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AP EAMCET · Chemistry · Chemical Equilibrium

The stepwise stability constants of a complex are given below. What is its overall reaction stability constant \(\left(\beta_4\right)\) ?
\(\begin{aligned}
& M+L \rightleftharpoons M L ; K_1=1.0 \times 10^4 \\
& M L+L \rightleftharpoons M L_2 ; K_2=1.0 \times 10^3 \\
& M L_2+L \rightleftharpoons M L_3 ; K_3=1.0 \times 10^3 \\
& M L_3+L \rightleftharpoons M L_4 ; K_4=1.0 \times 10^2
\end{aligned}\)
(Overall reaction : \(M+4 L \rightleftharpoons M L_4\) )

  1. A \(1.0 \times 10^{12}\)
  2. B \(12.1 \times 10^3\)
  3. C \(1.0 \times 10^6\)
  4. D \(1.0 \times 10^8\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.0 \times 10^{12}\)

Step-by-step Solution

Detailed explanation

Given, \(\begin{gathered} M+L \rightleftharpoons M L ; K_1=1.0 \times 10^4 \\ M L+L \rightleftharpoons M L_2 ; K_2=1.0 \times 10^3 \\ M L_2+L \rightleftharpoons M L_3 ; K_3=1.0 \times 10^3 \\ M L_3+L \rightleftharpoons M L_4 ; K_4=1.0 \times 10^2 \end{gathered}\) Overall…