QuestionThermodynamics / partial derivatives
Considering U as a function of variables T and V, which one of the following expressions is correct for \(\left(\frac{\partial U}{\partial p}\right)_T\) ?
- (a) \(\left(\frac{\partial U}{\partial p}\right)_T = \left(\frac{\partial U}{\partial V}\right)_T \left(\frac{\partial V}{\partial p}\right)_T\)
- (b) \(\left(\frac{\partial U}{\partial p}\right)_T = -\left(\frac{\partial U}{\partial V}\right)_p \left(\frac{\partial V}{\partial p}\right)_T\)
- (c) \(\left(\frac{\partial U}{\partial p}\right)_T = \left(\frac{\partial U}{\partial T}\right)_p \left(\frac{\partial V}{\partial U}\right)_p\)
- (d) \(\left(\frac{\partial U}{\partial p}\right)_T = -\left(\frac{\partial U}{\partial V}\right)_T \left(\frac{\partial V}{\partial p}\right)_T\)
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