Fuel systems of modern cars are designed so thermal expansion of gasoline doesn\

Question

Fuel systems of modern cars are designed so thermal expansion of gasoline doesn't result in wasteful and polluting fuel spills. As an engineer, you're asked to specify the size of an expansion tank that will handle this overflow. You know that gasoline comes from its underground tank at 10 degree C, and your tank must handle the expansion of a full 75 L gas tank when the gas reaches a hot summer day's temperature of 36 degree C. How large an expansion tank do you specify? Express your answer with the appropriate units.

Explanation / Answer

Volumetric Coefficient of Expansion of gasoline , k = 0.00095 1/degree C

Volume of tank ,Vo = 75 L

change in temperature , del T = 36 -10

del T = 26 degree C

volume of expansion tank needed = Vo * k * del T

volume of expansion tank needed = 75 * 0.00095 * 26

volume of expansion tank needed = 1.85 L

the volume of expansion tank needed is 1.85 L .

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