Geo-Scientist Prelims 2021 Chemistry Q56: Which of the following thermodynamic relations are correct?

Which of the following thermodynamic relations are correct?

1. \(\lim_{T \to 0} S = 0\)
2. \(S_T = \int_0^T \frac{C_P\,dT}{T}\)
3. \(-\Delta S = \left(\frac{\partial(\Delta G)}{\partial T}\right)_P\)

Select the correct answer using the code given below:

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