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Liquid A is known to have a higher viscosity than Liquid B. Use this fact to predict the result of each experiment in the table below, if you can.

Liquid A is known to have a higher viscosity than Liquid B. Use this fact to predict the result of each experiment in the table below, if you can.

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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**Educational Content on Viscosity Experiments** **Introduction** Liquid A is known to have a higher viscosity than Liquid B. Use this fact to predict the result of each experiment described below. **Experiments and Predictions** | **Experiment** | **Predicted Outcome** | |----------------|------------------------| | Liquid A and Liquid B are each pumped through tubes with an inside diameter of 48.0 mm, and the pressures \(P_A\) and \(P_B\) needed to produce a steady flow of 4.7 mL/s are measured. | ○ \(P_A\) will be greater than \(P_B\) <br> ○ \(P_A\) will be less than \(P_B\) <br> ○ \(P_A\) will be equal to \(P_B\) <br> ○ It's impossible to predict whether \(P_A\) or \(P_B\) will be greater without more information. | | 50.0 mL each of Liquid A and Liquid B are poured through a funnel, and the times \(t_A\) and \(t_B\) needed to pour each liquid through the funnel are measured. | ○ \(t_A\) will be greater than \(t_B\) <br> ○ \(t_A\) will be less than \(t_B\) <br> ○ \(t_A\) will be equal to \(t_B\) <br> ○ It's impossible to predict whether \(t_A\) or \(t_B\) will be greater without more information. | **Explanation of Concepts** - **Viscosity**: A measure of a fluid's resistance to flow. A higher viscosity indicates a thicker fluid. - **Pressure (\(P\)) and Flow Rate**: In the first experiment, higher viscosity requires greater pressure to maintain the same flow rate. - **Pouring Time (\(t\))**: In the second experiment, higher viscosity results in a longer time to pour the same volume through a funnel.
Transcribed Image Text:**Educational Content on Viscosity Experiments** **Introduction** Liquid A is known to have a higher viscosity than Liquid B. Use this fact to predict the result of each experiment described below. **Experiments and Predictions** | **Experiment** | **Predicted Outcome** | |----------------|------------------------| | Liquid A and Liquid B are each pumped through tubes with an inside diameter of 48.0 mm, and the pressures \(P_A\) and \(P_B\) needed to produce a steady flow of 4.7 mL/s are measured. | ○ \(P_A\) will be greater than \(P_B\) <br> ○ \(P_A\) will be less than \(P_B\) <br> ○ \(P_A\) will be equal to \(P_B\) <br> ○ It's impossible to predict whether \(P_A\) or \(P_B\) will be greater without more information. | | 50.0 mL each of Liquid A and Liquid B are poured through a funnel, and the times \(t_A\) and \(t_B\) needed to pour each liquid through the funnel are measured. | ○ \(t_A\) will be greater than \(t_B\) <br> ○ \(t_A\) will be less than \(t_B\) <br> ○ \(t_A\) will be equal to \(t_B\) <br> ○ It's impossible to predict whether \(t_A\) or \(t_B\) will be greater without more information. | **Explanation of Concepts** - **Viscosity**: A measure of a fluid's resistance to flow. A higher viscosity indicates a thicker fluid. - **Pressure (\(P\)) and Flow Rate**: In the first experiment, higher viscosity requires greater pressure to maintain the same flow rate. - **Pouring Time (\(t\))**: In the second experiment, higher viscosity results in a longer time to pour the same volume through a funnel.
Expert Solution
Step 1

Given:

Liquid A has higher values of viscosity than the liquid B

Viscosity is a measure of a fluid's resistance to flow. It describes the internal friction of a moving fluid. A fluid with large viscosity resists motion because its molecular makeup gives it a lot of internal friction. A fluid with low viscosity flows easily because its molecular makeup results in very little friction when it is in motion.

The viscosity of liquid A is greater than the viscosity of liquid B, therefore, the pressure of liquid A is also more than the pressure of liquid B because more pressure is needed for a steady flow in liquid A.

Therefore, pA will be greater than pB, which is the predicted outcome.  

option (a) is correct.

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