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Big Bottle RAD H 2 O. Analysis. Simplistically, all the radon in the water is transferred to the closed air loop; Cw * Vw = Ca * Va Cw = Ca * Va / Vw but some radon is left in the water. At equilibrium, the water to air concentration ratios will be
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Analysis • Simplistically, all the radon in the water is transferred to the closed air loop; • Cw * Vw = Ca * Va • Cw = Ca * Va / Vw • but some radon is left in the water. At equilibrium, the water to air concentration ratios will be 𝛂, given by • 𝛂 = 0.105 + 0.405 * exp(-0.0502*T) • where T is the temperature in ℃ (Weigel, 1978). • We can therefore add an air equivalent volume 𝛂Vw to Va.
Cw * Vw = Ca * (Va + 𝛂Vw) • A head space must be left in the bottle to prevent it exploding if the water heats up, so we correct for that: • Cw * (Vw - Vh/𝛂) = Ca * (Va + 𝛂Vw) • or • Cw = Ca * (Va + 𝛂Vw) / (Vw - Vh/𝛂)