Among the following, the correct thermodynamic equation of state is
1
\(\rm\left(\frac{\partial U}{\partial V}\right)_T=T\left(\frac{\partial T}{\partial S}\right)_V − P\)
2
\(\rm\left(\frac{\partial U}{\partial V}\right)_T=T\left(\frac{\partial P}{\partial T}\right)_V−P\)
3
\(\rm\left(\frac{\partial U}{\partial V}\right)_T=T\left(\frac{\partial P}{\partial S}\right)_V−P\)
4
\(\rm\left(\frac{\partial U}{\partial V}\right)_T=T\left(\frac{\partial A}{\partial V}\right)_T−P\)