A metal tank with a capacity of 1700 L is completely filled with ethanol when both the tank and the ethanol are at temperature 19.0 ∘C. Then the tank and its contents are brought underground, where the temperature is 10.0 ∘C . What volume of air will there be above the ethanol in the tank after the system has cooled off to the ground temperature? The coefficient of volume expansion for ethanol is βe = 7.50×10−4 K−1 . The tank is made of a metal for which the coefficient of linear expansion is αt = 1.20×10−5 K−1. a) Find the change in volume of the metal tank, ΔVt, and that of the ethanol in it, ΔVe b What volume of air Vair will there be above the ethanol in the tank after the system has cooled off to the ground temperature?

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Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.