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Write the equation for relationship of r...

Write the equation for relationship of rate constant and temperature.

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The variation of rate constant with temperature can be explained by Arrhenius equation. However , the can be explained by Activation energy is found to be temperature dependent/In such cases (d"in"K)/(dT)=(E_(a))/(RT^(2)) should be used to predict variation of rate constant with tempreature. On the basic of this information , answer the question that follow : Which if the following statement is not correct ?

The rate of chemical reaction are strongly affected by temperature . Arrhenius (1889) gave following relation between rate contant and temperature . k=Ae^(-E_(a)//RT)" ".....(i) This equation is called Arrhenius equation. The constant 'A' is caleld Arrhenius of pre-exponential factor. Logarithm of equation (i) given : log_(10)k=log_(10)A(E_(a))/(2.3030RT)" ".....(ii) The rate constant for a reaction is . log_(10)"sec"^(-1)=14-(1.25xx10^(4)K)/(T) " ".....(iii) At what temperature, rate constant of the reaction is equal to the pre-exponenntial factor ?

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Derive the relationship between rate constant and half-life period of a first order reaction.