The isothermal expansion of one mole of an ideal gas from \( V_i \) to \( V_f \) at temperature \( T \) occurs in two ways:
Path I: a reversible isothermal expansion;
Path II: free expansion against zero external pressure.
The CORRECT option for the values of \( \Delta U \), \( q \), and \( w \) for Path I and Path II is: