Which of the following expressions correctly relates the equilibrium constants and of…

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

Which of the following expressions correctly relates the equilibrium constants

K_1

and

K_2

of the same reaction measured at absolute temperatures

T_1

and

T_2

, assuming that the standard enthalpy change

\Delta H

is temperature–independent? (a)

\displaystyle \ln\!\left(\dfrac{K_2}{K_1}\right)=-\dfrac{\Delta H}{R}\left(\dfrac{1}{T_2}-\dfrac{1}{T_1}\right)

(b)

\displaystyle \ln\!\left(\dfrac{K_2}{K_1}\right)=\dfrac{\Delta H}{R}\left(\dfrac{1}{T_2}-\dfrac{1}{T_1}\right)

(c)

\displaystyle \ln\!\left(\dfrac{K_2}{K_1}\right)=-\dfrac{\Delta H}{R}\left(T_2-T_1\right)

(d)

\displaystyle \dfrac{K_2}{K_1}=\exp\!\left[\dfrac{\Delta H}{R}\left(\dfrac{1}{T_2}-\dfrac{1}{T_1}\right)\right]