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Solve the Problem pH\mathrm { pH } Scale to Represent the Level of Acidity or Alkalinity of Scale

question 234

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Solve the problem.
-Scientists use the pH\mathrm { pH } scale to represent the level of acidity or alkalinity of a liquid. This is based on the molar concentration of hydronium ions, [H+]\left[ \mathrm { H } ^ { + } \right] . Since the values of [H+]\left[ \mathrm { H } ^ { + } \right] vary over a large range, 1×1001 \times 10 ^ { 0 } mole per liter to 1×10141 \times 10 ^ { - 14 } mole per liter (mol/L) ( \mathrm { mol } / \mathrm { L } ) , a logarithmic scale is used to compute the pH\mathrm { pH } . The formula pH=log[H+]\mathrm { pH } = - \log \left[ \mathrm { H } ^ { + } \right] represents the pH\mathrm { pH } of a liquid as a function of its concentration of hydronium ions, [H+]\left[ \mathrm { H } ^ { + } \right] . The pH scale ranges from 0 to 14 . Pure water is taken as neutral having a pH\mathrm { pH } of 7 . A pH less than 7 is acidic. A pH greater than 7 is alkaline (or basic) .

Two acids have [H+]\left[ \mathrm { H } ^ { + } \right] values of 3.2×103 mol/L3.2 \times 10 ^ { - 3 } \mathrm {~mol} / \mathrm { L } and 2.4×106 mol/L2.4 \times 10 ^ { - 6 } \mathrm {~mol} / \mathrm { L } respectively. Find the pH\mathrm { pH } for each acid. Which substance is more acidic? Round pH\mathrm { pH } values to 1 decimal place.


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