2. Determine the volume of 0.10 M potassium thiocyanate needed to prepare 100.00 mL of a 0.00100 M solution of KSCN. 3. Determine the volume of 0.20 M iron (III) nitrate needed to prepare 50.00 mL of a 0.0100 M solution of Fe(NO3)3.
2. Determine the volume of 0.10 M potassium thiocyanate needed to prepare 100.00 mL of a 0.00100 M solution of KSCN. 3. Determine the volume of 0.20 M iron (III) nitrate needed to prepare 50.00 mL of a 0.0100 M solution of Fe(NO3)3.
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...
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Please solve this prelab question. Thanks
![### Preparation of a 0.10 M HNO₃ Solution from Concentrated HNO₃
#### Instructions:
1. A 0.10 M HNO₃ solution will be prepared from concentrated HNO₃.
a. **Determine the Concentration of Stock HNO₃:**
- Using the method outlined in Experiment 5, determine the concentration of a stock bottle of concentrated nitric acid.
- Given data:
- Density = 1.42 g/mL
- 70% by mass HNO₃
b. **Calculate the Volume of Concentrated HNO₃:**
- Calculate the volume of concentrated HNO₃ needed to prepare 500 mL of a 0.10 M solution.
#### Detailed Breakdown:
**Part (a) - Determining Concentration:**
To determine the molarity (M) of the concentrated stock HNO₃:
1. Calculate the mass of HNO₃ in 1 mL of solution:
- Mass HNO₃ per mL = Density * % by mass
- Mass HNO₃ per mL = 1.42 g/mL * 0.70 = 0.994 g/mL
2. Convert the mass of HNO₃ to moles:
- Molar mass of HNO₃ ≈ 63.01 g/mol
- Moles HNO₃ per mL = Mass / Molar mass
- Moles HNO₃ per mL = 0.994 g / 63.01 g/mol ≈ 0.0158 mol/mL
3. Convert to molarity (moles per liter):
- Molarity (M) = Moles per mL * 1000 (to convert mL to L)
- Molarity = 0.0158 mol/mL * 1000 = 15.8 M
**Part (b) - Calculating the Volume Needed:**
To prepare 500 mL of a 0.10 M HNO₃ solution from the 15.8 M stock solution, use the dilution formula \(C_1V_1 = C_2V_2\):
- \(C_1\) = Initial concentration (15.8 M)
- \(V_1\) = Volume of stock solution needed
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf5ca60f-6906-44bf-a492-477ae53fc791%2F43e18b01-610e-4ea6-8fab-f1f78f8de86f%2Fb6f4q2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Preparation of a 0.10 M HNO₃ Solution from Concentrated HNO₃
#### Instructions:
1. A 0.10 M HNO₃ solution will be prepared from concentrated HNO₃.
a. **Determine the Concentration of Stock HNO₃:**
- Using the method outlined in Experiment 5, determine the concentration of a stock bottle of concentrated nitric acid.
- Given data:
- Density = 1.42 g/mL
- 70% by mass HNO₃
b. **Calculate the Volume of Concentrated HNO₃:**
- Calculate the volume of concentrated HNO₃ needed to prepare 500 mL of a 0.10 M solution.
#### Detailed Breakdown:
**Part (a) - Determining Concentration:**
To determine the molarity (M) of the concentrated stock HNO₃:
1. Calculate the mass of HNO₃ in 1 mL of solution:
- Mass HNO₃ per mL = Density * % by mass
- Mass HNO₃ per mL = 1.42 g/mL * 0.70 = 0.994 g/mL
2. Convert the mass of HNO₃ to moles:
- Molar mass of HNO₃ ≈ 63.01 g/mol
- Moles HNO₃ per mL = Mass / Molar mass
- Moles HNO₃ per mL = 0.994 g / 63.01 g/mol ≈ 0.0158 mol/mL
3. Convert to molarity (moles per liter):
- Molarity (M) = Moles per mL * 1000 (to convert mL to L)
- Molarity = 0.0158 mol/mL * 1000 = 15.8 M
**Part (b) - Calculating the Volume Needed:**
To prepare 500 mL of a 0.10 M HNO₃ solution from the 15.8 M stock solution, use the dilution formula \(C_1V_1 = C_2V_2\):
- \(C_1\) = Initial concentration (15.8 M)
- \(V_1\) = Volume of stock solution needed
-
![### Exercise Questions:
**2.** Determine the volume of 0.10 M potassium thiocyanate needed to prepare 100.00 mL of a 0.00100 M solution of KSCN.
**3.** Determine the volume of 0.20 M iron (III) nitrate needed to prepare 50.00 mL of a 0.0100 M solution of Fe(NO₃)₃.
---
These exercises require the application of the dilution formula:
\[ M_1 V_1 = M_2 V_2 \]
Where:
- \( M_1 \) is the molarity of the initial concentrated solution.
- \( V_1 \) is the volume of the concentrated solution required.
- \( M_2 \) is the molarity of the final diluted solution.
- \( V_2 \) is the volume of the final diluted solution.
For each exercise:
1. **Exercise 2:**
- Initial molarity \( (M_1) \): 0.10 M
- Final molarity \( (M_2) \): 0.00100 M
- Final volume \( (V_2) \): 100.00 mL
2. **Exercise 3:**
- Initial molarity \( (M_1) \): 0.20 M
- Final molarity \( (M_2) \): 0.0100 M
- Final volume \( (V_2) \): 50.00 mL
By rearranging the dilution equation to solve for \( V_1 \) (the volume of the concentrated solution needed), the following calculations can be applied:
\[ V_1 = \frac{M_2 \times V_2}{M_1} \]
Substitute the given values for each problem to find \( V_1 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf5ca60f-6906-44bf-a492-477ae53fc791%2F43e18b01-610e-4ea6-8fab-f1f78f8de86f%2Fmicsbys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Exercise Questions:
**2.** Determine the volume of 0.10 M potassium thiocyanate needed to prepare 100.00 mL of a 0.00100 M solution of KSCN.
**3.** Determine the volume of 0.20 M iron (III) nitrate needed to prepare 50.00 mL of a 0.0100 M solution of Fe(NO₃)₃.
---
These exercises require the application of the dilution formula:
\[ M_1 V_1 = M_2 V_2 \]
Where:
- \( M_1 \) is the molarity of the initial concentrated solution.
- \( V_1 \) is the volume of the concentrated solution required.
- \( M_2 \) is the molarity of the final diluted solution.
- \( V_2 \) is the volume of the final diluted solution.
For each exercise:
1. **Exercise 2:**
- Initial molarity \( (M_1) \): 0.10 M
- Final molarity \( (M_2) \): 0.00100 M
- Final volume \( (V_2) \): 100.00 mL
2. **Exercise 3:**
- Initial molarity \( (M_1) \): 0.20 M
- Final molarity \( (M_2) \): 0.0100 M
- Final volume \( (V_2) \): 50.00 mL
By rearranging the dilution equation to solve for \( V_1 \) (the volume of the concentrated solution needed), the following calculations can be applied:
\[ V_1 = \frac{M_2 \times V_2}{M_1} \]
Substitute the given values for each problem to find \( V_1 \).
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