Answer:
193.4 J/K
Explanation:
For a closed system, the entropy is given as the natural logarithm of microstates.
The number of particles ( grains of sand ) N = 28
The number of boxes ( compartments ) M = 1000
Entropy is the logarithm of number of microstates
[tex]S=ln \psi[/tex]
But the number of microstates is given by
[tex]\psi=M^{N} hence S=ln M^{N}=\ln (1000^{28})= \boxed{193.4 J/K}[/tex]
The entropy of a closed system is 193.4 J/K
Since there is 28 distinguishable grains of sand are distributed among 1000 distinguishable equal-sized compartments
Now here
For a closed system, the entropy should be provided the natural logarithm of microstates.
So,
The number of particles ( grains of sand ) N = 28
And, The number of boxes ( compartments ) M = 1000
Now the number of microstates is
= ln(1000)^28
= 193.4 J/K
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