The total number of orbitals in a shell is given by n^2. For n=4, it is 4^2 = 16.

Four quantum numbers (n, l, m_l, s) are required to completely describe an electron in an atom.

Atomic radius increases down a group due to the addition of electron shells.

The atomic radius increases as you move down the group of alkali metals.

Electronegativity increases from left to right across a period.

Ionization energy decreases as you move down the group in s-block elements due to increased atomic size.

Ionization energy decreases down the group for alkali metals.

Metallic character decreases from left to right across a period.

S-block metals typically form ions with a charge of +2.

The unit of electric charge is the Coulomb.

The unit of electrical charge is the Coulomb.

Enthalpy can be expressed in both Joules per mole and Calories per mole.

The unit of entropy is Joules per mole per Kelvin (J/mol·K).

The unit of rate constant for a second-order reaction is L/(mol·s).

The unit of the rate constant for a second-order reaction is L²/mol²·s.

If the roots are reciprocals, then k = sum of roots = 0 and product = 1. Thus, k = 2.

For equal roots, the discriminant must be zero: (-4)^2 - 4*1*k = 0 => 16 - 4k = 0 => k = 4.

For equal roots, the discriminant must be zero: k^2 - 4*1*16 = 0 => k^2 = 64 => k = 8 or k = -8.

Using Vieta's formulas, k = 3 + 4 = 7.

For d orbitals, the azimuthal quantum number l is equal to 2.

The ideal gas constant R is 0.0821 L·atm/(K·mol).

R can have different values depending on the units used, including 0.0821 L·atm/(K·mol), 8.314 J/(K·mol), and 62.36 L·mmHg/(K·mol).

Kc = ([C][D]) / ([A][B]) = (0.3 * 0.4) / (0.1 * 0.2) = 2.0

Kc = [C]/([A][B]) = 0.3/(0.1*0.2) = 1.5

Kc = [B][C] / [A]^2 = (0.2)(0.3) / (0.5)^2 = 0.12 / 0.25 = 0.48.

The value of Kp is specific to the reaction conditions and cannot be determined without knowing the initial concentrations or the extent of the reaction.

The gas constant R is 0.0821 L·atm/(K·mol).

The principal quantum number n for the f subshell is 4.

The principal quantum number (n) indicates the energy level of the electron. For 4s, n=4.

In the ground state, the electron is in the first energy level, which corresponds to n=1.