11 3 ut of n Use the information provided and the figure below to sand-filled Darcy tube. Also determine how many hours the water will take to flow from one end of the sand- filled tube to the other (travel the distance between X₁ and x₂). **Note, you will need to go through several calculations to determine effective velocity. For each calculation, write the equation. Then, fill in the values for each variable WITH UNITS. You should be sure to write the answer to each step with the proper units. Since you are dealing with a small distance, provide your final effective velocity units in cm/hour. You can provide your travel time in decimal hours (e.g. 2.5 hours, rather than 2 hours and 30 minutes). h₁ 33 cm I - Sand Reference level x1 30 cm Area A + Area of sand-filled tube: 735 cm² Hydraulic conductivity of sand: 40 m/day effective porosity: 0.45 h₂ 27 cm z=0

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**Title: Calculating Effective Velocity and Travel Time in a Sand-Filled Darcy Tube**

**Objective:**  
Use the information provided and the figure below to determine the effective velocity of water through the sand-filled Darcy tube. Also determine how many hours the water will take to flow from one end of the sand-filled tube to the other (travel the distance between \(x_1\) and \(x_2\)).

### Instructions:

- **Step 1:** You will need to perform several calculations to determine the effective velocity.
- **Step 2:** For each calculation, write the equation.
- **Step 3:** Fill in the values for each variable with units.
- **Note:** Provide all answers with proper units. Since you are dealing with a small distance, provide your final effective velocity units in cm/hour. You can provide your travel time in decimal hours (e.g., 2.5 hours, rather than 2 hours and 30 minutes).

### Diagram Explanation:

- The diagram features a U-shaped apparatus.
- **Left Side:**
  - Water is shown entering from the top.
  - The height (\(h_1\)) from the reference level to the water is 33 cm.
- **Center Section:**
  - Contains sand, labeled as "Sand."
  - Marked distance between \(x_1\) to \(x_2\) is 30 cm.
  - The horizontal area of the sand-filled section is labeled as "Area A."
- **Right Side:**
  - Water is shown exiting from the top.
  - The height (\(h_2\)) from the reference level to the water is 27 cm.

### Given Data:

- **Area of sand-filled tube:** 735 cm²
- **Hydraulic conductivity of sand:** 40 m/day
- **Effective porosity:** 0.45

**End of Instructions.**

Use the information and equations learned to calculate and answer the given tasks.
Transcribed Image Text:**Title: Calculating Effective Velocity and Travel Time in a Sand-Filled Darcy Tube** **Objective:** Use the information provided and the figure below to determine the effective velocity of water through the sand-filled Darcy tube. Also determine how many hours the water will take to flow from one end of the sand-filled tube to the other (travel the distance between \(x_1\) and \(x_2\)). ### Instructions: - **Step 1:** You will need to perform several calculations to determine the effective velocity. - **Step 2:** For each calculation, write the equation. - **Step 3:** Fill in the values for each variable with units. - **Note:** Provide all answers with proper units. Since you are dealing with a small distance, provide your final effective velocity units in cm/hour. You can provide your travel time in decimal hours (e.g., 2.5 hours, rather than 2 hours and 30 minutes). ### Diagram Explanation: - The diagram features a U-shaped apparatus. - **Left Side:** - Water is shown entering from the top. - The height (\(h_1\)) from the reference level to the water is 33 cm. - **Center Section:** - Contains sand, labeled as "Sand." - Marked distance between \(x_1\) to \(x_2\) is 30 cm. - The horizontal area of the sand-filled section is labeled as "Area A." - **Right Side:** - Water is shown exiting from the top. - The height (\(h_2\)) from the reference level to the water is 27 cm. ### Given Data: - **Area of sand-filled tube:** 735 cm² - **Hydraulic conductivity of sand:** 40 m/day - **Effective porosity:** 0.45 **End of Instructions.** Use the information and equations learned to calculate and answer the given tasks.
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