If you have 10,000 grams of a substance that decays with a half-life of 14 days, then how much will you have after 42 days?

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Answers 3

Answer:

1250

Explanation:

Used a half life calculator, put in the given variables, and the answer was the remaining quantity. Got it right on the test as well

The answer is 1250 grams of substance will be left after 42 days.

What is Half Life ?Half-life time is the time needed for the reactants to be in its half concentration.

It is known that the decay of a radioactive isotope obeys first order kinetics.

Also, it is clear that in first order decay the half-life time is independent of the initial concentration.

If reactant has initial concentration [A₀],

after half-life time its concentration will be ([A₀]/2).

The half-life time of the substance = 14 days.

42 days means 3 half life

After 1 half life the substance left is

= 10000/2

= 5000 grams

After second Half Life

=5000/2

=2500 grams

After Third Half Life

=2500/2

=1250 grams

Therefore 1250 grams of substance will be left after 42 days.

AI generated Answer

3,125 grams The half-life of a substance is the amount of time it takes for half of its mass to decay. After 14 days, half of 10,000 grams would have decayed leaving 5,000 grams. After another 14 days, half of that remaining mass (2,500 grams) would have decayed, leaving 2,500 grams after 28 days. After one more period of 14 days, half of that remaining 2,500 grams (1,250 grams) will have decayed, leaving 1,250 grams after 42 days.
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