Step 1: Let the oxidation number of Mn be \( x \) in \( KMnO_4 \).
Step 2: Since \( K = +1 \) and \( O_4 = -8 \), the equation is: \[ 1 + x + (-8) = 0 \] \[ x = +7 \] Thus, the oxidation state of Mn in \( KMnO_4 \) is +7.
Write IUPAC names of the following coordination entities:
(a) \( [Fe(en)_2Cl_2]^+ \)
(b) \( [Co(NH_3)_4(H_2O)Br]SO_4 \)
(c) \( [Ni(CN)_4]^{2- \)
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $