the equation for the ph of a substance is $\text{ph} = -\log\text{h}^+$, where $\text{h}^+$ is the concentration of hydrogen ions. a basic solution has a ph of 11.2. an acidic solution has a ph of 2.4. what is the approximate difference in the concentration of hydrogen ions between the two solutions?

$1.6 \times 10^{-9}$
$4.0 \times 10^{-3}$
$6.7 \times 10^{-1}$
$1.6 \times 10^{11}$

Question

the equation for the ph of a substance is \$\text{ph} = -\log\text{h}^+\$, where \$\text{h}^+\$ is the concentration of hydrogen ions. a basic solution has a ph of 11.2. an acidic solution has a ph of 2.4. what is the approximate difference in the concentration of hydrogen ions between the two solutions?

\$1.6 \times 10^{-9}\$
\$4.0 \times 10^{-3}\$
\$6.7 \times 10^{-1}\$
\$1.6 \times 10^{11}\$

$1.6 \times 10^{-9}$
$4.0 \times 10^{-3}$
$6.7 \times 10^{-1}$
$1.6 \times 10^{11}$

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" ] } ## Calculate the hydrogen ion concentration of the basic solution Using the *pH Scale Calculations* knowledge point $$ \begin{aligned} &\text{pH}_{\text{basic}} = 11.2 \ &11.2 = -\log[\text{H}^+]_{\text{basic}} \ &[\text{H}^+]_{\text{basic}} = 10^{-11.2} \approx 6.31 \times 10^{-12} \end{aligned} $$ ## Calculate the hydrogen ion concentration of the acidic solution Using the *pH Scale Calculations* knowledge point $$ \begin{aligned} &\text{pH}_{\text{acidic}} = 2.4 \ &2.4 = -\log[\text{H}^+]_{\text{acidic}} \ &[\text{H}^+]_{\text{acidic}} = 10^{-2.4} \approx 3.98 \times 10^{-3} \end{aligned} $$ ## Find the difference between the two concentrations Using the *pH Scale Calculations* knowledge point $$ \begin{aligned} &\text{Difference} = [\text{H}^+]_{\text{acidic}} - [\text{H}^+]_{\text{basic}} \ &\text{Difference} = 10^{-2.4} - 10^{-11.2} \ &\text{Difference} \approx 3.98 \times 10^{-3} - 6.31 \times 10^{-12} \approx 4.0 \times 10^{-3} \end{aligned} $$

(A) $1.6 \times 10^{-9}$

(B) $4.0 \times 10^{-3}$

(C) $6.7 \times 10^{-1}$

(D) $1.6 \times 10^{11}$

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

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QUESTION IMAGE

Question

Explanation:

Calculate the hydrogen ion concentration of the basic solution

Calculate the hydrogen ion concentration of the acidic solution

Find the difference between the two concentrations

Answer: