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At 25ºC, the pH of 0.0050 M Ba(OH)₂, is A - VCE - SSCE Chemistry - Question 3 - 2003 - Paper 1

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At 25ºC, the pH of 0.0050 M Ba(OH)₂, is A. 2.0 B. 2.3 C. 11.7 D. 12.0

Worked Solution & Example Answer:At 25ºC, the pH of 0.0050 M Ba(OH)₂, is A - VCE - SSCE Chemistry - Question 3 - 2003 - Paper 1

Step 1

Calculate the concentration of OH⁻ ions

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Answer

Barium hydroxide, Ba(OH)₂, dissociates in water to release two hydroxide ions (OH⁻) for each formula unit:

Ba(OH)2Ba2++2OH\text{Ba(OH)}_2 \rightarrow \text{Ba}^{2+} + 2\text{OH}^-

For a 0.0050 M solution of Ba(OH)₂, the concentration of OH⁻ ions is:

[OH]=2×0.0050M=0.0100M\text{[OH}^-\text{]} = 2 \times 0.0050 \, \text{M} = 0.0100 \, \text{M}

Step 2

Determine the pOH

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Answer

To find the pOH, we use the formula:

pOH=log[OH]\text{pOH} = -\log{\text{[OH}^-\text{]}}

Substituting in the concentration we found:

pOH=log(0.0100)2.0\text{pOH} = -\log{(0.0100)} \approx 2.0

Step 3

Convert pOH to pH

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Answer

The relationship between pH and pOH at 25ºC is given by the equation:

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

Thus, we can find the pH:

pH=14pOH=142.0=12.0\text{pH} = 14 - \text{pOH} = 14 - 2.0 = 12.0

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