Answer:
The current amount of the Potassium-40 sample is approximately 37.521 grams.
Explanation:
The amount of the sample of the radioactive isotope decays exponentially in time, the amount of mass of the sample as a function of time (
), in grams, is described below:
(1)
Where:
- Initial mass, in grams.
- Time, in years.
- Time constant, in years.
The time constant can be found from half life (
), in years, described in statement:
(2)
If we know that
,
and
, then the current amount of the sample is:
![\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}](https://tex.z-dn.net/?f=%5Ctau%20%3D%20%5Cfrac%7B1.3%5Ctimes%2010%5E%7B9%7D%5C%2Cyr%7D%7B%5Cln%202%7D)
![\tau \approx 1.876\times 10^{9}\,yr](https://tex.z-dn.net/?f=%5Ctau%20%5Capprox%201.876%5Ctimes%2010%5E%7B9%7D%5C%2Cyr)
![m = (300\,g)\cdot e^{-\frac{3.9\times 10^{9}\,yr}{1.876\times 10^{9}\,yr} }](https://tex.z-dn.net/?f=m%20%3D%20%28300%5C%2Cg%29%5Ccdot%20e%5E%7B-%5Cfrac%7B3.9%5Ctimes%2010%5E%7B9%7D%5C%2Cyr%7D%7B1.876%5Ctimes%2010%5E%7B9%7D%5C%2Cyr%7D%20%7D)
![m\approx 37.521\,g](https://tex.z-dn.net/?f=m%5Capprox%20%2037.521%5C%2Cg)
The current amount of the Potassium-40 sample is approximately 37.521 grams.
Usually, the main cause of climate change is the " greenhouse effect" which warm the earth's surface as a result of atmospheric pollution by gases, the particular greenhouse gasses such as carbon dioxide, water vapor, methane, ozone , and chlorofluorocarbon that heat from earth's surface is absorbed by atmospheric greenhouse gases that produces this difference between the definite surface temperature and the effective temperature is due to the atmosphere. the increased amount of gasses that absorbed heat is advance to had more heat being retained in the atmosphere and can increase the global average surface temperature,not only greenhouse effect that cause climate change the human aspects can also change earth's climate, human activities such as burning fossil fuels and deforestation, and it can be one causing global warming.
Answer:
I think it's because of a war they fought and they never won so they never got their independence :3
Explanation:
:3
Bullfighting was brought to Mexico by the Spanish.
Answer:
A
Explanation:
Mountain goats live in the mountains. And highlands are kind of like mountains. ✌️