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Earth’s TOA Energy Balance with CO2 Forcing (with Doubling Reference)
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Edit blue input cells. Outputs update automatically.
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Solar constant S0 (W/m^2):1361Notes:
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Planetary albedo α (0–1):0.3• Myhre et al. (1998): ΔF = 5.35 ln(C/C0).
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Reference CO2 C0 (ppm):280• Doubling from 280→560 ppm gives ΔF ≈ 3.7 W/m².
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CO2 (ppm):420• With λ_P ≈ 3.3 W/m²/K, ΔT ≈ 1.1 K (Planck only).
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• Feedbacks (water vapor, clouds, ice) amplify further.
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Stefan–Boltzmann constant σ (W m^-2 K^-4):5.67E-08
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Myhre coefficient (W/m^2):5.35
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Planck response λ_P (W/m^2/K):3.30
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Mean incoming S0/4 (W/m^2):340.25
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Absorbed solar (1-α)·S0/4 (W/m^2):238.18
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CO2 radiative forcing ΔF (W/m^2):2.17
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Equilibrium flux F_out (W/m^2):240.34
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Effective emission T_eff (K):255.16
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Effective emission T_eff (°C):-17.99
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Reference: CO2 doubling (C = 2·C0)
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ΔF_doubling = 5.35·ln(2):3.71
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ΔT_doubling = ΔF / λ_P (no feedback):1.12
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