Standard free energies of formation (in kJ/mol) at 298 K are -237.2, -394.4 and -8.2 for H2O(l), CO2(g) and pentane (g) respectively. The value of E cell for the pentane-oxygen fuel cell is
- 1.0968 V
- 0.0968 V
- 1.968 V
- 2.0968 V
Answer
(1) 1.0968 V
Solution
Cell reaction (combustion of pentane):
C5H12(g) + 8O2(g) 5CO2(g) + 6H2O(l)
r G = [5(-394.4) + 6(-237.2)] - [(-8.2) + 8(0)]
= -1972.0 - 1423.2 + 8.2
= -3387.0 kJ mol-1
8 mol O2 (O: 0 → -2) gain 8 4 = 32 mol electrons, so n = 32.
r G = - nFE cell
E cell = 3387.0 10332 96500
= 33870003088000
= 1.0968 V
Answer: (1)