Upwelling rates in the ocean involving carbon and nitrogen

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SUMMARY

The discussion focuses on calculating the upwelling rates of nitrogen and carbon in the ocean, specifically addressing three questions related to the average depth, surface area, and upwelling rate of deep water. The calculations indicate that it would take approximately 950 years to upwell the entire volume of the ocean. The nitrogen flux due to upwelling is calculated to be 5.76x1013 moles N/yr, which translates to 0.16 moles N m-2 yr-1 when divided by the ocean's surface area. Finally, the productivity of the surface ocean sustained by nitrogen upwelling is estimated at 4.5828 gigatons C/yr.

PREREQUISITES
  • Understanding of oceanography concepts, particularly upwelling dynamics.
  • Familiarity with molarity and mole calculations in chemistry.
  • Knowledge of carbon and nitrogen cycles in marine ecosystems.
  • Ability to perform unit conversions and dimensional analysis.
NEXT STEPS
  • Research oceanographic models that simulate upwelling processes.
  • Explore the implications of nitrogen and carbon cycling on marine productivity.
  • Learn about the methods for measuring oceanic nitrogen and carbon fluxes.
  • Investigate the impact of climate change on ocean upwelling rates and nutrient availability.
USEFUL FOR

Marine biologists, oceanographers, environmental scientists, and anyone interested in understanding the dynamics of ocean nutrient cycling and its impact on marine ecosystems.

cgarr017
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This is a 3 part question that i have attempted to answer. I'm pretty sure I'm on the right track but i think i made 1 or 2 small mistakes along the way. the question states:
The average depth of the ocean is 3.8km and the ocean surface area is 360x10^12 m^2. The average upwelling rate of deep water into the surface ocean is 4 m/yr.
a) about how long would it take to upwell the entire volume of the ocean?
b)assume that the average nitrogen content of deep water is 40 micro molarity or 40x10^-6 moles per liter. What is the flux of nitrogen to the surface ocean due to upwelling(express your answer as moles N m^-2 yr^-1)?
c) At a C:N molar ratio of 106:16 what is the productivity of the surface ocean(expressed as moles C m^-2 yr^-1) sustained by nitrogen upwelling. Re-calculate this productivity flux as a global(whole ocean) rate of upwelled N-driven primary productivity, expressed in units of gigatons C/yr.

MY ATTEMPT AT AN ANSWER:
a) 3800m/4m/yr=950 yrs
b) 40 x10^-6 moles per liter;
upwelling rate of 4m/yr=400 cm/yr;
therefore 400cm rises 1cm^2/yr;
360x10^12 m^2 x 3.8km=1.368x10^18 m^3;
3.6x10^18 cm^2 x 400 cm= 1,440x10^18cm^3/yr;
1 liter=1,000 cm^3;
1,440x10^15 L/yr x 40x10^-6 moles/L;
=5.76x10^13 moles N/yr
(i think that's right but it needs to be expressed as moles N m^-2 yr^-1. would i just divide 5.76x10^13 by the surface area of 360x10^12m^2?)
c) 5.76x10^13 moles N/yr at a C:N ratio of 106:16=3.82x10^14 moles C/yr;
3.82e14/360e12m^2= 1.061 moles C/m^2/yr?;
1.061 moles C/m^2/yr= 12.73 g C/m^2/yr;
Gigaton= 1e15 g;
1.273e-14 Gt C/m^2/yr x surface area(360e12m^2)= 4.5828 Gt C/yr

Is this correct?
 
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