What is the concentration of OH^-OH− ions in a solution that contains 1 times 10^-31×10−3 MM H^+H+?

1 Answer
Maxwell
Jul 22, 2017

color(blue)[["OH"^-]]=color(blue)[1xx10^-11" M"[OH−]=1×10−11 M

Explanation:

At "25"^@"C"25∘C,

color(white)(----)color(magenta)[["OH"^-]["H"_3stackrel"+""O"]]=color(magenta)[1xx10^-14" M"^2]−−−−[OH−][H3+O]=1×10−14 M2

If ["H"_3stackrel"+""O"] = 1xx10^-3" M"[H3+O]=1×10−3 M then...

  • color(magenta)(["OH"^-]["H"_3stackrel"+""O"])=color(magenta)[1xx10^-14" M"^2][OH−][H3+O]=1×10−14 M2
  • ["OH"^-][ 1xx10^-3" M"]=1xx10^-14" M"^2[OH−][1×10−3 M]=1×10−14 M2
  • ["OH"^-]=(1xx10^-14" M"^cancel2)/[ 1xx10^-3cancel" M"]
  • color(blue)[["OH"^-]]=color(blue)[1xx10^-11" M"
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