For a first order reaction `A rarr P`, the temperature `(T)` dependent rate constant `(k)` was found to follow the equation `log k = -2000(1//T) + 6.0`. The pre-exponential factor `A` and the activation energy `E_(a)`, respective, are

For a first order reaction ArarrP , the temperature (T) dependent rate constant (K) was found to follow the equation log k=-(2000)(1)/(T)+6.0 . The pre- exponential factor A and the activation energy E_(a) , respectively, are :

For a first order reaction A rarr P, the temperature (T) dependent rate constant (k) was found to follow the equation log k=(2000)/T +6.0 The pre-exponential factor A and the activation energy E_a , respectively, are

For the reaction , A rarr P , the value of the rate constant (k) is found to vary with temperature according to the equation given below : logk=(2000)/(T)+0.6 If the pre-exponential factor and activation energy for the reaction are A and E_(a) , respectively, then -

Ethylene oxide is decomposed to CH_(4) and CO. Rate constant for this reaction may be described by the equation log k(s^(-1)) = 4.0 - (1000)/T . The frequency factor 'A and activation energy E_a are respectively:

The rate of reaction increases isgnificantly with increase in temperature. Generally, rate of reactions are doubled for every 10^(@)C rise in temperature. Temperature coefficient gives us an idea about the change in the rate of a reaction for every 10^(@)C change in temperature. "Temperature coefficient" (mu) = ("Rate constant of" (T + 10)^(@)C)/("Rate constant at" T^(@)C) Arrhenius gave an equation which describes aret constant k as a function of temperature k = Ae^(-E_(a)//RT) where k is the rate constant, A is the frequency factor or pre-exponential factor, E_(a) is the activation energy, T is the temperature in kelvin, R is the universal gas constant. Equation when expressed in logarithmic form becomes log k = log A - (E_(a))/(2.303 RT) Activation energies of two reaction are E_(a) and E_(a)' with E_(a) gt E'_(a) . If the temperature of the reacting systems is increased form T_(1) to T_(2) ( k' is rate constant at higher temperature).