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If a sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams, what is the half-life of the isotope? Hint: First, determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.

Respuesta :

Trancescient

Answer:

30 seconds

Explanation:

A = A02^-(t/hl)

--> ln(A/A0) = -(t/hl)ln2

solving for hl,

hl = -t x ln2 /ln(A/A0)

= -(60 min)xln2/ln(50/200)

= 0.5 min or 30 seconds

okpalawalter8

The amount of half-life cycles that have occurred is mathematically given as

HL=30sec

What is the amount of half-life cycles that have occurred?

Question Parameter(s):

If a sample of radioactive isotopes takes 60 minutes

to decay from 200 grams to 50 grams

Generally, the equation for the half-life cycle   is mathematically given as

A = A02^-(t/hl)

Therefore

HL = -t * ln2 / ln(A/A0)

HL= -(60 min)xln2/ln(50/200)

HL=30

In conclusion, the number of half-live

HL=30

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