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A car has a 50 L steel gas tank filled to the top with gasoline when...

A car has a 50 L steel gas tank filled to the top with gasoline when the temperature is 10°C. The coefficient of volume expansion of gasoline is β = 0.900 ✕ 10-3 K-1. Taking the expansion of the steel tank into account, how much gasoline spills out of the tank when the car is parked in the sun and its temperature rises to 28°C?

Answer: ____ L

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Answer #1

Vspill = Vgas - Vtank

Vspill = Bgas V dT - Btank V dT

Vspill = V dT (Bgas - 3Asteel)

Vspill = 50 x (28 - 10) [(0.9 x 10^-3) - (3 x 11 x 10^-6)]

Vspill = 0.78 L

Comment in case any doubt please rate my answer....

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