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What is the pOH of a solution with [tex]\left[ OH ^{-}\right]=2.0 \times 10^{-2}[/tex]?

A. 3.01
B. 1.70
C. 2.00
D. -1.70

Answer :

To calculate the pOH of a solution with a hydroxide ion concentration [tex]\([\text{OH}^-]\)[/tex] of [tex]\(2.0 \times 10^{-2}\)[/tex], you can use the formula:

[tex]\[ \text{pOH} = -\log_{10}[\text{OH}^-] \][/tex]

Here are the steps to solve this:

1. Identify the Hydroxide Ion Concentration:
The concentration of hydroxide ions in the solution is [tex]\(2.0 \times 10^{-2}\)[/tex].

2. Calculate the pOH:
Use the formula [tex]\(\text{pOH} = -\log_{10}[2.0 \times 10^{-2}]\)[/tex].

3. Use a Calculator or Logarithm Table:
Evaluate [tex]\(-\log_{10}(2.0 \times 10^{-2})\)[/tex].

4. Interpreting the Result:
By performing the logarithm operation, you get approximately [tex]\(1.6989700043360187\)[/tex].

Therefore, the pOH of the solution is approximately [tex]\(1.70\)[/tex]. So the correct option from the given choices is B. [tex]\(1.70\)[/tex].

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Rewritten by : Jeany