Assume 8 cents a kilowatt. How much will it cost to electrolyze and capture hydrogen equal to 10 gallons 85 octane gasoline?

A gallon of gas is 114,000 BTUs. Hydrogen is 51,000 BTU/lb. The energy by gallon depends on how you compress it, which is both expensive and difficult to keep contained.

Get it all the way to liquid and it's 71 grams per liter (compared to water's 1,000 g/l), which works out to 30,000 BTU/gallon. So you'd need 38 gallons of liquid hydrogen to be the same energy as 10 gallons of gas. If you had perfect synthesis, you'd need 33 KW-h to make up the energy in a gallon, so it would cost around $2.64 per gallon of gas equivalent, so $26.40 for a tank (which would be considerably larger than 10 gallons.).

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