Question

You have a standard new deck of 52 cards in order. You shuffle it enough so...

You have a standard new deck of 52 cards in order. You shuffle it enough so that
all arrangements are 'equiprobable. How much entropy did you create in J/K? Compare
This quantity with the change of entropy of 1 g of water (HP = 4, 19 J/gK) heated from 300 K to 301 K.

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Answer #1

if we shuffle deck of cards then there are 52! ways of arranging a deck of playing cards so 52! is the number of microstates and entropy is given by

where Omega is the number of microstates and kB is boltzmann constant.

So,solving this we get,

and change in entropy of 1g water at 300K to 301K given by,

=4.19 J/K

so comparing these two quantities,

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