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ps3solutions - Chemistry 4511 Problem Set 3 dU Give an...

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Chemistry 4511 Problem Set 3 1. Give an expression for the internal pressure T dV dU for the Beattie-Bridgeman equation. We have the beattie-bridgeman equation: () 2 2 3 1 m m m m V A B V V T V c RT P + = where A and B are independent of T. We also have the thermodynamic equation of state V T dT dP T P dV dU + = . First we need to isolate the different functionalities with respect to T of P. This looks like the following: 2 2 3 2 1 m m m m m V A T B V V cR T B V V R P = and 3 3 2 1 2 T B V V cR B V V R dT dP m m m m V + = now, plugging this into the expression for the internal pressure, the T terms cancel and we are left with the following expression: 2 2 3 1 3 m m m T V A T B V V cR dV dU + = This result can be physically interpreted as a much more complicated intermolecular
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ps3solutions - Chemistry 4511 Problem Set 3 dU Give an...

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