What Is The Fraction Equivalent Of 3 Half-lives?

by | Last updated on January 24, 2024

, , , ,
half-lives exponent fraction two 1/2

2

1/4
three

1/2

3



1/8
four 1/2

4

1/16
five 1/2

5

1/32

What is the fraction of 3 half lives?

Three half lives corresponds to

(12)3

. So a 18 quantity of the original isotope is retained.

What fraction of a sample is left after 3 half lives?

After three half-lives

1/8

(12.5%) of the original sample remains. A half-life is the amount of time it takes for one half of a sample to undergo…

How many years is three half lives?

Isotope Half-life Uranium-238 4.47 billion years Potassium-40 1.28 billion years Carbon-14 5,700 years Hydrogen-3 12.3 years

How do you find the three half lifes?

One quick way to do this would be to figure out how many half-lives we have in the time given.

6 days/2 days

= 3 half lives 100/2 = 50 (1 half life) 50/2 = 25 (2 half lives) 25/2 = 12.5 (3 half lives) So 12.5g of the isotope would remain after 6 days.

Which definition describes a half-life?


the time required for one half the atoms of a given amount of a radioactive substance to disintegrate

. Also called biological half-life . … the time required for the activity of a substance taken into the body to lose one half its initial effectiveness.

What fraction remains after 4 half-lives?

Number of Half-Lives Passed Fraction Remaining Percentage Remaining 2 1/4 25 3 1/8 12.5 4 1/16 6.25 5

1/32

3.125

How much of a sample remains after three half lives have occurred quizlet?

After one half life, 50% of the radioactive element remains undecayed. After two half-lives, 25% remains undecayed. After three half-lives,

12.5%

remains undecayed. After four half-lives, 6.25% remains undecayed.

What fraction of initial carbon 14 remains after 3 half lives have passed?


3.125 grams

of Carbon-14 will remain after three half-lives.

What of U 238 will remain after three half lives?

Explanation: The mass of Uranium halves every 4.5 billion years, so

13.5 billion years

= 3 half-lives.

How do you calculate the number of half lives?

The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value. The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction:

t

1 / 2

= 0.693/k

.

What is the half-life of uranium 238 *?

The half-life of uranium-238 is

about 4.5 billion years

, uranium-235 about 700 million years, and uranium-234 about 25 thousand years.

How do you calculate half lifes?

The time taken for half of the original population of radioactive atoms to decay is called the half-life. This relationship between half-life, the time period, t

1 / 2

, and the decay constant λ is given by t12=

0.693λ t

1 2 = 0.693 λ .

How do you calculate the half-life of a reaction?

  1. For a zero-order reaction, the mathematical expression that can be employed to determine the half-life is: t

    1 / 2

    = [R]

    0

    /2k.
  2. For a first-order reaction, the half-life is given by: t

    1 / 2

    = 0.693/k.
  3. For a second-order reaction, the formula for the half-life of the reaction is: 1/k[R]

    0

What occurs during half-life?

What occurs during one half-life?

Half of a daughter isotope undergoes to form a parent isotope

. Half of a parent isotope undergoes radioactive decay to form a daughter isotope. … All of a parent isotope undergoes radioactive decay to form a daughter isotope.

What fraction of reactant remains after 10 half-lives?

Thus a first-order chemical reaction is 97% complete after 5 half-lives and

100%

complete after 10 half-lives.

What is the half-life of this isotope?

The half-life of a radioactive isotope is

the amount of time it takes for one-half of the radioactive isotope to decay

. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope. Consider the following example.

How much of a radioactive parent isotope will remain after 3 half-lives have passed?

Only

12.5 percent

of the original sample of a radioactive parent isotope will remain after three half-lives have passed.

What is 6.25 as a fraction?

Answer: 6.25 as a fraction would be written as

625/100

.

How much of a radioactive parent isotope will remain after 3 half-lives have passed quizlet?

After three half-lives,

one-ninth

of an original radioactive parent isotope remains, and eight-ninths has decayed into the daughter isotope.

What is the length of three half-lives of RB 87?

Parent Isotope Stable Daughter Product Currently Accepted Half-Life Values Thorium-232 Lead-208 14.0 billion years Rubidium-87 Strontium-87

48.8 billion years
Potassium-40 Argon-40 1.25 billion years Samarium-147 Neodymium-143 106 billion years

How many half lives does carbon 14 have?

General Neutrons 8 Nuclide data Natural abundance 1 part per trillion Half-life

5,730 ± 40 years

What's the half-life of carbon 14?

Carbon-14 has a half-life of

5,730 ± 40 years

—i.e., half the amount of the radioisotope present at any given time will undergo spontaneous disintegration during the succeeding 5,730 years.

How many half lives have passed if 6.25% of the material remains?

2 Answers. It will take

4 half lives

.

What is the half-life of potassium 40?

The half-life of potassium-40 that decays through beta emission is

1.28 × 10

9

years

, however the half-life of potassium-40 that decays through positron emission is 1.19 × 10

10

years.

How long is two half lives?

So the answer is two half-lives, or

48,000 years

. To have the original 500 grams come down to 62.5 grams will take three half-lives, or 72,000 years.

What is the half-life of cobalt 60?

The time required for a radioactive substance to lose 50 percent of its radioactivity by decay is known as the half-life. The half-life of cobalt-60 is

about 5.3 years

. How are people exposed to cobalt-60?

What is the half-life of bismuth 210?

Of naturally occurring radioisotopes, the most stable is radiogenic

210

Bi with a half-life of

5.012 days

.

How do you calculate half-life in pharmacokinetics?

Half-life (t1⁄2) is the time required to reduce the concentration of a drug by half. The formula for half-life is

(t1⁄2 = 0.693 × Vd /CL) Volume of distribution (Vd) and clearance (CL)

are required to calculate this variable.

What is a half-life in chemistry?

half-life, in radioactivity,

the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay

(change spontaneously into other nuclear species by emitting particles and energy), or, equivalently, the time interval required for the number of disintegrations per second of a radioactive …

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