Define surface tension in terms of force and show that the work done per unit area in changing the area of a liquid surface under isothermal conditions is equivalent to the definition of surface tension in terms of force

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter15: Thermodynamics
Section: Chapter Questions
Problem 13PE: A hand—driven tire pump has a piston with a 2.50cm diameter and a maximum stroke of 30.0 cm. (a) How...
icon
Related questions
Question

A)Define surface tension in terms of force and show that the work done per unit area in changing the area of a liquid surface under isothermal conditions is equivalent to the definition of surface tension in terms of force

 

Expert Solution
Step 1

Surface Tension:

Surface tension is the attractive force exerted upon the surface molecules of a liquid by the molecules beneath that tends

to draw the surface molecules into the bulk of the liquid and makes the liquid assume the shape having the least surface area.

Surface tension of liquid defined as the work done per unit area is increasing the surface area of the liquid under isothermal conditions.

Mathematically, Surface tension of liquid (T)= WA

where W is the work done to increase the surface area by A.

Step 2
Let  be an open rectangular frame of wire on which a wire  can slide without friction.
                        
                  
Physics homework question answer, step 2, image 1
 
The frame held in horizontal position is dipped into soap solution and taken out so that a soap film  is formed.Due to surface tension of soap solution,a force  will act on the wire  which tends to pull it towards 
 
Magnitude of force due to surface tension is 
(A factor of  appears because soap film has two surfaces which are in contact with wire.)
 
 
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Thermodynamic Work done
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning