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Question

Chemistry Question on Equilibrium

Equilibrium constant, K changes with temperature. At 300 K, equilibrium constant is 25 and at 400 K it is 10. Hence, backward reaction will have energy of activation

A

equal to that of forward reaction

B

less than that of forward reaction

C

greater than that of forward reaction

D

given values are not sufficient to explain given statement

Answer

greater than that of forward reaction

Explanation

Solution

logK2K1=ΔH2.303×R[T2T1T1T2]log \frac{K_{2}}{K_{1}}=\frac{\Delta H}{2.303\times R} \left[\frac{T_{2}-T_{1}}{T_{1}T_{2}}\right] ΔH=2.303×RT1T2(T2T1)logK2K1\Delta H=\frac{2.303\times RT_{1}T_{2}}{\left(T_{2}-T_{1}\right)}log\frac{K_{2}}{K_{1}} =2.303×8.314×300×400400300log1025=\frac{2.303\times8.314\times300\times400}{400-300} log \frac{10}{25} =2.303×8.314×300×400100log1025Hence,=\frac{2.303\times8.314\times300\times400}{100} log \frac{10}{25} Hence, E_{a}(backward)ismorethan(backward) is more thanE_{a}$ (forward)