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

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At 25°C, 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 25°C, 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 hydroxide ions [OH⁻]

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Answer

Barium hydroxide, Ba(OH)₂, dissociates in water according to the following equation:

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

From this equation, it is clear that one mole of Ba(OH)₂ produces two moles of hydroxide ions. Thus, the concentration of hydroxide ions in a 0.0050 M Ba(OH)₂ solution is:

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

Step 2

Calculate the pOH

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Answer

The pOH can be calculated using the formula:

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

Substituting the [OH⁻] value we found:

pOH=log(0.0100)=2.00pOH = -\log(0.0100) = 2.00

Step 3

Calculate the pH

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Answer

Using the relationship between pH and pOH, we can find the pH:

pH+pOH=14pH + pOH = 14

Substituting the value of pOH:

pH=142.00=12.00pH = 14 - 2.00 = 12.00

Step 4

Select the correct answer

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Answer

Based on the calculated pH, the correct answer is D. 12.0.

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