A possible replacement for a battery in an electric vehicle is to instead use ga

Question

A possible replacement for a battery in an electric vehicle is to instead use gasoline (C_8H_18) as the reactant for a fuel cell. Complete the balanced stoichiometric reaction of gasoline reacting with pure oxygen (not air). The current this fuel cell would produce is determine by the following equation: I = (#electrons/gasoline) (mole/sec) {96,495 amp sec/mole} For the gasoline fuel cell reaction, 50 electrons are produced for each mole of gasoline. The fuel cell would be configured to produce a voltage of 250V to run the motors and needs to produce 10 kW of DC power, how much gasoline is consumed? (Molecular Weights: C = 12 gm/mole, H = 1 gm/mole) C_8H_18 + rightarrow

Explanation / Answer

Power = V * i*t

10000 J/s = (250 V) x i

i = 40 A

We know,

i = (50 electrons / 1 mole ) x (moles/s )x 96495

40 = 50 x moles x 96495

moles = 8.30 x 10-6 moles

Molar mass of C8H18 = 8*12 + 18 = 114 g/mol

Mass of gasoline == 114 g/mol x 8.30 x 10-6 moles == 9.45 x 10-4 grams

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