By using the statistical definition of entropy, the entropy of a system where W = 4 would be 1.91×10²³ joules/kelvin, therefore the correct option is option C.
What is entropy?
It is a property of any thermodynamic system which determines the order of randomness for the given thermodynamic process. The unit of entropy is joules per Kelvin. The entropy of any spontaneous irreversible process is always positive.
entropy can be calculated by mathematical expression
Entropy = Total change of heat / thermodynamic temperature
The statistical definition of entropy is defined by Boltzmann given by the formula
S= KblnW
where S is the statistical entropy
Kb is the Boltzmann's constant
W is the Volume of space occupied by the thermodynamic system
As given in the problem W= 4
The value of Boltzmann's constant is 1.38×10⁻²³ joules per kelvin.
by using the above formula
S= 1.38×10⁻²³ ln(4)
S = 1.91×10⁻²³ Joules / Kelvin
By using the statistical definition of entropy, the entropy of a system where W = 4 comes out to be 1.91×10²³ joules/kelvin, therefore the correct option is option C.
Learn more about entropy from here the link given below
brainly.com/question/13146879
#SPJ5
