Question

1- If the entropy, S, of a certain macrostate is found to be (8.00x10^-23) J/K, how many microstates (ways, W) are possible for this macrostate?

Answer 1

the Ort • Entropy is level of randomness disonder of also be thought of of energy dispensal of the molecules system. It could as a measure the system the kinetic energy at a measures * Microstates are number of different possible arrangements of moleceelar position and particular thermodynamic state. * Entropy the degree to which the probability of the system is spread out different microstates. The relation ship between entropy and microstates (w) is expressed by Boltzmann equation over S= klow

Here, k = Boltzmann constant 1.38 x 153%/ We number of microstates Given, entropy (3) = 8.00x 165/K substitute these valves into the equation, -23 s-kinn a low= 8.00 x 10°3)** 1.38 x 10°3/x low 8.00 x 109/ 1.38x15 235/4 7 dow = 5.79 5.79 » We => WF 327.01 ~ 327 of possible microstates W The numbere is 327.