(Figure 1) shows a tank of 20°C water with a nozzle h = 25 cm below the surface. Bernoulli's equation applies to the flow between points 1 and 2 on the streamline, but not to the flow between points 2 and 3. Figure h 4.0 cm 1.0 mm < 1 of 1 What is the volume flow rate through the nozzle in L/min? Assume that the water level in the tank is held constant. Express your answer in liters per minute. |Π| ΑΣΦ Submit Provide Feedback 3 Request Answer C ? L/min

Given: The constant height, h = 25 cm Diameter of nozzle, d = 1.0 mm To Find: Volume flow rate in L/s, Q=? Analysis: The volume flow rate through the nozzle can be obtained by multiplying the area of the nozzle with the velocity of fluid inside the nozzle. The velocity of the fluid inside the nozzle can be found by applying the Bernoulli's equation between points 1 and 3 and by considering the entry loss inside the nozzle. The entry head loss is given by hentry = 0.5 v22gCalculations: Applying Bernoulli's equation between point 1 and 3 and considering the entry loss in the nozzle. p1 + 12ρv12 + ρgh1 = p3 + 12ρv32 + ρgh3+ρghentry 12ρv32+0.5×12ρv2= p1 - p3 + ρg(h1-h3) 34×1000×v32 = 0 + 1000×9.81×0.25 v3 = 43×9.81×0.25 v3 = 1.81 ms The flow rate through the nozzle is Q = Av =π4d2×v =π4×0.0012×1.81 =1.42×10-6 m3 As 1000 Ls = 1 m3 The volume flow rate in L/s is Q = 1.42×10-6×1000 = 0.00142 Ls The volume flow rate in L/min is Q = 0.00142×60 Lmin =0.0852 LminConclusion: The volume flow rate through the nozzle is 0.0852L/min.

Answered: (Figure 1) shows a tank of 20°C water with a nozzle h = 25 cm below the surface. Bernoulli's equation applies to the flow between points 1 and 2 on the…

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**Title: Understanding Fluid Flow Through a Nozzle Using Bernoulli's Equation**

**Description:**

This educational module explains the application of Bernoulli's equation to determine the flow rate of water through a nozzle in a tank. The example provided involves water at 20°C, which flows through a nozzle located 25 cm below the water surface in the tank. The goal is to find the volume flow rate in liters per minute (L/min).

**Diagram Explanation:**

- **Figure 1** illustrates a tank filled with water.
- The water surface is marked, with a point labeled "1" directly below it.
- The nozzle is positioned 25 cm below this surface, where a point labeled "2" marks the entrance to the nozzle.
- Point "3" is shown at the nozzle's exit, featuring a vertical pipe extending from the tank.

**Measurements in the Diagram:**

- The vertical distance from the surface to the nozzle is indicated as \( h = 25 \, \text{cm} \).
- The horizontal distance to the edge of the accompanying pipe extends 4.0 cm.
- The diameter of the pipe at the nozzle's exit is 1.0 mm.

**Problem Statement (Part A):**

Determine the volume flow rate through the nozzle in L/min, assuming a constant water level in the tank.

**Instructions for Calculation:**

1. Apply Bernoulli’s equation to the streamline between points 1 and 2, where the equation is applicable.
2. Use the properties of fluid flow and dimensions provided to calculate the desired volume flow rate.

**Interactive Component:**

An input box is provided for students to enter their calculated flow rate (Q) in liters per minute, followed by a "Submit" button for feedback on their answer.

**Additional Resources:**

- A link to provide feedback or request further clarification on the topic.

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