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Vienna would need about 150 km² of solar panels to produce enough electricity
(discuss.tchncs.de)
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Vienna has around 68km² of roof surface.
But there are two nice facts that make the whole calculation easier:
So the whole point is kinda moot. If we would put solar on all rooftops in Vienna, it would be enough to cover for the entire remaining fossil-based electricity generation in Austria if we had the means to store that excess energy.