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Equation 1 · Part 3 · Lowering the Barrier: What a Catalyst Actually Does

Symbol T

ΔG∘=−RTln⁡K,\Delta G^{\circ} = -RT\ln K,
TT

What this part means

T is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

T is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

The reason is a bookkeeping identity rather than an empirical observation. The equilibrium constant is fixed by the standard Gibbs energy difference between reactants and products, ΔG∘=−RTln⁡K\Delta G^{\circ} = -RT\ln K. and that difference is a property of the two end states alone. A catalyst is present in the initial state and present again, unaltered, in the final state. It therefore cancels out of the difference. Any device that genuinely shifted an equilibrium while returning to its original condition would be a perpetual motion machine of the second kind, and could be operated in a loop to extract work from a single heat bath.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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