p(z) = p(0) e (z/H) 1) (20 PTS) Using the equation above, show that the total...

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p(z) = p(0) e (z/H) 1) (20 PTS) Using the equation above, show that the total mass m of the species in the atmosphere is given by: m = A H. p(0) where: A surface area of the Earth (Re = 6371 km). 2) Let us apply this result to air molecules: a) (15 PTS) Calculate the air density at sea level, assuming global average values for pressure (1013 hPa) and temperature (15 C). b) (15 PTS) Using the equation derived in Question 1, calculate the mass of the atmosphere. Compare this mass to the value calculated by the alternative method shown in Lecture 2: Psurface . A m = g where: Psurface = 984 mbar g=9.81 ms-2 3. Let us now apply this result to desert aerosol. Let's say the density of dust aerosol in the desert air decreases exponentially with altitude with a scale height of 0.5 km. The mean dust aerosol density in surface air over the desert is 11 g m. a) (10 PTS) Compare the scale height of dust aerosol to the scale height of air molecules (Hair 7.1 km). Can you propose an explanation for the difference? b) (10 PTS) Calculate the total mass (in kg) of dust in the atmosphere; for this calculation, consider that the Earth is 10% desert and that the dust aerosol concentration over the ocean and non-desert land is negligible. p(z) = p(0) e (z/H) 1) (20 PTS) Using the equation above, show that the total mass m of the species in the atmosphere is given by: m = A H. p(0) where: A surface area of the Earth (Re = 6371 km). 2) Let us apply this result to air molecules: a) (15 PTS) Calculate the air density at sea level, assuming global average values for pressure (1013 hPa) and temperature (15 C). b) (15 PTS) Using the equation derived in Question 1, calculate the mass of the atmosphere. Compare this mass to the value calculated by the alternative method shown in Lecture 2: Psurface . A m = g where: Psurface = 984 mbar g=9.81 ms-2 3. Let us now apply this result to desert aerosol. Let's say the density of dust aerosol in the desert air decreases exponentially with altitude with a scale height of 0.5 km. The mean dust aerosol density in surface air over the desert is 11 g m. a) (10 PTS) Compare the scale height of dust aerosol to the scale height of air molecules (Hair 7.1 km). Can you propose an explanation for the difference? b) (10 PTS) Calculate the total mass (in kg) of dust in the atmosphere; for this calculation, consider that the Earth is 10% desert and that the dust aerosol concentration over the ocean and non-desert land is negligible.