Calculate the molar H2O* ion concentration of a solution if the OH ion concentration is(a) 8.0×104MM(b) 1.0×10-7MM(c) 1.0×10-12MM(d) 1.0×10-10MM

(a) OH- ion concentration can be calculated as: H3O+=8×10-4 M given…

Answered: Calculate the molar H3O* ion…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Calculate the molar H2O* ion concentration of a solution if the OH ion concentration is
(a) 8.0×104M
M
(b) 1.0×10-7M
M
(c) 1.0×10-12M
M
(d) 1.0×10-10M
M

Expert Solution

Step 1

(a) ${OH}^{-}$ ion concentration can be calculated as:

$\begin{array}{rcl} [H_{3} O^{+}] & = & 8 \times 10^{- 4} M (given) \end{array}$

$\begin{array}{rcl} [H_{3} O^{+}] [{OH}^{-}] & = & 1 \times 10^{- 14} \\ [H_{3} O^{+}] & = & \frac{1 \times 10^{- 14}}{[{OH}^{-}]} \\ = & \frac{1 \times 10^{- 14}}{8 \times 10^{- 4}} \\ = & 0.125 \times 10^{- 10} \\ = & 1.25 \times 10^{- 9} M \end{array}$

Hence, the ${OH}^{-}$ ion concentration is $\begin{array}{rcl} 1 \end{array} \begin{array}{rcl} . \end{array} \begin{array}{rcl} 25 \end{array} \begin{array}{rcl} \times \end{array} \begin{array}{rcl} 10 \end{array} \begin{array}{rcl} \end{array}$ ^-9M.

Step 2

(b) ${OH}^{-}$ ion concentration can be calculated as:

$\begin{array}{rcl} [H_{3} O^{+}] & = & 1 \times 10^{- 7} M (given) \end{array}$

$\begin{array}{rcl} [H_{3} O^{+}] [{OH}^{-}] & = & 1 \times 10^{- 14} \\ [H_{3} O^{+}] & = & \frac{1 \times 10^{- 14}}{[{OH}^{-}]} \\ = & \frac{1 \times 10^{- 14}}{1 \times 10^{- 7}} \\ = & 1 \times 10^{- 7} M \end{array}$

Hence, the ${OH}^{-}$ ion concentration is $1 \times 10^{- 7} M$ .

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