Geochemical Box Models - please use same terminology found in questions Consider an element X exchanging between two geochemical reservoirs A and B. Let MA and MB be the masses of X in reservoirs A and B, respectively; let tA and tB be the residence times of X in reservoirs A and B, respectively. Further let M = MA + MB be the total mass of X in the two reservoirs combined. i) Show that at steady state, MA = M/ (1 + {tB/tA}).
Geochemical Box Models - please use same terminology found in questions Consider an element X exchanging between two geochemical reservoirs A and B. Let MA and MB be the masses of X in reservoirs A and B, respectively; let tA and tB be the residence times of X in reservoirs A and B, respectively. Further let M = MA + MB be the total mass of X in the two reservoirs combined. i) Show that at steady state, MA = M/ (1 + {tB/tA}).
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Geochemical Box Models - please use same terminology found in questions
Consider an element X exchanging between two geochemical reservoirs A and B. Let MA and MB be the masses of X in reservoirs A and B, respectively; let tA and tB be the residence times of X in reservoirs A and B, respectively. Further let M = MA + MB be the total mass of X in the two reservoirs combined.
i) Show that at steady state, MA = M/ (1 + {tB/tA}).
Expert Solution
Step 1
Given:
The reservoirs containing element X are A and B are represented as box models with the mass flux of X from A to B and B to A as:
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