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

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.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s