Thermodynamic feasibility of the reaction alone cannot decide the rate of the reaction. Explain with the help of one example.

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(N/A) Thermodynamic feasibility (indicated by a negative value of Gibbs free energy change,$\Delta G < 0$) does not determine the rate of a reaction. $A$ reaction may be thermodynamically spontaneous,but its rate can be extremely slow due to a high activation energy $(E_a)$.
For example,the conversion of diamond to graphite is thermodynamically feasible ($\Delta G$ is negative),but the reaction is kinetically very slow at room temperature because it possesses a very high activation energy.

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$A$ reaction takes place in three steps with individual rate constants and activation energies. The overall rate constant is given by $k = (\frac{k_1 k_2}{k_3})^{2/3}$. The overall activation energy of the reaction in $kJ/mol$ is:
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$Step\ 2$ $k_2, E_{a_2} = 80\ kJ/mol$
$Step\ 3$ $k_3, E_{a_3} = 50\ kJ/mol$

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