Aradioisotope is placed near a radiation detector, which registers 64 counts per second. eight hours later, the detector registers 8 counts per second. what is the half-life of the radioactive isotope?

Answer : The half life of the radioisotope is 2.7 hours.

Explanation :

Radioactive disintegration is a first order reaction. The disintegration equation can be written as,

Here N is the amount of radioactive substance left = 8 counts

No is the initial amount of Radioactive substance = 64 counts

t is the time = 8 hours

λ is the disintegration constant

Let us rearrange the equation to solve for λ

Take natural logarithm "ln" on both sides

Divide both sides by t

Let us plug in the given values.

The disintegration constant, λ is 0.26.

λ and half life ( t1/2) are related to each other by following equation.

Let us plug in the value of λ

The half life of the radioisotope is 2.7 hours.

plants need sunlight, water, and carbon dioxide to make food. plants use the raw materials of water, nutrients they absorb from soil, and carbon dioxide to make sugars the plant can use. energy from the sun and chlorophyll are also needed.

a is the correct answer