Respuesta :

The half-life of a radioisotope describes the amount of time it takes for said isotope to decay to one-half the original amount present in the sample.

Nitrogen-13, because it has a half-life of ten minutes, will experience two half-lives over the course of the twenty minute period. This means that 25% of the isotope will remain after this.

0.25 x 128mg = 32mg

32mg of Nitrogen-13 will remain after 20 minutes.

The amount of nitrogen-13 sample that remained after 20 minutes has been 32mg.

Half-life can be described as the time required by the substance to reduce half of its initial concentration.

The half-life of Nitrogen-13 has been 10 minutes. In 10 minutes, the sample will be reduced to half of its concentration,

The total time has been 20 minutes.

The number of half-life experienced by the sample has:

Number of half-life = [tex]\rm \dfrac{Total-time}{Half-life}[/tex]

Number of half life cycles = [tex]\rm \dfrac{20}{10}[/tex]

The number of half-life cycles = 2

The sample has been reduced to 50% in the first half-life cycle and reduced to 25% by the end of 2nd half-life cycle.

The sample remained = 25% of the initial concentration.

The sample remained =  [tex]\rm \dfrac{25}{100}\;\times\;128 mg[/tex]

The sample remained = 32 mg

The amount of nitrogen-13 sample that remained after 20 minutes has been 32mg.

For more information about the half-life, refer to the link:

https://brainly.com/question/24710827