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What is the ratio of heights to which ethyl alcohol and water are raised by capillary action in the same glass tube?

$\frac{h_{\text {water }}}{h_{\text {ethyl alcohol }}}=2.58$

Physics 101 Mechanics

Chapter 11

Fluid Statics

Fluid Mechanics

Cornell University

Rutgers, The State University of New Jersey

University of Washington

McMaster University

Lectures

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who has to find the ratio of heights to which ethyl alcohol water are raised by capital reaction in the same glass tube. So we have our glass tubes emerged in water and we get capital reaction causes the water that we've drawn up the tube exam without the alcohol, because is it to be drawn up a tube? But the heights will be different, so we have a formula for capital reaction. So the height is two times the surface tension times the coastline of contact angle provided by the denser, the fluid times grab the times, the radius of the tube. We can write that for each of our cases. And so in each case, um, R and G are the same. But the surface tension, the contact angle and eventually a fluid are all different. So we take the ratio of those two things, and we get that Their H one, provided by H two, is the surface tension of the water kinds. The density of the Ethel Hope all times a co sign of the contact angle of water and glass divided by the surface. Tension of ethyl alcohol conned the density of water. Canseco sign of contact angle between out the alcohol in class so we can look all those things up in there in the tables in the book, and we can plug our numbers in now. We don't really have to worry about units because this is gonna be a unit list thing as long as we write the unit for surface tension in the same. In each case, the density the units are the same in the case. And also, well, the angle. We have to make sure we convert to Arabians in the case that is zero. So we get co signer for the contact English one plug in our are other numbers. Put that on a calculator and we get 2.58 So the water is raised 2.58 times height that the ethyl alcohol is raised.

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