What is the half life for the decay?

What is the half life for the decay?

You can see from the graph that the mass has decreased by half after 7 minutes. That’s the half-life.

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What is the rate constant for the decay?

Decay rate constant k = [ln(2) / half-life] = [ln(2) / 7]

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What fraction of the original sample remains after 12 mins?

N(t) = N₀ * e^(-kt)

N(t) = amount at time t

N₀ = original amount

k = decay constant

t = time

N(12) = 1.0 * e*[(-ln(2) * 12) / 7]

≈ 0.30 ………….. to 2 significant figures

As a fraction, 3/10 of the original amount remains after 12 minutes

(which matches the graph)

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What is the product of the decay process?

(88/42) Mo ⟶ (88/41) Nb + (0/1) e + (0/0) v_e

The (0/1) e on the product side is a positron.

The (0/0) v_e on the product side is an electron neutrino.

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