Suppose paleomagnetic data indicate Africa travelled N at 5 cm/yr and collided with a stationary North America. Assume continental crust is 35 km thick. Because continents are buoyant relative to the mantle, neither continent subducts. At steady state, continental crust is moving up to the surface at mountain belts, undergoing weathering and erosion, and the mass is being redistributed away from the mountain-belt, all at equal rates. What is the mass flux? Suppose the pre-collision eroded flux was equal to Earth’s modern sediment flux of 8 km 3 /yr; what is the fractional change in eroded flux (i.e., mass/volume available for weathering)
Question is in text and preconditions to question are attached in images
Suppose paleomagnetic data indicate Africa travelled N at 5 cm/yr and collided
with a stationary North America. Assume continental crust is 35 km thick.
Because continents are buoyant relative to the mantle, neither continent
subducts. At steady state, continental crust is moving up to the surface at
mountain belts, undergoing weathering and erosion, and the mass is being
redistributed away from the mountain-belt, all at equal rates. What is the mass
flux? Suppose the pre-collision eroded flux was equal to Earth’s modern
sediment flux of 8 km 3 /yr; what is the fractional change in eroded flux (i.e.,
mass/volume available for weathering)?
![Q1. Effect of Supercontinent Formation. The purpose of the question is to think through
the role of mountains in climate stability. Mountains are important to the global weathering
budget. This is because mountain uplift increases the amount of material available for
weathering per year (the sediment mass flux). Because the total planet-integrated
weathering must be constant (averaged over >107 yr timescales) in order to avoid a climate
runaway, the increase in material available for weathering must be compensated by a
decrease in the amount of weathering per unit sediment. The easiest way to decrease the
amount of weathering per unit sediment is to lower the planet temperature. (The lowering
of temperature is accommodated by a transient pulse of increased weathering. This
transient increase in weathering lowers the CO₂ concentration, which lowers temperature.
The planet is now less efficient at weathering each sediment parcel, and so the climate re-
equilibrates at a new, lower temperature).
The purpose of this question is to work through the order-of-magnitude effect on planetary
climate of forming new mountain belts.
Earth 280 Ma. Credit: Ron Blakey (NAU).
The most recent global supercontinent, Pangea, was completed ~280 Ma by collision of
North America with Africa. The collision (the Alleghenian orogeny) created a mountain
chain, the Central Pangean Mountains. The Appalachian Mountains approximately
correspond to a remnant of this mountain belt. In this question, use the paleogeographic
reconstruction above (grid spacing 30 degrees) and Earth radius = 6 x 106 m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a0fed4c-ca4b-494f-8f39-2e2a8fd42fc4%2Fe8d067c2-c03a-414f-84e6-ce62aa90caaf%2Frc5wpz_processed.png&w=3840&q=75)
![Assume weathering rate per unit rock (cations/yr/km³) scales as
παρ
-E/RT
where E is activation energy and R is the gas constant, 8.314 J/mol/K, and surface
temperature T is in K. Assume an effective activation energy for weathering ("effective"
including the effect of temperature on rainfall) of E = 74 kJ/mol (West et al., Earth &
Planetary Science Letters, 2005).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a0fed4c-ca4b-494f-8f39-2e2a8fd42fc4%2Fe8d067c2-c03a-414f-84e6-ce62aa90caaf%2Fse9lsae_processed.png&w=3840&q=75)
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