If the entropy of a collection of molecules in 5000 boxes is 1.76 × 10-20 J/K, how many ...

The relation between entropy and thermodynamic probability can be given as follows: S:K1uW ..... (1) Here 5 is entropy of molecules. K is Boltzmann constant. and w is thermodynamic pi-obabihty. Substitute s by l.7oxlo’m J/K and K by issue“ J/K in equation (1) as follows: (1.7t5xlo’m J/K) :(l.38xlo’13 J/K)x1nw lnw :1275.36 lnw can be written as follows: lnw :ln(x“) ..... (2) Here X is number of arrangements and N is number of molecules. Substitute X by 5000 in equation (2) as follows: 1n(5000“) : 1275.36 N1n(5000) : 1275.36‘ N : 149.73 :150 Therefore, file number of molecules presen! box calculmed using the given data are 150 .