pOH = 9.45 to pH [OH] = 5.76 x10* to pH

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### Converting pOH to pH and Hydroxide Ion Concentration to pH

**1. Converting pOH to pH:**
\[ \text{pOH} = 9.45 \]

pH and pOH are related through the equation:
\[ \text{pH} + \text{pOH} = 14 \]

To find the pH:
\[ \text{pH} = 14 - \text{pOH} \]
\[ \text{pH} = 14 - 9.45 \]
\[ \text{pH} = 4.55 \]

So, the pH is 4.55 when the pOH is 9.45.

**2. Converting Hydroxide Ion Concentration \([OH^-]\) to pH:**
\[ [OH^-] = 5.76 \times 10^{-8} \]

First, we need to find the pOH using the relationship:
\[ \text{pOH} = -\log[OH^-] \]

Calculating the pOH:
\[ \text{pOH} = -\log(5.76 \times 10^{-8}) \]
Using a calculator:
\[ \text{pOH} \approx 7.24 \]

Now, use the relationship between pH and pOH to find the pH:
\[ \text{pH} = 14 - \text{pOH} \]
\[ \text{pH} = 14 - 7.24 \]
\[ \text{pH} = 6.76 \]

So, the pH is approximately 6.76 when the hydroxide ion concentration is \(5.76 \times 10^{-8}\) M.

This page explains the method to convert pOH to pH and hydroxide ion concentration to pH, showcasing the importance of understanding the logarithmic relationship in acid-base chemistry.
Transcribed Image Text:### Converting pOH to pH and Hydroxide Ion Concentration to pH **1. Converting pOH to pH:** \[ \text{pOH} = 9.45 \] pH and pOH are related through the equation: \[ \text{pH} + \text{pOH} = 14 \] To find the pH: \[ \text{pH} = 14 - \text{pOH} \] \[ \text{pH} = 14 - 9.45 \] \[ \text{pH} = 4.55 \] So, the pH is 4.55 when the pOH is 9.45. **2. Converting Hydroxide Ion Concentration \([OH^-]\) to pH:** \[ [OH^-] = 5.76 \times 10^{-8} \] First, we need to find the pOH using the relationship: \[ \text{pOH} = -\log[OH^-] \] Calculating the pOH: \[ \text{pOH} = -\log(5.76 \times 10^{-8}) \] Using a calculator: \[ \text{pOH} \approx 7.24 \] Now, use the relationship between pH and pOH to find the pH: \[ \text{pH} = 14 - \text{pOH} \] \[ \text{pH} = 14 - 7.24 \] \[ \text{pH} = 6.76 \] So, the pH is approximately 6.76 when the hydroxide ion concentration is \(5.76 \times 10^{-8}\) M. This page explains the method to convert pOH to pH and hydroxide ion concentration to pH, showcasing the importance of understanding the logarithmic relationship in acid-base chemistry.
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