Answered: A vertical U-shaped tube is filled with…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A vertical U-shaped tube is filled with a liquid of density ρ and the right end of the tube is sealed with a stopper, as shown in the left figure. Some of the liquid is removed from the left column with a syringe and the left column descends a distance d, while the right column remains as it was. Refer to the right figure.

Three students are debating:

Student A: The pressure at level C must now be greater than the atmospheric pressure because liquid there is being pushed up against the stopper.

Student B: I think the pressure at level B must be the same as at level A, because they are at the same level. Both are at atmospheric pressure. So the pressure at level C must be lower than atmospheric, because pressure decreases as you ascend.

Student C: But the liquid is denser than air, so the pressure at C cannot be less than atmospheric pressure.

With which student(s) should you agree?

The image depicts two connected U-shaped tubes filled with liquid. Both sections are capped at the top. In the setup, the left tube has a consistent liquid level, while the right side shows a difference in the liquid level, marked by three labels:

- **Point A**: Indicates the lower level of the liquid on the right tube.
- **Point B**: Indicates the higher level of the liquid on the right tube.
- **Point C**: Denotes the top of the tube on the right side.
- **d**: Represents the vertical distance between the liquid levels at points A and B.

This setup can be used to demonstrate principles such as hydrostatic pressure, Pascal's Law, or capillary action, depending on the context provided in related educational materials.

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Calculate the pressure difference, in pascals, between levels C and A, ΔP = PC - PA, for ρ = 0.93×103 kg/m3 and d = 2 cm

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