Recognizing that R/M is also known as the specific

gas constant, [R.sub.s], then the ideal gas law can simply be expressed as P = [[rho].sub.0][R.sub.s]T.

where [D.sub.K] is the Knudsen diffusion constant, M is the molar mass, R (=8.314 J/mol/K) is the

gas constant, [r.sub.k] is the pore radius in kerogen, T is the absolute temperature in Kelvin, and [P.sub.k] is the gas pressure in kerogen.

With the calculated estimations by (11), (12) for the maximum values of [v.sub.m], it should be remembered that by modulus 1 mol, for example, for copper, according to the laws of molecular physics, is numerically 63.55 x [10.sup.-3] kg [10] (remember that the dimension of the mole enters the universal

gas constant R).

Table 1: SOFC Parameters Name Value Faraday's constant (F) 96484600 [C/kmol] Hydrosen valve constant 4.22 x [10.sup.-5] [kmol/(s atm)] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [K.sub.r] constant 2.2802 x [10.sup.-7] [kmol/(s A)] [N.sub.0]/4F No of cells in series 88 ([N.sub.0]) FC Internal Resistance (R) 0.00303 [[ohm]] FC absolute temperature (t) 343 [K] Universal

gas constant (R) 8314.47 [J/(kmol K)] Oxygen valve constant 2.11 x [10.sup.-5] [kmol/(s atm)] ([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]) Water valve constant 7.716 x [10.sup.-6] [kmol/(s atm)] ([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII])

where [k.sub.1] is a constant, t is the time, T is the temperature, R is the

gas constant, and Q is the activation energy for grain growth.

LC: Low-pressure compressor HC: High-pressure compressor C: Combustor HT: High-pressure turbine LT: Low-pressure turbine PT: Power turbine n: Rotor speed G: Mass flow J: Inertia of rotor [beta]: Pressure ratio [eta]: Efficiency [C.sub.p]: Specific heat [kJ/(kg-K)] e: Expansion ratio T: Temperature [K] k: Adiabatic coefficient N: Output power [kw] L: Load power [kw] p: Pressure [kPa] R:

Gas constant h: Specific enthalpy [kJ/kg].

where [beta], T, E, and R are the heating rate, peak temperature, activation energy, and

gas constant, respectively.

In the formula, P is the standard gas pressure, Vis the standard gas volume; nis the amount of standard gas material, R is the standard

gas constant, in which R value of the air is 287J/(kg x K).

[Q.sub.D] (mg/g) is the theoretical saturation capacity and e is the Polanyi potential, which is equal to [epsilon] = -RT ln(1 + 1 /[C.sub.e]) where R (R = 8.314 J/mol/K) is the

gas constant and T (K) is the absolute temperature.

where A is the cross section of the flow duct, [kappa] is the isentropic coefficient, and R is the

gas constant.