Which of elements \(1-36\) have two unpaired electrons in the ground state?

Unpaired electrons are those that occupy an atomic orbital without another electron paired with it. In an electron configuration, each orbital can hold up to 2 electrons, having opposite spin (one spin up and one spin down). An unpaired electron is the one that does not have another electron with the opposite spin in the same orbital. These electrons play a significant role in determining the chemical reactivity and magnetic properties of an element.

Elements are arranged in the periodic table in blocks of s, p, d, and f, where each block represents the type of atomic orbitals being filled. To find the elements with two unpaired electrons in the ground state, we need to know which block the elements belong to and their electron configurations. From element 1 to 36, we have: - s-block: Elements 1 to 2 (H and He) and 3 to 10 (Li to Ne) - p-block: Elements 11 to 18 (Na to Ar) - d-block: Elements 19 to 36 (K to Kr)

Using the above information, we can find the elements with two unpaired electrons by analyzing their electron configurations: 1. Hydrogen (H) has only 1 electron in 1s orbital, i.e., 1 unpaired electron (1s^1). 2. Helium (He) has 2 electrons in the 1s orbital, so both are paired (1s^2). 3. Lithium (Li) to Neon (Ne) (s-block): These elements fill only s and p orbitals and have either 0 or 1 unpaired electrons. 4. Sodium (Na) to Argon (Ar) (p-block): These elements fill only s and p orbitals and also have either 0 or 1 unpaired electrons. 5. Potassium (K) and Calcium (Ca) (d-block): They have 1 unpaired electron (4s^1 and 4s^2, respectively). Now, we need to examine the remaining d-block elements, which are elements from Scandium (Sc) to Krypton (Kr). These elements start filling the d orbitals, and we need to find the elements having two unpaired electrons in their ground state configuration. 6. Scandium (Sc, Z=21) has an electron configuration of [Ar] 3d^1 4s^2, so it has only 1 unpaired electron. 7. Titanium (Ti, Z=22) has an electron configuration of [Ar] 3d^2 4s^2, which has 2 unpaired electrons. 8. Vanadium (V, Z=23) has an electron configuration of [Ar] 3d^3 4s^2, which has 3 unpaired electrons. 9. Chromium (Cr, Z=24) to Krypton (Kr, Z=36) also have more than 2 unpaired electrons or fully paired electrons. So, the only element from 1 to 36 that has two unpaired electrons in its ground state electron configuration is Titanium (Ti).