Question

For each of the following pairs, choose the substance with the higher entropy per mole at a given temperature.

a) Ar(l) or Ar(g),

b) He(g) at 3 atm pressure or He(g) at 1.5 atm pressure,

c) 1 mol of Ne(g) in 15.0 L or 1 mol of Ne(g) in 1.50 L,

d) CO₂(g) or CO₂(s).

Answer 1

CO₂(g) has a higher entropy per mole compared to CO₂(s) at the same temperature.

Step-by-step explanation:

To determine which substance has a higher entropy, we need to compare the number of available microstates for each substance.CO₂(g) is a gas composed of CO₂ molecules, while CO₂(s) is a solid composed of a regular array of CO₂ molecules.

In the solid state, the molecules are arranged in a fixed pattern, limiting their movements and decreasing the number of available microstates. On the other hand, in the gas state, the molecules have more freedom to move and change positions, leading to a greater number of microstates. Therefore, CO₂(g) has a higher entropy per mole compared to CO₂(s) at the same temperature.