Statistical explaination
Let's began from the very basic.
Molecules at different temperatures are allowed to occupy only certain energy levels. At 0 K they are all in their lowest energy state and as the temperature increases, the distribution towards high energy level began to increase but the number of molecules in higher energy levels is always smaller than the number of molecules at lower energy level. Even, at the infinite temperature the number of molecules in higher energy level is not greater than those in the lower energy level but they are equal. The composition is uniform for every energy level.
Now, let me introduce entropy here...
From Boltzmann law we have got S=klnW, where S is the entropy, k is the Boltzmann constant and W is the number of microstates. This is the statistical version of entropy, since W is someway related to probability. Let me define W clearly. W gives the number of microstates possible for a given system. Microstates corresponds to the ways in which the system can be arranged keeping the total energy constant. And for your surprise here lies the basic key of entropy.
To be continued.... :)
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