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TFM

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**[SOLVED] Gas Laws Problem**

## Homework Statement

A steel tank is completely filled with 2.90 metres cubed of ethanol when both the tank and the ethanol are at a temperature of 33.5 degrees Celsius.

When the tank and its contents have cooled to 16.5 degrees Celsius, what additional volume of ethanol can be put into the tank?

## Homework Equations

[tex]\frac{V_1}{T_1} = \frac{V_2}{T_2} [/tex]

Thus

[tex] \frac{V_1*T_2}{T_1} = V_2[/tex]

Thus [tex]V_1-V_2=\Delta V[/tex]

## The Attempt at a Solution

Converting the Temperatures into Kelvin, I get:

[tex]\frac{289.65*2.9}{306.65}[/tex]

This gives a volume of 2.739, and a change in volume of 0.16, but apparently this is incorrect?

TFM