PS1F07 - Chemistry 391 Problem Set 1(Due Wednesday...

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Chemistry 391 Fall 2007 Problem Set 1 (Due, Wednesday September 5) 1. A sealed flask with a capacity of 1.00 liter (=1.00 dm 3 ) contains 5.00 g of ethane. The flask is so weak that it will burst if the pressure exceeds 1.00 × 10 6 Pa. At what temperature will the pressure of the (ideal) gas exceed the bursting temperature? 2. Consider a gas mixture in a 2.00-liter flask at 27.0ºC. Calculate the partial pressure of each gas, the total pressure, and the composition of the mixtures in mole fractions for: a) 1.00 g H 2 and 1.00 g O 2 b) 1.00 g N 2 and 1.00 g O 2 3. Consider P T V V dV dT dP T P = + (1) You want to obtain the Euler chain directly from (1). How do you do this? Go through all steps in detail! 4. ( ) , V V T P = for a simple system is a state function. Use the equality of mixed second partial derivatives to show that ( ) , T P κ the isothermal compressibility and ( ) , T P α the coefficient of thermal expansion are related by .
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