The POH Of A Solution Is 10.75. What Is The Concentration Of $OH^{-}$ Ions In The Solution? Use $\left[ OH^{-} \right] = 10^{- \text{pOH}}$.A. $ 3.162 × 10 − 108 M 3.162 \times 10^{-108} \, M 3.162 × 1 0 − 108 M [/tex]B. $1.778 \times 10^{-11} ,

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Understanding the Relationship Between pOH and $OH^{-}$ Concentration

In chemistry, the pOH of a solution is a measure of the concentration of hydroxide ions ($OH^{-}$) in that solution. The pOH is defined as the negative logarithm of the concentration of $OH^{-}$ ions, expressed in moles per liter (M). The relationship between pOH and $OH^{-}$ concentration is given by the equation:

[OH−]=10−pOH\left[ OH^{-} \right] = 10^{- \text{pOH}}

This equation allows us to calculate the concentration of $OH^{-}$ ions in a solution when we know the pOH.

Calculating the Concentration of $OH^{-}$ Ions

Given that the pOH of a solution is 10.75, we can use the equation above to calculate the concentration of $OH^{-}$ ions.

[OH−]=10−pOH\left[ OH^{-} \right] = 10^{- \text{pOH}}

[OH−]=10−10.75\left[ OH^{-} \right] = 10^{- 10.75}

[OH−]=3.162×10−11 M\left[ OH^{-} \right] = 3.162 \times 10^{-11} \, M

Therefore, the concentration of $OH^{-}$ ions in the solution is $3.162 \times 10^{-11} , M$.

Understanding the Significance of the Result

The result obtained above indicates that the concentration of $OH^{-}$ ions in the solution is extremely low, on the order of $10^{-11} , M$. This is because the pOH of the solution is relatively high, indicating a low concentration of $OH^{-}$ ions.

Conclusion

In conclusion, the pOH of a solution is a measure of the concentration of $OH^{-}$ ions in that solution. By using the equation $\left[ OH^{-} \right] = 10^{- \text{pOH}}$, we can calculate the concentration of $OH^{-}$ ions in a solution when we know the pOH. In this case, we found that the concentration of $OH^{-}$ ions in a solution with a pOH of 10.75 is $3.162 \times 10^{-11} , M$.

Frequently Asked Questions

  • What is the pOH of a solution? The pOH of a solution is a measure of the concentration of hydroxide ions ($OH^{-}$) in that solution.
  • How do I calculate the concentration of $OH^{-}$ ions in a solution? You can use the equation $\left[ OH^{-} \right] = 10^{- \text{pOH}}$ to calculate the concentration of $OH^{-}$ ions in a solution when you know the pOH.
  • What is the significance of the result obtained above? The result obtained above indicates that the concentration of $OH^{-}$ ions in the solution is extremely low, on the order of $10^{-11} , M$.

References

Additional Resources

Frequently Asked Questions

Q1: What is the pOH of a solution?

A1: The pOH of a solution is a measure of the concentration of hydroxide ions ($OH^{-}$) in that solution. It is defined as the negative logarithm of the concentration of $OH^{-}$ ions, expressed in moles per liter (M).

Q2: How do I calculate the concentration of $OH^{-}$ ions in a solution?

A2: You can use the equation $\left[ OH^{-} \right] = 10^{- \text{pOH}}$ to calculate the concentration of $OH^{-}$ ions in a solution when you know the pOH.

Q3: What is the significance of the result obtained above?

A3: The result obtained above indicates that the concentration of $OH^{-}$ ions in the solution is extremely low, on the order of $10^{-11} , M$.

Q4: What is the relationship between pH and pOH?

A4: The pH and pOH of a solution are related by the equation:

pH+pOH=14\text{pH} + \text{pOH} = 14

This equation indicates that the sum of the pH and pOH of a solution is always 14.

Q5: How do I determine the pH of a solution if I know the pOH?

A5: You can use the equation above to determine the pH of a solution if you know the pOH. For example, if the pOH of a solution is 10.75, you can calculate the pH as follows:

pH=14−pOH\text{pH} = 14 - \text{pOH}

pH=14−10.75\text{pH} = 14 - 10.75

pH=3.25\text{pH} = 3.25

Therefore, the pH of the solution is 3.25.

Q6: What is the significance of the pH and pOH of a solution?

A6: The pH and pOH of a solution are important because they indicate the concentration of hydrogen ions ($H^+$) and hydroxide ions ($OH^{-}$) in the solution, respectively. These concentrations are critical in determining the properties and behavior of the solution.

Q7: Can I use the equation $\left[ OH^{-} \right] = 10^{- \text{pOH}}$ to calculate the concentration of $OH^{-}$ ions in a solution if I know the pH?

A7: No, you cannot use the equation $\left[ OH^{-} \right] = 10^{- \text{pOH}}$ to calculate the concentration of $OH^{-}$ ions in a solution if you know the pH. This is because the pH and pOH are related by the equation $\text{pH} + \text{pOH} = 14$, and you would need to know the pOH to calculate the concentration of $OH^{-}$ ions.

Q8: What is the relationship between the concentration of $H^+$ ions and the pH of a solution?

A8: The concentration of $H^+$ ions in a solution is related to the pH of the solution by the equation:

[H+]=10−pH\left[ H^+ \right] = 10^{- \text{pH}}

This equation indicates that the concentration of $H^+$ ions in a solution is inversely proportional to the pH of the solution.

Q9: How do I determine the concentration of $H^+$ ions in a solution if I know the pH?

A9: You can use the equation above to determine the concentration of $H^+$ ions in a solution if you know the pH. For example, if the pH of a solution is 3.25, you can calculate the concentration of $H^+$ ions as follows:

[H+]=10−pH\left[ H^+ \right] = 10^{- \text{pH}}

[H+]=10−3.25\left[ H^+ \right] = 10^{- 3.25}

[H+]=5.01×10−4 M\left[ H^+ \right] = 5.01 \times 10^{-4} \, M

Therefore, the concentration of $H^+$ ions in the solution is $5.01 \times 10^{-4} , M$.

Q10: What is the significance of the concentration of $H^+$ ions in a solution?

A10: The concentration of $H^+$ ions in a solution is important because it determines the acidity or basicity of the solution. A solution with a high concentration of $H^+$ ions is acidic, while a solution with a low concentration of $H^+$ ions is basic.

Conclusion

In conclusion, the pOH of a solution is a measure of the concentration of hydroxide ions ($OH^{-}$) in that solution. By using the equation $\left[ OH^{-} \right] = 10^{- \text{pOH}}$, we can calculate the concentration of $OH^{-}$ ions in a solution when we know the pOH. Additionally, we can use the relationship between pH and pOH to determine the pH of a solution if we know the pOH.