0.85 g of hydrogen chloride (HCI) is dissolved in water to make 7.5 L of solution. What is the pH of the resulting hydrochloric acid solution? Express the pH numerically to two decimal places. ▸ View Available Hint(s)

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### pH of a Strong Acid and a Strong Base

**pH Definition and Formula:**
pH is a logarithmic scale used to indicate the hydrogen ion concentration, \([H^+]\), of a solution:
\[ \text{pH} = -\log[H^+] \]

**Relation to Water Ionization:**
Due to the autoionization of water, in any aqueous solution, the hydrogen ion concentration and the hydroxide ion concentration, \([OH^-]\), are related by the \(K_w\) of water:
\[ K_w = [H^+][OH^-] = 1.00 \times 10^{-14} \]
where \(1.00 \times 10^{-14}\) is the value at approximately 297 K. Based on this relation, the pH and pOH are related as:
\[ 14.00 = \text{pH} + \text{pOH} \]

**Temperature Conditions:**
The temperature for each solution is carried out at approximately 297 K where \(K_w = 1.00 \times 10^{-14}\).

**Exercise Instructions:**

#### Part A
0.85 g of hydrogen chloride (HCl) is dissolved in water to make 7.5 L of solution. What is the pH of the resulting hydrochloric acid solution? Express the pH numerically to two decimal places.

**Input Box for pH Calculation:**
- Templates, Symbols, Undo, Redo, Reset Keyboard Shortcuts available.
- Enter your answer and submit.

\[ \text{pH} = \boxed{\ \ \ } \]

#### Part B
0.75 g of sodium hydroxide (NaOH) pellets are dissolved in water to make 8.5 L of solution. What is the pH of this solution? Express the pH numerically to two decimal places.

**Input Box for pH Calculation:**
- Templates, Symbols, Undo, Redo, Reset Keyboard Shortcuts available.
- Enter your answer and submit.

\[ \text{pH} = \boxed{\ \ \ } \]
Transcribed Image Text:### pH of a Strong Acid and a Strong Base **pH Definition and Formula:** pH is a logarithmic scale used to indicate the hydrogen ion concentration, \([H^+]\), of a solution: \[ \text{pH} = -\log[H^+] \] **Relation to Water Ionization:** Due to the autoionization of water, in any aqueous solution, the hydrogen ion concentration and the hydroxide ion concentration, \([OH^-]\), are related by the \(K_w\) of water: \[ K_w = [H^+][OH^-] = 1.00 \times 10^{-14} \] where \(1.00 \times 10^{-14}\) is the value at approximately 297 K. Based on this relation, the pH and pOH are related as: \[ 14.00 = \text{pH} + \text{pOH} \] **Temperature Conditions:** The temperature for each solution is carried out at approximately 297 K where \(K_w = 1.00 \times 10^{-14}\). **Exercise Instructions:** #### Part A 0.85 g of hydrogen chloride (HCl) is dissolved in water to make 7.5 L of solution. What is the pH of the resulting hydrochloric acid solution? Express the pH numerically to two decimal places. **Input Box for pH Calculation:** - Templates, Symbols, Undo, Redo, Reset Keyboard Shortcuts available. - Enter your answer and submit. \[ \text{pH} = \boxed{\ \ \ } \] #### Part B 0.75 g of sodium hydroxide (NaOH) pellets are dissolved in water to make 8.5 L of solution. What is the pH of this solution? Express the pH numerically to two decimal places. **Input Box for pH Calculation:** - Templates, Symbols, Undo, Redo, Reset Keyboard Shortcuts available. - Enter your answer and submit. \[ \text{pH} = \boxed{\ \ \ } \]
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