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Equation 3 · Part 2 · AI Datacenter Power and Cooling in 2035: Scenarios, Signals, and Falsifiable Predictions

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COPCarnot≈348/(348−318)=11.6\mathrm{COP}_{\mathrm{Carnot}} \approx 348/(348-318) = 11.6
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

with both temperatures in kelvin. The following is my own illustrative calculation, using representative round numbers rather than any specific project’s measured temperatures, to show how sharply this ratio depends on the lift between the waste-heat source and the district-heating supply it must reach — commonly on the order of 70–80 °C in an established European district-heating network. Lifting a relatively cool waste stream at 30 °C (303 K) to a 75 °C (348 K) supply gives COPCarnot\mathrm{COP}_{\mathrm{Carnot}} = 348/(348-303) ≈\approx 7.7 ; lifting a warmer waste stream at 45 °C (318 K) to the same 75 °C supply gives COPCarnot\mathrm{COP}_{\mathrm{Carnot}} ≈\approx 348/(348-318) = 11.6 . Real ammonia heat…

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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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