Blue Blue dye stock solution 0.293 M Absorbance at 630 nm 0.00265 Calibration curve y = 0.0833x A solution is prepared by diluting 2.81 mL of the blue dye stock solution to 25.00 mL. The measure absorbance for the prepared solution is listed in the data table. (a) What is the theoretical molar concentration? [Blue]theoretical | × 10 |M (b) What is the experimental molar concentration? [Bluelexperimental x 10 M (c) What is the percent error? Percent error (blue) =
Blue Blue dye stock solution 0.293 M Absorbance at 630 nm 0.00265 Calibration curve y = 0.0833x A solution is prepared by diluting 2.81 mL of the blue dye stock solution to 25.00 mL. The measure absorbance for the prepared solution is listed in the data table. (a) What is the theoretical molar concentration? [Blue]theoretical | × 10 |M (b) What is the experimental molar concentration? [Bluelexperimental x 10 M (c) What is the percent error? Percent error (blue) =
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...
Related questions
Question
![### Blue Dye Concentration Calculation
**Blue Dye Stock Solution:**
- **Concentration:** 0.293 M
**Experiment Data:**
- **Absorbance at 630 nm:** 0.00265
- **Calibration curve equation:** \( y = 0.0833x \)
A solution is prepared by diluting 2.81 mL of the blue dye stock solution to a final volume of 25.00 mL. The absorbance for the prepared solution is listed above.
#### Questions:
(a) **What is the theoretical molar concentration?**
\[ [\text{Blue}]_{\text{theoretical}} = \boxed{\phantom{.}} \times 10^{\boxed{\phantom{0}}} \, \text{M} \]
(b) **What is the experimental molar concentration?**
\[ [\text{Blue}]_{\text{experimental}} = \boxed{\phantom{.}} \times 10^{\boxed{\phantom{0}}} \, \text{M} \]
(c) **What is the percent error?**
\[ \text{Percent error (blue)} = \boxed{\phantom{0}} \% \]
---
### Explanation:
1. **Theoretical Molar Concentration:**
- This involves calculating the concentration after dilution using the formula:
\[
C_1V_1 = C_2V_2
\]
Where:
- \( C_1 \) = Initial concentration of the stock solution
- \( V_1 \) = Volume of the stock solution used
- \( C_2 \) = Final concentration after dilution (theoretical molar concentration)
- \( V_2 \) = Final total volume of the solution
2. **Experimental Molar Concentration:**
- Using the calibration curve equation \( y = 0.0833x \), where \( y \) is the absorbance and \( x \) is the concentration, solve for \( x \) using the given absorbance.
3. **Percent Error:**
- Calculate the percent error between the experimental and theoretical molar concentrations using:
\[
\text{Percent Error} = \left( \frac{\left| \text{Theoretical value} - \text{Experimental value} \right|}{\text{Theoretical value}} \right](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65e83490-1080-404e-b789-c63cb753ded3%2Fe0310bb5-9e80-45b8-9258-48ef13c819d6%2Fxp46c6j.png&w=3840&q=75)
Transcribed Image Text:### Blue Dye Concentration Calculation
**Blue Dye Stock Solution:**
- **Concentration:** 0.293 M
**Experiment Data:**
- **Absorbance at 630 nm:** 0.00265
- **Calibration curve equation:** \( y = 0.0833x \)
A solution is prepared by diluting 2.81 mL of the blue dye stock solution to a final volume of 25.00 mL. The absorbance for the prepared solution is listed above.
#### Questions:
(a) **What is the theoretical molar concentration?**
\[ [\text{Blue}]_{\text{theoretical}} = \boxed{\phantom{.}} \times 10^{\boxed{\phantom{0}}} \, \text{M} \]
(b) **What is the experimental molar concentration?**
\[ [\text{Blue}]_{\text{experimental}} = \boxed{\phantom{.}} \times 10^{\boxed{\phantom{0}}} \, \text{M} \]
(c) **What is the percent error?**
\[ \text{Percent error (blue)} = \boxed{\phantom{0}} \% \]
---
### Explanation:
1. **Theoretical Molar Concentration:**
- This involves calculating the concentration after dilution using the formula:
\[
C_1V_1 = C_2V_2
\]
Where:
- \( C_1 \) = Initial concentration of the stock solution
- \( V_1 \) = Volume of the stock solution used
- \( C_2 \) = Final concentration after dilution (theoretical molar concentration)
- \( V_2 \) = Final total volume of the solution
2. **Experimental Molar Concentration:**
- Using the calibration curve equation \( y = 0.0833x \), where \( y \) is the absorbance and \( x \) is the concentration, solve for \( x \) using the given absorbance.
3. **Percent Error:**
- Calculate the percent error between the experimental and theoretical molar concentrations using:
\[
\text{Percent Error} = \left( \frac{\left| \text{Theoretical value} - \text{Experimental value} \right|}{\text{Theoretical value}} \right
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Knowledge Booster
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.Recommended textbooks for you

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning

Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY