The hydroxide ion concentrations will need to be determined to use later in the calculations. The dilution formula is: M₁V₁= = M₂V₂ a. 2.0-mL of 0.10M NaOH and 8.0-mL of water are combined initially. What is the new concentration of the NaOH in the combined solution? (Note the total volume is 10.0- mL) b. 4.0-mL of 0.10M NaOH and 6.0-mL of water are combined initially. What is the new concentration of the NaOH in the combined solution? C. The solution in (a) is combined with 10.0mL of CV. What is the concentration of the NaOH solution? (Note the total volume is now 20.0-mL) d. The solution in (b) is combined with 10.0mL of CV. What is the concentration of the NaOH solution?

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
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
---

**Title: Understanding Hydroxide Ion Concentrations and Rates of Reactions**

**Introduction:**
In this section, we explore how to determine hydroxide ion (OH-) concentrations in solutions through dilution and how to approximate the order of reactions using given rate constants.

**Hydroxide Ion Concentration Calculations:**
The hydroxide ion concentrations will need to be determined to use later in the calculations. The dilution formula is: 
\[ M_1V_1 = M_2V_2 \]

**Problems and Solutions:**

**a.** *Concentration in Combined Solutions:*
   
2.0 mL of 0.10 M NaOH and 8.0 mL of water are combined initially. What is the new concentration of the NaOH in the combined solution? (Note the total volume is 10.0 mL)

**Solution:**  
\[ M_1 = 0.10 \text{ M}, V_1 = 2.0 \text{ mL}, V_2 = 10.0 \text{ mL} \]  
\[ M_2 = \frac{M_1V_1}{V_2} = \frac{(0.10)(2.0)}{10.0} = 0.02 \text{ M} \]

**b.** *Different Initial Volumes:*
   
4.0 mL of 0.10 M NaOH and 6.0 mL of water are combined initially. What is the new concentration of the NaOH in the combined solution?

**Solution:**  
\[ M_1 = 0.10 \text{ M}, V_1 = 4.0 \text{ mL}, V_2 = 10.0 \text{ mL} \]  
\[ M_2 = \frac{M_1V_1}{V_2} = \frac{(0.10)(4.0)}{10.0} = 0.04 \text{ M} \]

**c.** *Further Dilution:*

The solution in (a) is combined with 10.0 mL of CV. What is the concentration of the NaOH solution? (Note the total volume is now 20.0 mL)

**Solution:**  
The concentration of NaOH from (a) is 0.02 M with a volume of
Transcribed Image Text:--- **Title: Understanding Hydroxide Ion Concentrations and Rates of Reactions** **Introduction:** In this section, we explore how to determine hydroxide ion (OH-) concentrations in solutions through dilution and how to approximate the order of reactions using given rate constants. **Hydroxide Ion Concentration Calculations:** The hydroxide ion concentrations will need to be determined to use later in the calculations. The dilution formula is: \[ M_1V_1 = M_2V_2 \] **Problems and Solutions:** **a.** *Concentration in Combined Solutions:* 2.0 mL of 0.10 M NaOH and 8.0 mL of water are combined initially. What is the new concentration of the NaOH in the combined solution? (Note the total volume is 10.0 mL) **Solution:** \[ M_1 = 0.10 \text{ M}, V_1 = 2.0 \text{ mL}, V_2 = 10.0 \text{ mL} \] \[ M_2 = \frac{M_1V_1}{V_2} = \frac{(0.10)(2.0)}{10.0} = 0.02 \text{ M} \] **b.** *Different Initial Volumes:* 4.0 mL of 0.10 M NaOH and 6.0 mL of water are combined initially. What is the new concentration of the NaOH in the combined solution? **Solution:** \[ M_1 = 0.10 \text{ M}, V_1 = 4.0 \text{ mL}, V_2 = 10.0 \text{ mL} \] \[ M_2 = \frac{M_1V_1}{V_2} = \frac{(0.10)(4.0)}{10.0} = 0.04 \text{ M} \] **c.** *Further Dilution:* The solution in (a) is combined with 10.0 mL of CV. What is the concentration of the NaOH solution? (Note the total volume is now 20.0 mL) **Solution:** The concentration of NaOH from (a) is 0.02 M with a volume of
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Gravimetric Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY