Answer
Verified
336k+ views
Hint : In order to answer the question, to know how the equilibrium constant changes with temperature, we should go through both the exothermic reaction and the endothermic reaction. And we will discuss more about this topic.
Complete Step By Step Answer:
Yes, the equilibrium constant varies with the change in temperature. The equilibrium constant of an exothermic reaction decreases as the temperature decreases. However, in an endothermic reaction, the equilibrium constant increases with increase in temperature.
For an exothermic reaction $ (\Delta H\;is{\text{ }}negative) $ , $ K $ decreases with an increase in temperature.
For an endothermic reaction $ (\Delta H\;is{\text{ }}positive) $ , $ K $ increases with an increased temperature.
We can calculate the effect of changing temperature on the equilibrium constant by using the van't Hoff equation:
$ \dfrac{{d\,\ln \,K}}{{dT}} = \dfrac{{\Delta {H^\circ }}}{{R{T^2}}} $ , where $ R $ is the Ideal Gas Constant.
If we integrate the above equation from $ {T_1}\,to\,{T_2} $ , we get-
$ \ln (\dfrac{{{K_2}}}{{{K_1}}}) = \dfrac{{\Delta {H^\circ }}}{R}(\dfrac{1}{{{T_1}}} - \dfrac{1}{{{T_2}}}) $
Thus, if we know the $ \Delta {H^\circ } $ and the equilibrium constant at one temperature, we can calculate the equilibrium constant at some other temperature.
Note :
Le Chatelier's principle states that a change in temperature, pressure, or concentration of reactants in an equilibrated system will stimulate a response that partially offsets the change to establish a new equilibrium. In the case of changing temperature, adding or removing heat shifts the equilibrium.
Complete Step By Step Answer:
Yes, the equilibrium constant varies with the change in temperature. The equilibrium constant of an exothermic reaction decreases as the temperature decreases. However, in an endothermic reaction, the equilibrium constant increases with increase in temperature.
For an exothermic reaction $ (\Delta H\;is{\text{ }}negative) $ , $ K $ decreases with an increase in temperature.
For an endothermic reaction $ (\Delta H\;is{\text{ }}positive) $ , $ K $ increases with an increased temperature.
We can calculate the effect of changing temperature on the equilibrium constant by using the van't Hoff equation:
$ \dfrac{{d\,\ln \,K}}{{dT}} = \dfrac{{\Delta {H^\circ }}}{{R{T^2}}} $ , where $ R $ is the Ideal Gas Constant.
If we integrate the above equation from $ {T_1}\,to\,{T_2} $ , we get-
$ \ln (\dfrac{{{K_2}}}{{{K_1}}}) = \dfrac{{\Delta {H^\circ }}}{R}(\dfrac{1}{{{T_1}}} - \dfrac{1}{{{T_2}}}) $
Thus, if we know the $ \Delta {H^\circ } $ and the equilibrium constant at one temperature, we can calculate the equilibrium constant at some other temperature.
Note :
Le Chatelier's principle states that a change in temperature, pressure, or concentration of reactants in an equilibrated system will stimulate a response that partially offsets the change to establish a new equilibrium. In the case of changing temperature, adding or removing heat shifts the equilibrium.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE