The electron configuration for potassium (\( \text{K} \), atomic number 19) is:
\(\text{K} : 1s^2, 2s^2, 2p^6, 3s^2, 3p^6, 4s^1.\)
The outermost orbital is the \( 4s \) orbital. The quantum numbers for the outermost electron are:
\( n = 4, \, l = 0, \, m = 0, \, s = +\frac{1}{2}. \)
If the system of equations \[ x + 2y - 3z = 2, \quad 2x + \lambda y + 5z = 5, \quad 14x + 3y + \mu z = 33 \] has infinitely many solutions, then \( \lambda + \mu \) is equal to:}
The equilibrium constant for decomposition of $ H_2O $ (g) $ H_2O(g) \rightleftharpoons H_2(g) + \frac{1}{2} O_2(g) \quad (\Delta G^\circ = 92.34 \, \text{kJ mol}^{-1}) $ is $ 8.0 \times 10^{-3} $ at 2300 K and total pressure at equilibrium is 1 bar. Under this condition, the degree of dissociation ($ \alpha $) of water is _____ $\times 10^{-2}$ (nearest integer value). [Assume $ \alpha $ is negligible with respect to 1]