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.

Kp is defined as the partial pressure of products over reactants, raised to the power of their coefficients.

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 gravitational constant G is approximately 6.67 x 10^-11 N(m/kg)^2.

Integral = [x^3 + 2x] from 0 to 1 = (1 + 2) - (0) = 3.

The integral evaluates to [x^3] from 0 to 1 = 1^3 - 0^3 = 1.

The integral ∫(0 to 1) x^2 dx = [x^3/3] from 0 to 1 = 1/3.

The integral evaluates to [x^3 - 2x] from 1 to 2 = (8 - 4) - (1 - 2) = 3.

The integral evaluates to 7.

The integral evaluates to tan^-1(x) + C.

The integral ∫(2x + 3)dx = [x^2 + 3x] from 0 to 1 = (1^2 + 3*1) - (0 + 0) = 1 + 3 = 4.

∫(2x)dx = x^2 from 0 to 1 = 1^2 - 0^2 = 1.

∫(2x)dx = x^2 from 0 to 2 = 2^2 - 0^2 = 4.

The integral evaluates to [0.5x^4 - x^3 + 4x] from 1 to 2 = (8 - 8 + 8) - (0.5 - 1 + 4) = 8 - 2.5 = 5.5.

The integral evaluates to 20.

Evaluating the integral gives [x^3 + x^2]_0^1 = (1 + 1) - (0 + 0) = 2.

Using L'Hôpital's rule, the limit evaluates to 5.

Using L'Hôpital's Rule, the limit evaluates to 2.

The limit lim(x->0) (sin(x)/x) = 1.

Using L'Hôpital's rule, the limit evaluates to 5.

The limit lim(x→0) (sin(x)/x) = 1.

As x approaches infinity, 1/x approaches 0.

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.

Potassium (K) has an atomic number of 19, and its electron configuration ends in 4s, so the outermost electron has n=4.

Sodium has an atomic number of 11, and its electron configuration is 1s² 2s² 2p⁶ 3s¹. The outermost electrons are in n=3.