Question

An oxygen molecule is adsorbed onto a small patch of the surface of a catalyst. It's known that the molecule is adsorbed on 1 of 36 possible sites for adsorption. Calculate the entropy of this system.

Answer 1

the entropy of this system is 4.9452 × 10⁻²³ J/K

Step-by-step explanation:

Given the data in the question;

we take a look at the Boltzmann formula for entropy;

s = k × In( W )

k is the Boltzmann's constant ( 1.38 × 10⁻²³ m² kg s⁻² K⁻¹ )

W is the number of energetically equivalent possible microstates or system configurations ( 36 )

so we substitute

s = 1.38 × 10⁻²³ × In( 36 )

s = 1.38 × 10⁻²³ × 3.5835

s = 4.9452 × 10⁻²³ J/K

Therefore, the entropy of this system is 4.9452 × 10⁻²³ J/K