Step 1: Verifying Statement-I
In the Hall-Heroult process, aluminum oxide (\( Al_2O_3 \)) has a high melting point (~2000 K), making electrolysis inefficient. To reduce this, cryolite (\( Na_3AlF_6 \)) is added:
- Lowers the melting point to ~1000 K, making electrolysis easier.
- Enhances conductivity, allowing efficient ion migration in the molten electrolyte.
Thus, Statement-I is correct.
Step 2: Verifying Statement-II
The zone refining method is used for purification of semiconductor metals, such as silicon and germanium, not zirconium.
Zirconium is purified using the van Arkel method, which involves thermal decomposition of zirconium tetraiodide (\( ZrI_4 \)).
Thus, Statement-II is incorrect.
Conclusion
Thus, the correct answer is:
\[
\text{Statement-I is correct, but Statement-II is not correct}
\]