5.40. The tank in Fig. 5.33 is cylindrical and has a vertical axis. Its horizontal cross-sectional area is 100 ft2. The hole in the bottom has a cross-sectional area of 营水营 10 ft 10 ft 1 ft². The interface between the gasoline and the water remains perfectly horizon- tal at all times. That interface is now 10 ft above the bottom. How soon will gasoline start to flow out the bottom? Assume frictionless flow.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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**Transcription for Educational Website:**

**Problem 5.40**

The tank depicted in Figure 5.33 is cylindrical with a vertical axis. It has a horizontal cross-sectional area of 100 square feet. There is a hole at the bottom of the tank with a cross-sectional area of 1 square foot. The interface between the gasoline and the water inside the tank remains perfectly horizontal at all times. Currently, this interface is 10 feet above the tank's bottom. Determine how soon gasoline will start to flow out from the bottom, assuming frictionless flow.

**Figure 5.33 Description:**

There is a schematic diagram showing a cylindrical tank divided into two sections. The top section contains gasoline, marked with black shading. The bottom section contains water, marked with a different pattern. The tank’s entire height is 20 feet, with each liquid occupying 10 feet in height. A small outlet at the bottom of the tank is also illustrated, where the fluid is expected to flow out.

The task involves understanding the dynamics of fluid flow given these conditions and determining the time at which gasoline begins to flow out of the tank through the outlet. The assumption of frictionless flow suggests that no energy is lost due to friction in the system.
Transcribed Image Text:**Transcription for Educational Website:** **Problem 5.40** The tank depicted in Figure 5.33 is cylindrical with a vertical axis. It has a horizontal cross-sectional area of 100 square feet. There is a hole at the bottom of the tank with a cross-sectional area of 1 square foot. The interface between the gasoline and the water inside the tank remains perfectly horizontal at all times. Currently, this interface is 10 feet above the tank's bottom. Determine how soon gasoline will start to flow out from the bottom, assuming frictionless flow. **Figure 5.33 Description:** There is a schematic diagram showing a cylindrical tank divided into two sections. The top section contains gasoline, marked with black shading. The bottom section contains water, marked with a different pattern. The tank’s entire height is 20 feet, with each liquid occupying 10 feet in height. A small outlet at the bottom of the tank is also illustrated, where the fluid is expected to flow out. The task involves understanding the dynamics of fluid flow given these conditions and determining the time at which gasoline begins to flow out of the tank through the outlet. The assumption of frictionless flow suggests that no energy is lost due to friction in the system.
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