Geo-Scientist Prelims 2025 Chemistry Q63: Which of the following thermodynamic relations are correct ?

Which of the following thermodynamic relations are correct ?

1. \(\left(\frac{\partial U}{\partial S}\right)_V = \left(\frac{\partial H}{\partial S}\right)_p\)
2. \(\left(\frac{\partial U}{\partial V}\right)_S = \left(\frac{\partial A}{\partial V}\right)_T\)
3. \(\left(\frac{\partial H}{\partial p}\right)_S = \left(\frac{\partial G}{\partial p}\right)_T\)
4. \(\left(\frac{\partial A}{\partial T}\right)_V = \left(\frac{\partial U}{\partial S}\right)_T\)

Select the answer using the code given below :

1. (a) 1, 2, 3 and 4
2. (b) 3 and 4 only
3. (c) 1, 2 and 4 only
4. (d) 1, 2 and 3 only