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2.32 The cyclindrical tank with hemispherical ends shown in Fig. P2.32 contains a volatile liquid and its vapor. The liquid density is 800 kg/m³, and its vapor density is negligible. The pressure in the vapor is 120 kPa (abs), and the atmospheric pres- sure is 101 kPa (abs). Determine (a) the gage pressure reading on the pressure gage and (b) the height, h, of the mercury manometer.

2.32 The cyclindrical tank with hemispherical ends shown in Fig. P2.32 contains a volatile liquid and its vapor. The liquid density is 800 kg/m³, and its vapor density is negligible. The pressure in the vapor is 120 kPa (abs), and the atmospheric pres- sure is 101 kPa (abs). Determine (a) the gage pressure reading on the pressure gage and (b) the height, h, of the mercury manometer.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Transcription and Explanation for Educational Use** **Problem 2.32** **Description:** The problem involves a cylindrical tank with hemispherical ends, as depicted in Figure P2.32. The tank contains a volatile liquid and its vapor. Important parameters given in the problem are: - Liquid density: \(800 \, \text{kg/m}^3\) - Vapor density: Negligible - Vapor pressure: \(120 \, \text{kPa (abs)}\) - Atmospheric pressure: \(101 \, \text{kPa (abs)}\) **Objectives:** (a) Determine the gage pressure reading on the pressure gauge. (b) Find the height \(h\) of the mercury in the manometer. **Diagram Explanation:** - The tank is vertically oriented with two compartments: one for vapor (upper part) and one for liquid (lower part). The tank is shown to have hemispherical ends. - A pressure gauge is attached to the side of the tank, with a labeled distance of 1 meter from the bottom and top of the liquid level. - A manometer filled with mercury is connected to the tank. The manometer is U-shaped, with one side open to the atmosphere and the other side connected to the tank. - The height \(h\) represents the mercury level difference in the manometer's arms. **Annotations:** - The gauge measures the pressure exerted by the liquid column as influenced by the vapor pressure. - The figure highlights critical measurements for calculating the pressure readings and mercury's column height. This information gives context for solving fluid mechanics problems that involve pressure measurement using gauges and manometers in closed systems.
Transcribed Image Text:**Transcription and Explanation for Educational Use** **Problem 2.32** **Description:** The problem involves a cylindrical tank with hemispherical ends, as depicted in Figure P2.32. The tank contains a volatile liquid and its vapor. Important parameters given in the problem are: - Liquid density: \(800 \, \text{kg/m}^3\) - Vapor density: Negligible - Vapor pressure: \(120 \, \text{kPa (abs)}\) - Atmospheric pressure: \(101 \, \text{kPa (abs)}\) **Objectives:** (a) Determine the gage pressure reading on the pressure gauge. (b) Find the height \(h\) of the mercury in the manometer. **Diagram Explanation:** - The tank is vertically oriented with two compartments: one for vapor (upper part) and one for liquid (lower part). The tank is shown to have hemispherical ends. - A pressure gauge is attached to the side of the tank, with a labeled distance of 1 meter from the bottom and top of the liquid level. - A manometer filled with mercury is connected to the tank. The manometer is U-shaped, with one side open to the atmosphere and the other side connected to the tank. - The height \(h\) represents the mercury level difference in the manometer's arms. **Annotations:** - The gauge measures the pressure exerted by the liquid column as influenced by the vapor pressure. - The figure highlights critical measurements for calculating the pressure readings and mercury's column height. This information gives context for solving fluid mechanics problems that involve pressure measurement using gauges and manometers in closed systems.
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