Jaeger's method to find the surface tension

Click For Summary
SUMMARY

The discussion centers on Jaeger's method for calculating surface tension using the equation P1-P2=2T/r, where 'r' represents the radius of the capillary tube. Participants highlight the advantages of this method, including the elimination of the need for contact angle measurements and its applicability to liquids like mercury. However, concerns are raised regarding the substitution of 'r' with 'R' (the radius of the meniscus) when the contact angle is zero, particularly in cases where the contact angle for mercury is obtuse. This raises questions about the validity of the claim that contact angle is not needed in the calculation.

PREREQUISITES
  • Understanding of capillary action and surface tension
  • Familiarity with Jaeger's method for measuring surface tension
  • Knowledge of meniscus formation in liquids
  • Basic grasp of pressure differentials in fluid mechanics
NEXT STEPS
  • Study the derivation and applications of Jaeger's method for surface tension
  • Research the impact of contact angle on surface tension measurements
  • Explore the behavior of mercury in capillary tubes and its unique properties
  • Learn about alternative methods for measuring surface tension, such as the Wilhelmy plate method
USEFUL FOR

Students preparing for exams in fluid mechanics, researchers studying surface tension, and professionals in materials science or chemistry focusing on liquid properties.

shalikadm
Messages
63
Reaction score
0
I'm studying for the exam day after tommorow and while reading the practical on jaeger method I found the following...

P1-P2=2T/ r
r is the radius of the capillary tube
.....
advantages of this method..,
•contact angle is not needed
•can find surface tension of liquids like mercury

my concern is as following...
we replace r with R(radius of the meniscus ) of the equation P1-P2=2T/R when the contact angle is zero. So how it can say that the contact angle is not needed. and also while the contact angle of mercury is an abtuse angle how it becomes zero for the equation ?

this is so urgent and quick response is highly appreciated...
thanks in advance !
 
Physics news on Phys.org
shalikadm said:
we replace r with R(radius of the meniscus )
Not sure what is meant by that. How are you defining radius of meniscus that makes it different from the radius of the capillary?
shalikadm said:
how it can say that the contact angle is not needed
I agree. E.g. with a 90° contact angle, the surface tension would not affect the pressures.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 63 ·
3
Replies
63
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K