Determining the Output Voltage of a PAFC

Calculate the output voltage of a PAFC assuming no losses under ideal conditions if there are 100 moles of $H_2$ .

Question

Determining the Output Voltage of a PAFC

Calculate the output voltage of a PAFC assuming no losses under ideal conditions if there are 100 moles of [latex]H_2[/latex].

Accepted Answer

[latex]q = 1.602 imes 10^{-19}, N_A = 0.6002 imes 10^{24}, G_H = 237.13 imes 10^3, N_m = 100[/latex]

Equation (16.89)

[latex]q_e = N_A q[/latex] (16.89)

gives the amount of charge in mol of electron

[latex]q_e = N_A imes q = 0.6002 imes 10^{24} imes 1.602 imes 10^{-19} = 9.615 imes 10^4 C[/latex]

Equation (16.90)

[latex]N_e = 2N_A[/latex] (16.90)

gives the number of electronics for 1 mol of [latex]H_2 [/latex]

[latex]N_e = 2N_A = 2 imes 0.6002 imes 10^{24} = 1.2 imes 10^{24}[/latex]

Equation (16.91)

[latex]q_m = N_e q = 2N_A q[/latex] (16.91)

gives the total charge of electrons in 1 mol of [latex]H_2[/latex]

[latex]q_m = N_e imes q = 1.2 imes 10^{24} imes 1.602 imes 10^{-19} = 1.923 imes 10^5 C[/latex]

Equation (16.93) gives the output voltage of a single FC

[latex]V_c=\frac{G_H}{q_m}=\frac{237.13 imes 10^3}{1.923 imes 10^5}=1.233 V[/latex]

Therefore, the total output voltage for [latex]N_m = 100[/latex]

[latex]V_o = N_mV_c = 100 imes 1.233 = 123.3 V[/latex]

Question 16.9: Determining the Output Voltage of a PAFC Calculate the outpu...