About the same as you can draw *through* a car battery.
Yet if you inhale the air *around* it you can feel the smell.
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I hope you realize that the type of battery in your picture is called a "Lead-Acid" battery for a good reason, right?
That's because it's made of lead plates, suspended in a bath of hydrochloric acid. You know, "Battery Acid" which is the stuff gangsters throw in their enemies' girlfriends' faces.
It's got absolutely no relevance whatsoever to the batteries used in PV's, any more than the combustion products of a coal plant relate to the output of a nuclear reactor.
ETA: "Feel the smell"?????