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Surface energy is considered one the most difficult concept.
8 Questions around this concept.
A certain number of spherical drops of a liquid of radius 'r' coalesce to form a single drop of radius 'R' and volume 'V'. If 'T' is the surface tension of the liquid, then:
The work done to break up a drop of a liquid of radius R and surface tension into eight drops, all of the same size, is
Two water droplets coalesce to form a large drop. In this process,
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The molecules on the liquid surface experience net downward force. And because of this force, these molecules tend to move downwards. So to fill the space we need to bring a molecule from the interior of the liquid to the free surface. And to do this some work is required to be done against the intermolecular force of attraction. This work will be stored as the potential energy of the molecule on the surface.
And this stored potential energy of surface molecules per unit area of the surface is called surface energy.
Surface energy is also defined as the amount of work done in increasing the area of the surface film through unity.
I.e
or
Where
and
And work done in increasing the surface area is given by
where
and
So we rewrite equation (2) as
So we can also define surface tension as the amount of work done in increasing the area of the liquid surface by unity against the force of surface tension.
Or we can say that the surface tension of a liquid is numerically equal to its surface energy.
As
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