Rate constant in case of endothermic reaction
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A reaction being endothermic or exothermic depends on thermochemistry while the rate of a reaction depends on its chemical kinetics. Hence, there is no relationship between the activation energy of a reaction and its enthalpy change. Also there is no relationship between the change enthalpy and the rate of a reaction. A rate of reaction is dependent on the concentration of the reactants which are to a certain power which is multiplied by a certain constant, k, which is called the reaction rate constant. For example, for the general reaction:
A+B⟶CA+B⟶C
the rate of the reaction is given by the following equation:
rate=k[A]a[B]brate=k[A]a[B]b
The reaction rate constant is not dependent on whether a reaction is exothermic or endothermic. However is does depend on the temperature and and also the activation energy of the reaction, given by the equation:
k=Ae−EaRTk=Ae−EaRT
So we are right to say that a reaction will be slower if it has a higher activation energy, but you are wrong to say that endothermic reactions have a higher activation energy than exothermic reactions.
A+B⟶CA+B⟶C
the rate of the reaction is given by the following equation:
rate=k[A]a[B]brate=k[A]a[B]b
The reaction rate constant is not dependent on whether a reaction is exothermic or endothermic. However is does depend on the temperature and and also the activation energy of the reaction, given by the equation:
k=Ae−EaRTk=Ae−EaRT
So we are right to say that a reaction will be slower if it has a higher activation energy, but you are wrong to say that endothermic reactions have a higher activation energy than exothermic reactions.
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