An automobile fuel tank is ?lled to the brim with 31.6 L of gasoline at 5.55?C.

Question

An automobile fuel tank is ?lled to the brim with 31.6 L of gasoline at 5.55?C. Immediately afterward, the vehicle is parked in the Sun, where the temperature is 32.5 ?C. How much gasoline over?ows from the tank as a result of the expansion? The coef- ?cient of volume expansion of gasoline is 0.00096 (?C)?1 . Neglect the expansion of the tank. An automobile fuel tank is ?lled to the brim with 31.6 L of gasoline at 5.55?C. Immediately afterward, the vehicle is parked in the Sun, where the temperature is 32.5 ?C. How much gasoline over?ows from the tank as a result of the expansion? The coef- ?cient of volume expansion of gasoline is 0.00096 (?C)?1 . Neglect the expansion of the tank.

Explanation / Answer

increase in volume = Initial volume * coef?cient of volume expansion * increase in temperature

increase in volume = 31.6 L * 0.00096 * (32.5- 5.55) = 0.8175552 L

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