4) Problem 3.23 in book (with corrections): Treating the energy of an arbitrary system (e.g. no assumptions about ideality) as a function of temperature and volume, the following expression is the exact differential for dU: dU(T,V)= dT + dV. ÔT V T Using this expression, give the exact differential of dU for a van der Waals gas, for which the internal energy is as follows: 3 n2 U = nRT - - a. 2 V
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