Consider a gaseous mixture containing the three isomers n-pentane (1), iso-pentane (2), and neo-pentane (3). These species may interconvert by reaction. 

a. Determine the number of independent chemical reactions and the number of degrees of freedom for this system. 

b. Calculate the equilibrium concentration of the three isomers at 400 K and 1 bar. 

c. What is the effect of increasing the pressure of the system on the equilibrium concentration of the isomers? 

Data:

The Gibbs energies of formation of these compounds at 400 K are 40.2 kJ/mol, 34.4 kJ/mol, and 37.6 kJ/mol, respectively.