH]=[RbOH]=7.5102M[OH^-]=[RbOH]=7.5*10^{-2}M

As this concentration is much greater than the concentration of the concentration of hydroxide ions contributed by water.

pOH=log([OH])=2log(7.5)=20.875=1.125pOH=-log([OH^-])=2-log(7.5)=2-0.875=1.125

As pH+pOH=14    pH=141.125=12.875pH+pOH=14 \implies pH=14-1.125=12.875

And thus, [H+]=1012.875=0.13331012=1.3331013M[H^+]=10^{-12.875}=0.1333*10^-12=1.333*10^{-13}M


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