Why does reaction free energy depend on pressure and the equal constant?

[Sarah_Kang_2K]

On Outline 4, one of the bullet points listed says: "Understand why reaction free energy depends on pressure and the equilibrium constant".
If someone could please clarify what this means, or direct me to the relevant section in the textbook (6th ed.) that talks about this, that would be much appreciated!

[Athena L 1B]

In the equation G= -RTlnK, the free energy clearly depends on K, but I'm not as sure about the pressure part. Temperature and pressure are proportional to each other by PV=nRT, so maybe that's the connection you're supposed to make?

[Matthew Mar 1J]

There's also the equation G=H-TS which says free energy relies on enthalphy, entropy, and temperature. Since we know enthalphy refers to the heat of a system under constant pressure, that could be the pressure connection?

[Henry_Phan_4L]

Could the reaction happen faster at a higher temperature?