Question

An underground gasoline tank can hold 1.00x10^3 gallons of gasoline at 52.0 degrees F. If the tank is being filled on a cool morning when the outdoor temperature (and the gasoline in the tanker truck) is 32.0 degrees F, how many gallons from the truck can be poured in the tank? (b) Generally speaking, coefficients of thermal expansion of metals are two magnitudes smaller than that of gasoline's. If you would like to maximize the time or distance between gas refills for your car, should you refill the car at noon or at the morning/night time? Explain your reasoning. Is there any "side effect" by doing this? *coefficient of volume expansion for gasoline: 9.6x10^-4

Answer 1

The equation for volume expansion is

where  

= coefficent of volume expansion

Vo = Initial Volume

= Temperature difference

so using the values in the equation

= gallons

so if the gasoline is poured to the tank then their will be an expansion of 19.2 gallon so the total gallon to be poured =

b, If you wanna maximize the time and distance then you have to fill the car at morning or night time as the temperature is less compared to noon, so their wont be much expansion as if their where in noon so more gas can be filled, but its not ideal as during noon as the temperature rises the fuel will expand and the tank cant able to manage the pressure and will eventually give up. so its ideal not to fill the tank full during morning/night time(keep in mind the fuel expansion)