This can be understood by assuming a scenario that we have two boxes, in which one box contains a gas and other having atoms arranged in crystalline form (like Cubic lattice).
Now, if we take two equal sized small regions in the first box, then there is a high probability that both the regions have equal number of atoms.
But, if similar scenario is taken into consideration for the second box, then both the boxes could have equal number of atoms iff the separation between the two regions is equal to some integral multiple of atomic spacing.
The above scenario implies that a system with gaseous molecules is more symmetric than that of crystalline arranged system.
Yes sir, the above statement implies that a system with random distribution of atoms/molecules can be considered more symmetric than a system with organized ones. Or we can also say that, the symmetry of a system decreases with decrease in it's temperature.
This can be understood by assuming a scenario that we have two boxes, in which one box contains a gas and other having atoms arranged in crystalline form (like Cubic lattice).
Now, if we take two equal sized small regions in the first box, then there is a high probability that both the regions have equal number of atoms.
But, if similar scenario is taken into consideration for the second box, then both the boxes could have equal number of atoms iff the separation between the two regions is equal to some integral multiple of atomic spacing.
The above scenario implies that a system with gaseous molecules is more symmetric than that of crystalline arranged system.
In other words, are you saying a random system may be more symmetric than an organized system?
What is the difference between symmetry and organised system?
Yes sir, the above statement implies that a system with random distribution of atoms/molecules can be considered more symmetric than a system with organized ones. Or we can also say that, the symmetry of a system decreases with decrease in it's temperature.
is this statement always true?
In my knowledge, yes sir. This statement should always be true.