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§ 91.205 Powered civil aircraft with standard category U.S. airworthiness certificates: Instrument and equipment requirements.
(a)
General. Except as provided in paragraphs (c)(3) and (e) of this section, no person may operate a powered civil aircraft with a standard category U.S. airworthiness certificate in any operation described in paragraphs (b) through (f) of this section unless that aircraft contains the instruments and equipment specified in those paragraphs (or FAA-approved equivalents) for that type of operation, and those instruments and items of equipment are in operable condition.
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(9) Fuel gauge indicating the quantity of fuel in each tank.
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A gauge that reads zero all the time is not indicating the quantity of fuel.
And more:
http://www.av8n.com/fly/fuel-gauges.htm
Dan