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A question of tritium #201

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@dt-woods

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@dt-woods

A question was raised on the amount of tritium in our models.

NETL-RIC/ElectricityLCI#255

In the ELCI.csv flow mapper, the conversion between 1 kg of tritium (hydrogen-3) to 1 kbq is given as: 359712230215827.3 (3.59x10^14).

A quick back-of-envelope calculation:

Activity (Bq) = λ × N

where λ is the decay constant and N is the number of nuclei.

  1. Decay constant λ:
    λ (s⁻¹) = ln(2) / T½
    = 0.693147 / 12.32 years
    ≈ 5.62 × 10⁻⁵ s⁻¹

  2. Number of nuclei N in 1000 g (or 1 kg, since molar mass is
    approximately 3 g/mol):

Number of moles (n) = mass / molar mass
= 1000 g / 3 g/mol
≈ 333.33 mol

Number of nuclei (N) = n × N_A
= 333.33 mol × 6.022 x 10²³ mol⁻¹
≈ 2.01 x 10²⁶ nuclei

  1. Activity:
    Activity (Bq) = λ × N
    = 5.62 × 10⁻⁵ s⁻¹ × 2.01 x 10²⁶ nuclei
    ≈ 1.13 x 10¹⁴ Bq (113 × 10⁹ kBq)

This is a bit different.

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