In the hypothetical equation $$A+B$$⇌$$K1K2C+D$$ if equilibrium constant is $$2$$×$$104$$ at $$298K$$ . If forward rate constant $$K1=4$$×$$103$$ mole $$2lit-2$$ at $$298K$$ , the value of backward rate constant $$K2$$ at same temperature is $$___$$?

Equilibrium constant $$=$$ Forward rate constant Backward rate constant $$2$$×$$104=4$$×$$103K2K2=0.2$$ mole $$2$$ lit $$-2$$

Chemical Equilibrium

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Question

In the hypothetical equation $A + B \underset{K_{2}}{\overset{K_{1}}{⇌}} C + D$ if equilibrium constant is $2 \times 10^{4} at 298 K$ . If forward rate constant $(K_{1}) = 4 \times 10^{3} {mole}^{2} l i t^{- 2} at 298 K$ , the value of backward rate constant $(K_{2})$ at same temperature is ___?

Moderate

Solution

$\begin{array}{l} Equilibrium constant = \frac{Forward rate constant}{Backward rate constant} \\ 2 \times 10^{4} = \frac{4 \times 10^{3}}{K_{2}} \\ K_{2} = 0.2 {mole}^{2} {lit}^{- 2} \end{array}$

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