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Answer :
At a certain temperature, the ph of pure water is 6.00. kw for water at this temperature is: 1.0×[tex]10^{-12 }M^2[/tex]
Calculation
H3O+ =[tex]10^{-pH}[/tex] = 1.0×[tex]10^{-6 }M[/tex]
Therefore, pure water contain equal concentration of OH- and H3O+. So,
OH- = 1.0×[tex]10^{-6 }M[/tex]
Kw = [H3O+][OH-]
= 1.0×[tex]10^{-6 }M[/tex] × 1.0×[tex]10^{-6 }M[/tex]
= 1.0×[tex]10^{-12 }M^2[/tex]
What is pH?
An aqueous solution's acidity or basicity is measured using the pH scale, which traditionally stood for "potential of hydrogen" (or "power of hydrogen"). Lower pH values are measured for acidic solutions than for basic or alkaline solutions (solutions with larger quantities of H+ ions).
The pH scale is logarithmic and inversely proportional to the hydrogen ion concentration in the solution.
[tex]{\displaystyle {\ce {pH}}=-\log(a_{\ce {H+}})=-\log([{\ce {H+}}]/{\ce {M}})}[/tex]
in which M = mol [tex]dm^{-3}[/tex]. Acidic solutions have a pH under 7, while basic solutions have a pH over 7, at 25 °C (77 °F). At the current temperature, pH 7 solutions are neutral (e.g. pure water). If the temperature rises above 25 °C, the pH neutral value will be lower than 7, which depends on temperature.
Learn more about pH
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At a certain temperature, the ph of pure water is 6.00. kw for water at this temperature is [tex]10^{-12}[/tex] __
To find the ionization constant (Kw) for water at a temperature where the pH of pure water is 6.00, we need to understand the relationship between pH, [tex]H_{3}O^{+}[/tex] concentration, and {Kw}. The pH of 6.00 means that the extbf{H3O+} (hydronium ion) concentration is [tex]10^{-6}[/tex] M because pH = -log [[tex]H_{3}O ^{+}[/tex]].
Since pure water autoionizes and forms equal concentrations of hydronium ions and hydroxide ions (OH-), it follows that [tex]H_{3}O ^{+}[/tex] = [O[tex]H^{-}[/tex]] ={[tex]10^{-6}[/tex]} M.
The ionization constant {Kw} is given by the product of the concentrations of these ions:
Kw = [[tex]H_{3}O^{+}[/tex]][O[tex]H^{-}[/tex]] = ([tex]10^{-6}[/tex]) * ([tex]10^{-6}[/tex]) = [tex]10^{-12}[/tex]
Thus, the {Kw} for water at the temperature where the pH is 6.00 is [tex]10^{-12}[/tex]
