Question

Using the statistical definition of entropy, what is the entropy of a system where W = 4?

A. 1.87 × 10–23 joules/kelvin

B. 1.56 × 10–23 joules/kelvin

C. 1.91 × 10–23 joules/kelvin

D. 2.07 × 10–23 joules/kelvin

Answer 1

Answer: S = 1.91x10^(-23) J/K

Explanation:

The statistical definition of entropy says that:

S = k*Ln(W)

where:

W is the number of macrostates, in this case W = 4.

k is a constant:

k = 1.38x10^(-23) J/K

then the entropy of this system will be:

S = (1.38x10^(-23) J/K)*ln(4) = 1.91x10^(-23) J/K

Then the correct option is C.