Final Answer:
The correct order of increasing first ionization energy Ar < Ca < Mg < O < N < At. This order is based on trends such as atomic size and effective nuclear charge, where elements with smaller atomic size generally have higher ionization energies. The answer is D. Ar < Ca < Mg < O < N < At.
Step-by-step explanation:
Argon (Ar): As a noble gas, argon has a full valence shell, making it more difficult to remove an electron, resulting in higher ionization energy.
Calcium (Ca) and Magnesium (Mg): Both are alkaline earth metals. Magnesium has a smaller atomic size than calcium, so Mg has a slightly higher first ionization energy.
Oxygen (O) and Nitrogen (N): Oxygen has a higher first ionization energy than nitrogen. Both are nonmetals, but oxygen's smaller atomic size leads to a higher ionization energy.
Astatine (At): Astatine is a halogen with the highest first ionization energy among the given elements due to its larger atomic size compared to the others.
Therefore, the correct order is Ar < Ca < Mg < O < N < At, corresponding to option D.