the equation for the ph of a substance is $\text{ph} = -\log\text{h}^+$, where $\text{h}^+$ is the concentration of hydrogen ions. what is the approximate ph of a solution if the concentration of hydrogen ions is $5.0 \times 10^{-4}$ moles per liter?

$\bigcirc$ 2.7
$\bigcirc$ 3.0
$\bigcirc$ 3.3
$\bigcirc$ 3.6

Question

the equation for the ph of a substance is \$\text{ph} = -\log\text{h}^+\$, where \$\text{h}^+\$ is the concentration of hydrogen ions. what is the approximate ph of a solution if the concentration of hydrogen ions is \$5.0 \times 10^{-4}\$ moles per liter?

\$\bigcirc\$ 2.7
\$\bigcirc\$ 3.0
\$\bigcirc\$ 3.3
\$\bigcirc\$ 3.6

$\bigcirc$ 2.7
$\bigcirc$ 3.0
$\bigcirc$ 3.3
$\bigcirc$ 3.6

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "pH Scale Calculations" ], "new_concepts": [], "current_concepts": [ "pH Scale Calculations", "Logarithmic Evaluation" ] } ## Substitute the given concentration into the formula Using the *pH Scale Calculations* knowledge point $$ \begin{aligned} &[\text{H}^+] = 5.0 \times 10^{-4}\ &\text{pH} = -\log(5.0 \times 10^{-4}) \end{aligned} $$ ## Expand the logarithm using properties Using the *pH Scale Calculations* knowledge point $$ \begin{aligned} &\text{pH} = -(\log(5.0) + \log(10^{-4}))\ &\text{pH} = -(\log(5.0) - 4) \end{aligned} $$ ## Calculate the approximate pH value Using the *pH Scale Calculations* knowledge point $$ \begin{aligned} &\log(5.0) \approx 0.699\ &\text{pH} \approx -(0.699 - 4) = 3.301 \approx 3.3 \end{aligned} $$

(A) 2.7

(B) 3.0

(C) 3.3

(D) 3.6

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "pH Scale Calculations" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the given concentration into the formula

Expand the logarithm using properties

Calculate the approximate pH value

Answer: