Page 198 - Thermodynamics of Biochemical Reactions
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198     Mathernatica Solutions to Problems











                ca1cdGmat::usage =
                   "calcdQnat [speciesmat-] produces the function of pH and ionic strength  (is) that
                    gives the standard transformed Gibbs energy of formation of a reactant  (sum
                    of species) at  298.15 K.  The input speciesmat is a matrix that gives the
                     standard Gibbs energy of formation, the standard enthalpy of formation, the
                     electric charge, and the number of hydrogen atoms in each species. There
                    is a row in the matrix for each species of the reactant. gpfnsp is a list
                    of the functions for the species.  Energies are expressed in kJ mo1*-1.";
                calcdG3I::usage  =  "calcdG3I[reactantname-] produces the standard transformed Gibbs
                     energies of formation at  298 K,  pH 7,  and ionic strengths of 0,  0.10,  and 0.25
                    M.  The reactant name calls a function of pH and ionic strength or a constant.";
                calcdG5pH::usage    11calcG5pH[reactantname-]  produces the standard transformed
                    Gibbs energies of formation at  298 K,  ionic strength 0.25  M and pHs  5,  6,
                     7,  8,  and 9.  The reactant name calls a function of pH and ionic strength.";
                ca1cdHmat::usage  =  "calcdHmat[speciesmat-] produces the function of pH and ionic
                     strength that gives the standard transformed enthalpy of formation of a reactant  (
                     sum of species) at 298.15  K.  The input is a matrix that gives the standard
                     Gibbs energy of formation,the standard enthalpy of formation, the electric
                     charge,and the number of hydrogen atoms in the species in the reactant.  There
                     is a row in the matrix for each species of the reactant.  dhfnsp is a list
                     of the functions for the species.  Energies are expressed in kJ m01"-1.";
                calcdH3I::usage =  m1calcdH31[reactanth-] produces the standard transformed
                     enthalpies of formation at  298 K,pH 7,and ionic strengths of O,O.lO,and  0.25  M.
                     The reactanth name calls a function of pH  and ionic strength or a constant.";
                calcdH5pH::usage  =  lmcalcdHpH[reactanth-] produces the standard transformed enthalpies
                     of formation at 298 K,  ionic strength 0.25  M and pHs 5,  6, 7,  8,  and 9.  The
                     reactanth name with hf calls a function of pH and ionic strength or a constant.";
                ca1ctrGerx::usage =  E1calctrGerx[eg_,pHlist-,islist-] produces the standard
                     transformed Gibbs energy of reaction in kJ mol"-l at  specified pHs
                     and ionic strengths for a biochemical equation typed in the form atp+
                     h2o+de==adp+pi.  The names of the reactants call the corresponding
                     functions of pH and ionic strength. pHlist and islist can be lists.";
                 ca1ckprime::usage  =  "calckprime[e~,pHlist-,islist-]  produces the apparent equilibrium
                     constant K'  at  specified pHs and ionic strengths for a biochemical equation typed
                     in the form atp+h2o+de==adp+pi. The names of the reactants call the corresponding
                     functions of pH and ionic strength. pHlist and islist can be lists.";
                 ca1cpK::usage =  "CalCpK[SpeCieSmat_,no-,is-]  calculates pKs of weak acids.";
                 calcdGHT::usage= "calcdGHT[speciesmat-] calculates the
                     effect of temperature on transformed thermodynamic properties.";
                 calcGef1sp::usage   "ca~cGeflsp[equat-,pH_rionstr-,z1-,nHl-]
                     calculates the standard Gibbs energy of formation of
                     the species of a reactant made up of a single species.";
                 calcGef2sp::usage =  1'calcGef2sp[equat~,pH_,ionstr_,zl~,nHl~,pKO~]
                     calculates the standard Gibbs energies of formation of
                     the two species of a reactant made up of a two species.";
                 calcGef3sp::usage  =  "ca~cGef3sp[eguat~,pH~,ionstr~,z1~,nHl~,pKlO~,
                     pK201  calculates the standard Gibbs energies of formation of
                     the three species of a reactant made up of a three species.";
                 ca1cNHrx::usage =  llcalcNHrx[eq-,pHlist-,islist-] calculates the change
                     in binding of hydrogen ions in a biochemical reaction.";
                 rxthermotab::usage  =  iirxthermotab[eq-,pHlist-,islist-] calculates a table of
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