Final answer:
In increasing order of atomic size, the elements are arranged as lithium, carbon, nitrogen, and fluorine. In decreasing order of ionization energy, the elements are arranged as hydrogen, lithium, calcium, and potassium. These arrangements are based on general trends observed in the periodic table.
Step-by-step explanation:
The question asked to arrange certain elements in increasing order of atomic size and decreasing order of ionization energy. Atomic size generally increases as you move down a group on the periodic table and decreases across a period from left to right, while ionization energy typically decreases as you move down a group and increases from left to right across a period.
Given that, (a) the elements in increasing order of atomic size would be: lithium, carbon, nitrogen, fluorine. (b) The elements in decreasing order of ionization energy would be: hydrogen, lithium, calcium, potassium.
It's important to understand that these are general trends observed in the periodic table and some elements might not follow these trends exactly due to their unique electronic configurations.
Learn more about Element Arrangement