Pressure Equation

[Rosselyn_Machado_2B]

For the equation Delta S = nR ln(P1/P2), can someone explain why it wouldn't be formatted like the other ones, Delta S =nR ln (V2/V1)? Thank you?

[alexia11]

This is due to the fact that there is an inverse relationship between pressure and volume. So when (V2/V1) is used in the first equation, if we were to input pressure, we would have to inverse the two terms.

[Averie Moore 2F]

This is because of the second law of thermodynamics and the ideal gas law.

[705994444]

The equation you mentioned, ΔS = nR ln(P1/P2) is derived from the ideal gas law, where P represents pressure and V represents volume. The reason it's formatted differently from ΔS = nR ln(V2/V1) is because it's specifically dealing with changes in entropy (ΔS) in relation to changes in pressure (P), rather than changes in volume (V).