Multiple Choice
What is the pH of a 0.040 M Ba(OH)_2 solution?
17. Acid and Base Equilibrium
pH of Strong Acids and Bases
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What is the pOH of a solution that has a hydroxide ion concentration of 1.0 x 10^-13 M, which corresponds to a 0.10 M HCl solution? Express your answer to two significant figures.
A
13.00
B
1.00
C
7.00
D
0.10
Verified step by step guidance1
Understand that pOH is calculated using the formula: \( \text{pOH} = -\log[\text{OH}^-] \), where \([\text{OH}^-]\) is the hydroxide ion concentration.
Identify the given hydroxide ion concentration, which is \( 1.0 \times 10^{-13} \text{ M} \).
Substitute the hydroxide ion concentration into the pOH formula: \( \text{pOH} = -\log(1.0 \times 10^{-13}) \).
Recall that the logarithm of a number in the form \( a \times 10^b \) is calculated as \( \log(a) + b \cdot \log(10) \). Since \( \log(10) = 1 \), the expression simplifies to \( \log(a) + b \).
Calculate the pOH by evaluating the expression: \( \text{pOH} = -(-13) = 13.00 \).
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