A $100$cm$2$ SOFC, operating temperature is $800$o C at current of $80$A

Thermodynamic voltage is $1\mathrm{.}0$V$,$

Cathode: the thickness is $400\backslash$mu m$,$ air pressure $3$atm, effective oxygen diffusivity is

$0\mathrm{.}02$ cm$2/$s; exchange current density $0\mathrm{.}15$A$/$cm$2,$ transfer coefficient is $0\mathrm{.}2$;

Anode: the thickness is $100\backslash$mu m$,$ anode total gas pressure is $3$ atm with hydrogen

molar fraction of $0\mathrm{.}30,$ effective hydrogen diffusivity is $0\mathrm{.}1$ cm$2/$s; exchange current

density $0\mathrm{.}75$A$/$cm$2,$ transfer coefficient is $0\mathrm{.}3$;

Electrolyte: the thickness is $20\backslash$mu m$,$ oxygen ion concentration is $3\mathrm{.}6$M$,$ oxygen ion

diffusivity is $4*10-6$ cm$2/$s;

$1)(6$pts$)$ Calculate the anode and cathode activation voltage loss

$2)(6$pts$)$ Calculate the ohmic voltage loss

$3)(6$pts$)$ Calculate the anode and cathode concentration voltage loss

$4)(2$pts$)$ Calculate the voltage, power output of the SOFC at the operating conditions.

$5)(5$pts$)$ Calculate the voltage, power output of the SOFC, if there is a leaking current

density of $0\mathrm{.}1$A$/$cm$2($assuming anode loss is negligible$)$

$6)(15$pts$)$ Using matlab or excel to generate V$-$J and P$-$J plo