One normal cubic meter of hydrogen weighs about 90 g (show this). To produce 1 Nm³ of hydrogen by high-temperature electrolysis, one needs about 3 kWh/Nm³ . For conventional electrolysis about 4 kWh/Nm³ is needed. A car using a fuel cell needs about 1 kg of hydrogen to drive 100 km. Calculate the energy necessary to produce 1 kg of hydrogen.
In 1000 liters the number of moles is the volume divided by the volume of 1 mol. One kilogram of \mathrm{H}_{2} corresponds to 11.1 Nm³. The energy needed to produce that quantity is equal to 33.3 kWh. This is the energy contained in 3.3 liters of gasoline, for example. In the case of conventional electrolysis the amount of energy is 44.4 kWh (about 4.4 liters of gasoline).