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Equation 1 · Part 7 · Lowering the Barrier: What a Catalyst Actually Does

superscript

ΔG∘=−RTln⁡K,\Delta G^{\circ} = -RT\ln K,
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What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

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

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

Open the illustrated exponents: repeated multiplication and powers guide →

The article lists its research sources here.