A chemist dissolves 527. mg of pure perchloric acid in enough water to make up 120. mL of solution. Calculate the pH of the solution. Round your answer to 3 significant decimal places. 0 x10 X

Chemistry
10th Edition
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
Section: Chapter Questions
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**Problem Statement:**

A chemist dissolves \( 527. \, \text{mg} \) of pure perchloric acid in enough water to make up \( 120. \, \text{mL} \) of solution. Calculate the pH of the solution. Round your answer to 3 significant decimal places.

**Input Fields:**

- There is a rectangular input box for entering the calculated pH value.
- Below the input box, there are two square boxes, one with \( \boxed{x10} \) written next to it, and a reset button symbolized by a circular arrow.
- The "X" button likely serves as a cancel or clear function.

**Explanation for Educational Content:**

To solve this problem, you need to:

1. Convert the mass of perchloric acid (HClO₄) from milligrams to grams.
2. Calculate the number of moles of perchloric acid using its molar mass.
3. Determine the molarity of the solution by dividing the moles of perchloric acid by the volume of the solution in liters.
4. Because perchloric acid is a strong acid, it fully dissociates in water. The concentration of \( \text{H}^+ \) ions will be equal to the molarity of the perchloric acid solution.
5. Use the formula \( \text{pH} = -\log[\text{H}^+] \) to find the pH of the solution.

The interactive elements on the screen - the input box for the answer, the multiplication option by 10, and the reset/clear options - are tools to facilitate entering and adjusting your answer as you work through the problem.
Transcribed Image Text:**Problem Statement:** A chemist dissolves \( 527. \, \text{mg} \) of pure perchloric acid in enough water to make up \( 120. \, \text{mL} \) of solution. Calculate the pH of the solution. Round your answer to 3 significant decimal places. **Input Fields:** - There is a rectangular input box for entering the calculated pH value. - Below the input box, there are two square boxes, one with \( \boxed{x10} \) written next to it, and a reset button symbolized by a circular arrow. - The "X" button likely serves as a cancel or clear function. **Explanation for Educational Content:** To solve this problem, you need to: 1. Convert the mass of perchloric acid (HClO₄) from milligrams to grams. 2. Calculate the number of moles of perchloric acid using its molar mass. 3. Determine the molarity of the solution by dividing the moles of perchloric acid by the volume of the solution in liters. 4. Because perchloric acid is a strong acid, it fully dissociates in water. The concentration of \( \text{H}^+ \) ions will be equal to the molarity of the perchloric acid solution. 5. Use the formula \( \text{pH} = -\log[\text{H}^+] \) to find the pH of the solution. The interactive elements on the screen - the input box for the answer, the multiplication option by 10, and the reset/clear options - are tools to facilitate entering and adjusting your answer as you work through the problem.
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