Standard free energies of formation (in kJ / mol ) at 298 ~K are -237.2,-394.4 and -8.2 for H ₂ O (l) CO ₂(g) and pentane (g) , respectively. The value of E_ cell ^0 for the pentane-oxygen fuel cell is

Step-by-step solution

( aligned & C ₅ H _ 12(g) +8 O _ 2(9) 5 CO _ 2(g) +6 H ₂ O _ ( e ) & G _r=5 ( G _r )_ CO ₂ +6 ( G _ r )_ H ₂ O - ( G _ r )_ Pentane & =5(-5394.4)+6(-237.2)-(-8.2) & =-1972-1423.2+8.2 & G _ R =-3387 ~kJ / mole & C ₅^ -12 5 H ₁₂ 5 4 C ₂ aligned ) For 5 carbon atoms, there is a change of electrons from - 12 to 20 ( aligned & No. of electrons involved =32 e ⁻ & G_r=-3387 10^3=-32 E^ 96500 & E^ =1.097 V aligned )