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(a) How high will water rise in a glass capillary tube

Chapter 11, Problem 79

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QUESTION:

Problem 79PE

(a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much gravitational potential energy does the water gain? (c) Discuss possible sources of this energy.

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QUESTION:

Problem 79PE

(a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much gravitational potential energy does the water gain? (c) Discuss possible sources of this energy.

ANSWER:

Solution 79PE

Step 1 of 5

Here we need to calculate how high the water will rise in a glass capillary tube which has radius of  with contact angle . Also, we need to calculate gain in gravitational potential energy of water and need to discuss about the sources of this energy.

Given data,

Radius of tube,

Using                 

             

Acceleration due to gravity,

Density of water,

Surface tension of water,

contact angle,

To find,

  1. Height,
  2. Gain in gravitational potential energy,

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