A gas station owner suspects that he is being overcharged for gasoline deliveries by a gasoline supplier. The overcharge seems particularly high in the summer months. The owner hires an attorney, who then contracts with you as an expert witness to analyze the situation. As you investigate the gasoline supplier, you discover that he is not using temperature-compensated gauges on his delivery trucks. Therefore, on a hot day, the supplier is pumping expanded gasoline, which then contracts into a smaller volume in the owner's underground tanks. The supplier is charging for the expanded volume as measured by his non-compensated gauges. You report your information to the attorney, who then asks you to determine the percentage that the owner was overcharged on a delivery day when the outside temperature was 92.2°F and temperature of the underground tank was a constant 55.0°F.

Question

Physics

Lilah Davila

21 March, 03:06

A gas station owner suspects that he is being overcharged for gasoline deliveries by a gasoline supplier. The overcharge seems particularly high in the summer months. The owner hires an attorney, who then contracts with you as an expert witness to analyze the situation. As you investigate the gasoline supplier, you discover that he is not using temperature-compensated gauges on his delivery trucks. Therefore, on a hot day, the supplier is pumping expanded gasoline, which then contracts into a smaller volume in the owner's underground tanks. The supplier is charging for the expanded volume as measured by his non-compensated gauges. You report your information to the attorney, who then asks you to determine the percentage that the owner was overcharged on a delivery day when the outside temperature was 92.2°F and temperature of the underground tank was a constant 55.0°F.

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Answers (1)

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Madalynn May · Answer 1

delta V = v * alpha * delta T

= V * 0.00053 * (92.2 - 55.0)

= 0.019716 V

percentage that the owner

= [delta V / V] * 100

= [0.019716 V / V] * 100

= 1.9716 %