Getting hydrogen out of the air takes energy, using hydrogen in a motor or fuel cell creates losses.
There isn't any hydrogen in air to be 'got', at least in any worthwhile amounts. It has to be made chemically from hydrocarbons or electrically from water.
Yáll don’t seem to have read the article.
I assumed it was a rehash of the compressed air power idea, (though that would be “thick air”) but its actually about removing water vapour from air for use in electrolytic production of hydrogen.
Hard to believe water shortage is a serious limit on electrolysis globally, but the pitch seems to be it’s a local limit for real estate especially suitable for solar, i.e. deserts
This in turn would seem to involve the assumption that a hydrogen pipeline is a cheaper way of transporting energy than an electric power line, which I find a bit surprising. Perhaps repurposing redundant desert oil pipelines helps the costings.
Be that as it may, if you had a pipeline anyway, you could presumably run it backwards every now and then to fill up your desert water tanks, so you wouldn’t really need to extract the water from dry air.
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