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Sagot :
To determine the concentration of [tex]\( \text{OH}^- \)[/tex] ions in the ammonia solution with a pH of 11.8, let's follow these steps:
1. Calculate the pOH:
According to the given information, the relationship between pH and pOH in a solution is:
[tex]\[ \text{pH} + \text{pOH} = 14 \][/tex]
Therefore:
[tex]\[ \text{pOH} = 14 - \text{pH} \][/tex]
Substituting the given pH value:
[tex]\[ \text{pOH} = 14 - 11.8 = 2.2 \][/tex]
2. Calculate the concentration of [tex]\( \text{OH}^- \)[/tex] ions:
The concentration of [tex]\( \text{OH}^- \)[/tex] ions can be calculated using the formula:
[tex]\[ [\text{OH}^-] = 10^{-\text{pOH}} \][/tex]
Substituting the calculated pOH value:
[tex]\[ [\text{OH}^-] = 10^{-2.2} \][/tex]
3. Determine the exact value:
Calculating [tex]\( 10^{-2.2} \)[/tex] gives us:
[tex]\[ [\text{OH}^-] \approx 0.00631 \text{ M} \][/tex]
Hence, the concentration of [tex]\( \text{OH}^- \)[/tex] ions in the solution is [tex]\( 0.00631 \text{ M} \)[/tex].
Among the given options, the correct answer is:
[tex]\[ 6.31 \times 10^{-3} \text{ M} \][/tex]
1. Calculate the pOH:
According to the given information, the relationship between pH and pOH in a solution is:
[tex]\[ \text{pH} + \text{pOH} = 14 \][/tex]
Therefore:
[tex]\[ \text{pOH} = 14 - \text{pH} \][/tex]
Substituting the given pH value:
[tex]\[ \text{pOH} = 14 - 11.8 = 2.2 \][/tex]
2. Calculate the concentration of [tex]\( \text{OH}^- \)[/tex] ions:
The concentration of [tex]\( \text{OH}^- \)[/tex] ions can be calculated using the formula:
[tex]\[ [\text{OH}^-] = 10^{-\text{pOH}} \][/tex]
Substituting the calculated pOH value:
[tex]\[ [\text{OH}^-] = 10^{-2.2} \][/tex]
3. Determine the exact value:
Calculating [tex]\( 10^{-2.2} \)[/tex] gives us:
[tex]\[ [\text{OH}^-] \approx 0.00631 \text{ M} \][/tex]
Hence, the concentration of [tex]\( \text{OH}^- \)[/tex] ions in the solution is [tex]\( 0.00631 \text{ M} \)[/tex].
Among the given options, the correct answer is:
[tex]\[ 6.31 \times 10^{-3} \text{ M} \][/tex]
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