Chemistry

Chemistry

Problem

Which of the following expressions correctly relates the equilibrium constants K1K_1 and K2K_2 of the same reaction measured at absolute temperatures T1T_1 and T2T_2, assuming that the standard enthalpy change ΔH\Delta H is temperature–independent? a) ln⁡ ⁣(K2K1)=−ΔHR(1T2−1T1)\displaystyle \ln\!\left(\dfrac{K_2}{K_1}\right)=-\dfrac{\Delta H}{R}\left(\dfrac{1}{T_2}-\dfrac{1}{T_1}\right) b) ln⁡ ⁣(K2K1)=ΔHR(1T2−1T1)\displaystyle \ln\!\left(\dfrac{K_2}{K_1}\right)=\dfrac{\Delta H}{R}\left(\dfrac{1}{T_2}-\dfrac{1}{T_1}\right) c) ln⁡ ⁣(K2K1)=−ΔHR(T2−T1)\displaystyle \ln\!\left(\dfrac{K_2}{K_1}\right)=-\dfrac{\Delta H}{R}\left(T_2-T_1\right) d) K2K1=exp⁡ ⁣[ΔHR(1T2−1T1)]\displaystyle \dfrac{K_2}{K_1}=\exp\!\left[\dfrac{\Delta H}{R}\left(\dfrac{1}{T_2}-\dfrac{1}{T_1}\right)\right]

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