During the production of biodiesel, glycerin is a waste product and is collected by gravity separation because its specific gravity (SG) of 1.26 is much higher than that of biodiesel. Glycerin is withdrawn from the bottom of the separation tank through a pipe that has a pressure \( p_1 = 350 \, \text{kPa} \) gauge, where \( D = 70 \, \text{cm} \) and the flow rate is \( 680 \, \text{L/s} \). Find the pressure at section 2, which is \( 0.8 \, \text{m} \) higher and where the diameter has been reduced to \( d = 35 \, \text{cm} \). Assume the flow is inviscid. (Gravity acceleration: \( g = 9.81 \, \text{m/s}^2 \)) **Diagram Explanation:** The diagram shows a separation tank, with biodiesel floating on top of glycerin. Glycerin is extracted from the bottom of the tank through a pipe. This pipe has two sections: 1. **Section 1:** Located at the bottom, with a larger diameter \( D \). 2. **Section 2:** Positioned 0.8 m higher, with a reduced diameter \( d \). **Choices for Pressure at Section 2:** - \( 412 \, \text{kPa} \) - \( \mathbf{311 \, \text{kPa}} \) (Selected Answer) - \( 356 \, \text{kPa} \) - \( 257 \, \text{kPa} \)
During the production of biodiesel, glycerin is a waste product and is collected by gravity separation because its specific gravity (SG) of 1.26 is much higher than that of biodiesel. Glycerin is withdrawn from the bottom of the separation tank through a pipe that has a pressure \( p_1 = 350 \, \text{kPa} \) gauge, where \( D = 70 \, \text{cm} \) and the flow rate is \( 680 \, \text{L/s} \). Find the pressure at section 2, which is \( 0.8 \, \text{m} \) higher and where the diameter has been reduced to \( d = 35 \, \text{cm} \). Assume the flow is inviscid. (Gravity acceleration: \( g = 9.81 \, \text{m/s}^2 \)) **Diagram Explanation:** The diagram shows a separation tank, with biodiesel floating on top of glycerin. Glycerin is extracted from the bottom of the tank through a pipe. This pipe has two sections: 1. **Section 1:** Located at the bottom, with a larger diameter \( D \). 2. **Section 2:** Positioned 0.8 m higher, with a reduced diameter \( d \). **Choices for Pressure at Section 2:** - \( 412 \, \text{kPa} \) - \( \mathbf{311 \, \text{kPa}} \) (Selected Answer) - \( 356 \, \text{kPa} \) - \( 257 \, \text{kPa} \)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:During the production of biodiesel, glycerin is a waste product and is collected by gravity separation because its specific gravity (SG) of 1.26 is much higher than that of biodiesel. Glycerin is withdrawn from the bottom of the separation tank through a pipe that has a pressure \( p_1 = 350 \, \text{kPa} \) gauge, where \( D = 70 \, \text{cm} \) and the flow rate is \( 680 \, \text{L/s} \). Find the pressure at section 2, which is \( 0.8 \, \text{m} \) higher and where the diameter has been reduced to \( d = 35 \, \text{cm} \). Assume the flow is inviscid. (Gravity acceleration: \( g = 9.81 \, \text{m/s}^2 \))
**Diagram Explanation:**
The diagram shows a separation tank, with biodiesel floating on top of glycerin. Glycerin is extracted from the bottom of the tank through a pipe. This pipe has two sections:
1. **Section 1:** Located at the bottom, with a larger diameter \( D \).
2. **Section 2:** Positioned 0.8 m higher, with a reduced diameter \( d \).
**Choices for Pressure at Section 2:**
- \( 412 \, \text{kPa} \)
- \( \mathbf{311 \, \text{kPa}} \) (Selected Answer)
- \( 356 \, \text{kPa} \)
- \( 257 \, \text{kPa} \)
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