# Homework 3 - capillary diameter D c This model(Fig 1 will...

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CHE 311 __________________ LAST NAME, FIRST Problem set #3 1-8 Copy the program Momen3.exe from the CHE 311 class distribution folder to your flash or H drive. You can also download the program from the website: . Run the program and choose problem 1-8 in any order. Solve the problems with the data provided by the program, copy the problem statement to Word. The program will check your answer and provide an answer code when you click on “ Check ”. Copy the answer code and paste them after the problem statement. You need to present all your work with a diagram in details to get full credit. Your work should look like this: 1. A narrow capillary tube is dipped into a liquid that wets the tube. We observe that the liquid rises in the tube, above the level of the free surface with a contact angle = 60 o . We want to derive a mathematical model that relates the height of capillary rise h to the surface tension and the inner

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Unformatted text preview: capillary diameter D c . This model (Fig. 1) will suggest another method for measuring the surface tension (Ref. I). Determine the height of capillary rise if the liquid is water with surface tension = 0.072 N/m and capillary diameter D c is 10-3 m. Figure 1. Rise of a liquid in a capillary. Problem 1: Correct, Code =4313336481 Solution If we approximate the meniscus as a part of a sphere surface with diameter D c , then the two principal radii of curvature r 1 and r 2 are equal to each other, and are given by r 1 = r 2 = D c The pressure difference across the meniscus is then p atm – p s = p = Where p s is the pressure at the meniscus in the liquid phase. Since the system is in static equilibrium, the pressure p 1 must equal p atm , for these two pressures occur at points that lie in the same horizontal plane in the same fluid. p s + gh = p 1 = p atm Therefore gh = p atm – p s = p = or h = h = = 0.0145 m = 1.45 cm Box the answer(s)!...
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