CHEMICAL EQUILIBRIUM PROBLEMS WITH UNBOUNDED CONSTRAINT SETS

Abstract

An investigation of the use of mathematical models to explore the chemical aspects of physiological systems; this deals with the theoretical and computational aspects of understanding the chemistry of human physiological function. The question of existence of solutions to problems having unbounded constraint sets is investigated by relating their existence (or nonexistence) to a property of a solution to an auxiliary chemical equilibrium problem with a bounded constraint set. An example system is selected consisting of gases in contact with an aqueous buffer solution at a uniform total hydrostatic pressure and temperature. The numerical problem of determining the amount of CO2 to be added to achieve a specified partial pressure of CO2 in the gas phase, and its effects on the composition of the total system, is solved by using a procedure suggested by the concept of unbounded constraint sets. Findings may apply to design of artificial life-support systems needed in extraterrestrial environments related to Air Force missions.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0702789

Entities

People

  • James C. Dehaven
  • James H. Bigelow
  • Norman Z. Shapiro

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Buffers (Chemistry)
  • Chemical Equilibrium
  • Chemical Reactions
  • Chemistry
  • Computer Programming
  • Energy
  • Environment
  • Free Energy
  • Geometric Programming
  • Hydrostatic Pressure
  • Mathematical Models
  • Partial Pressure
  • Phase
  • Propulsion Systems
  • Steady State
  • United States

Readers

  • Fluid Dynamics.
  • Systems Analysis and Design