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
-
Energy = 4VT
is released.
-
Energy = 3VT
is absorbed
-
Energy = 3 VT
is released
-
Energy is neither absorbed nor released.
C.
Energy = 3 VT is released
If the surface area changes, it will change the surface energy also.
When the surface area decreases, it means energy is released ad vice-versa.
Change in surface energy is ... (i)
Let, there be n number of drops initially.
So, ... (ii)
Volume is constant.
So, ... (iii)
From equations (ii) and (iii), we have
Since, R > r, A is negative.
That is, the surface area is decreased.
Hence, energy must be released.
Energy released =
In the above expression, (-)ve sign shows that amount of energy is released.