To determine the correct statements from the given options, let's go through the calculations step-by-step.
1. Given Data:
- The [tex]\( \text{pOH} \)[/tex] of the solution is 6.0.
2. Find [tex]\( \text{pH} \)[/tex] using the equation [tex]\( \text{pH} + \text{pOH} = 14 \)[/tex]:
[tex]\[
\text{pH} = 14 - \text{pOH}
\][/tex]
Substituting [tex]\( \text{pOH} = 6.0 \)[/tex]:
[tex]\[
\text{pH} = 14 - 6.0 = 8.0
\][/tex]
Thus, the [tex]\( \text{pH} \)[/tex] of the solution is 8.0.
3. Find the concentration of [tex]\( \text{OH}^- \)[/tex] ions using the equation [tex]\( \text{pOH} = -\log[\text{OH}^-] \)[/tex]:
[tex]\[
\text{OH}^- \text{ concentration} = 10^{-\text{pOH}}
\][/tex]
Substituting [tex]\( \text{pOH} = 6.0 \)[/tex]:
[tex]\[
\text{OH}^- \text{ concentration} = 10^{-6} = 1.0 \times 10^{-6} \, M
\][/tex]
Given the statements:
1. "The [tex]\( \text{pH} \)[/tex] of the solution is 20.0."
- This is incorrect because we calculated the [tex]\( \text{pH} \)[/tex] to be 8.0.
2. "The concentration of [tex]\( \text{OH}^- \)[/tex] ions is [tex]\( 1.0 \times 10^{-8} \, M \)[/tex]."
- This is incorrect because the concentration of [tex]\( \text{OH}^- \)[/tex] ions is [tex]\( 1.0 \times 10^{-6} \, M \)[/tex].
3. "The concentration of [tex]\( \text{OH}^- \)[/tex] ions is [tex]\( 1.0 \times 10^6 \, M \)[/tex]."
- This is incorrect because the concentration of [tex]\( \text{OH}^- \)[/tex] ions is [tex]\( 1.0 \times 10^{-6} \, M \)[/tex], not [tex]\( 1.0 \times 10^6 \, M \)[/tex].
4. "The [tex]\( \text{pH} \)[/tex] of the solution is 8.0."
- This statement is correct because we calculated the [tex]\( \text{pH} \)[/tex] to be 8.0.
Therefore, the correct statement is:
"The [tex]\( \text{pH} \)[/tex] of the solution is 8.0."
