Hydration & Sodium Calculator — English Endurance

English Endurance

Hydration & Sodium Calculator

Set an hourly fluid and sodium target from a measured sweat rate. Intake is bounded by what the gut can absorb, and sodium is coupled to the fraction of fluid actually replaced — so the drink concentration follows the plan rather than a fixed rule of thumb.

Body mass70 kg
40 kg110 kg
Session duration4.0 h
0.5 h30 h
Measured sweat rate1.20 L/h
0.3 L/hWeigh in, weigh out
Sweat sodium920 mg/L
10 mmol/LSalty sweater above 60
Gut ceiling1.00 L/h
0.4 L/hWhat you absorb
Planned fluid target90%
50%Of sweat rate
Compute sweat rate from a weigh-in / weigh-out session
Pre-session mass (kg)
Post-session mass (kg)
Fluid drunk during (L)
Urine passed (L)
Session length (h)
Fill all five fields to compute and load a sweat rate.
Under 6 hmatch concentration
6–12 hscale together
Over 12 hfood + kidney
Fluidlitres per hour
Sodiummg per hour
Bottle concentrationmg per litre
Sweat ratelitres per hour
Fluid fractionof sweat replaced
Body-mass lossprojected

StreamFluidSodium
Drink / hourmillilitres
Bottles / hour750 mL each
Sodium / hourmilligrams
Total fluidlitres
Total sodiumgrams
    Key assumptions & parameters
    • What changed from the flat model. The earlier drink = 0.75 × sweat rate conflated the gut ceiling, which is a cap at high sweat rates, with the 70% sodium tipping point, which is where sodium starts to matter — not a ceiling on fluid. This tool targets min(gut ceiling, target × sweat rate), so a deficit appears only when sweat genuinely outruns the gut.
    • Fuller replacement buys fuelling, not watts. On long moderate rides the benefit is plasma volume, thermoregulation, gastric emptying and fuel absorption, and lower post-session rehydration debt. Performance data for full versus partial replacement in moderate conditions are close to null.
    • Sweat rate. SR = (pre − post + drink − urine) ÷ hours. Predicted fallback: running heat (kW) ≈ 0.00116 × mass × speed, cycling heat (kW) ≈ 0.0033 × power, then SR ≈ k × heat with k ≈ 1.0 cool, 1.2 warm, 1.4–1.6 hot. Latent heat of sweat ≈ 2,426 J/g.
    • Sodium loss. mg/h = SR × sweat [Na] × 23. One mmol of sodium is 23 mg; multiply mg of sodium by 2.54 for mg of table salt.
    • Sodium is prescribed as a concentration first. Required drink concentration rises monotonically with the achieved fluid fraction f — 50% of sweat [Na] at f of 0.50 or below, rising to 100% at f = 1.00. Hourly intake is that concentration multiplied by the volume actually drunk. This reproduces the intended replacement fractions (R = 0.50, 0.65, 0.85, 1.00 at f = 0.70, 0.80, 0.90, 1.00) without the non-monotonic artefact a fraction-first formulation produces.
    • At full replacement the bottle equals sweat concentration. That is the Wijering result falling out of the arithmetic rather than being asserted.
    • Below ~70% replacement, plasma sodium rises on its own because sweat is hypotonic. Sodium there is for palatability, thirst drive and retention, not hyponatremia prevention.
    • Why sodium peaks and then falls. Hourly sodium rises with sweat rate only while the gut is not the limiter. Once intake is capped, drinking more is impossible, the replaced fraction falls, plasma sodium starts rising on its own, and the drink needs less sodium per litre. Since volume is fixed, hourly sodium falls too. The peak sits where the gut ceiling first binds. That concerns plasma sodium, not the sodium deficit, which keeps growing — address that with food afterwards.
    • Long-duration dilution. Past 12 h, respiratory loss ≈ 0.0625 L/h carrying zero sodium and conserving renal loss ≈ 0.083 L/h at about 30 mmol/L both pull the average required concentration below sweat [Na], so the tool stops over-prescribing at ultra duration.
    • Sweat sodium is largely unpredictable. Population mean 35–40 mmol/L, range 10–70, salty sweater above 60. Around 80% of between-athlete variance is unexplained, so it cannot be inferred from thirst, sweat rate or hydration status. Correct a forearm patch reading with 0.57 × forearm + 11.05.
    • Flagged estimates, not measured constants. The short-duration damping on sodium (0.65 at 2 h or less, rising to 1.0 by 4 h) is a synthesised judgement, not a published coefficient — its rationale is that dilutional risk is cumulative and Wijering's fall in plasma sodium developed over 3 h of full replacement. Metabolic-heat-to-sweat coefficients are first-principles derivations. The gut ceiling of 1.0–1.2 L/h and the 2% performance threshold are synthesised consensus round numbers. Respiratory and renal defaults come from a worked 24 h budget, not from any individual athlete. Individual variability dwarfs every group mean here.
    Sweat [Na]mg Na / Lmg salt / L
    20 mmol/L4601,170
    30 mmol/L6901,755
    40 mmol/L9202,340
    50 mmol/L1,1502,925
    60 mmol/L1,3803,510
    70 mmol/L1,6104,095
    80 mmol/L1,8404,680
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    Disclaimer. Educational tool for coaching use, not medical advice. Every figure is a starting estimate to be replaced by personal measurement.