Estimate the number of molecules in the Earth's atmosphere. Insert your answer as \log _{10}log 10 (i.e. if you calculated 1e314, enter 314
Answers
Answer:
5593 is the answer 314
Explanation:
314
Answer:
Usually we take radius of earth as 6,371 km
Explanation:
We know that atmosphere of Earth consists of gaseous layers which surround the Earth and is retained by Earth's gravitational pull.
Dry air contains about 78% nitrogen, 21% oxygen, 0.93% argon, 0.04% of carbon dioxide, and small amounts of other gases, by volume. Air also contains a variable amount of water vapor. We observe that almost 99% of atmosphere consists of diatomic gases. Molar mass of air is taken as 29.0 g⋅mol−1
To estimate the total number of molecules in the atmosphere, we begin with finding the mass of the atmosphere.
Taking the earth as a sphere of given radius 8000 km, its surface area is given as
A=4πr2
A=4π(8000×1000)2 m2
A=8.0425×1014 m2
We know that
1 Atm Pressure = 101,325 Pascals,
Pressure=ForceArea
Force=Pressure×Area
∴ Force due to 1 Atm pressure
F=(101,325)×(8.0425×1014)
⇒F=8.1490×1019 N
Mass of atmosphere M=Fg
where g is acceleration due to gravity and =9.81 ms−2
∴M=8.1490×10199.81=8.3068×1018 kg
We know that 1 most