Assumptions: 1. The gas molecules from Caesar\'s last breath are now evenly dispersed in the atmosphere. 2. The atmosphere is 50 km thick, has an average temperature of 15 °C, and an average pressure of 0.20 atm. 3. The radius of the Earth is about 6400 km. 4. The volume of a single human breath is roughly 500 mL.
Calculate the total volume of the atmosphere.

Question

Assumptions: 1. The gas molecules from Caesar\'s last breath are now evenly dispersed in the atmosphere. 2. The atmosphere is 50 km thick, has an average temperature of 15 °C, and an average pressure of 0.20 atm. 3. The radius of the Earth is about 6400 km. 4. The volume of a single human breath is roughly 500 mL.
Calculate the total volume of the atmosphere.

cuanchi · Answer

This problem is missing something or is a mathematical question and no chemistry.
If you want to calculate the volume of the atmosphere with this information , you have the consider two concentric spheres. One with the radius  of the earth and the other with the radius of the earth plus 50km. Calculate the volume of both spheres and then calculate the difference between them. That will be the volume of the atmosphere. I dont understand the pressure and volume of the breath and the temperature information

anonymous · Answer

For a hint, i was given the volume of a sphere equation, should i use that?

cuanchi · Answer

sure!!

anonymous · Answer

do i use the radius of the earth?

cuanchi · Answer

yes you have two spheres to calculate, one with the radius of the earth and other with a radius 50km bigger. Then subtract the smaller from the bigger and that is the volume of the atmosphere