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# What volume of air Vair will there be above the ethanol in the tank after the system has cooled off to the ground temperature?

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.

What volume of air Vair will there be above the ethanol in the tank after the system has cooled off to the ground temperature?

Express your answer in liters.

### 1 Answer

- BillLv 71 month ago
If the tank is completely full of ethanol, unless it is vented there will be no air inside.

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