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NCERT Class XII Chemistry
Chapter - Chemical Kinetics
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Question : 7 of 39
Marks: +1, -0
What is the effect of temperature on the rate constant of a reaction?
How can this temperature effect on rate constant be represented quantitatively?
Solution:  
The rate constant increases with increase in temperature and becomesalmost double for every 10° increase in temperature. Swedish chemist,Arrhenius derived a quantitative relation between rate of reaction andtemperature. According to Arrhenius,
k=AeEaRTk=A e^{-\frac{E_{a}}{R T}}
or, logk=logAEaRT\log k = \log A - \frac{E_{a}}{R T}
or, logk2k1=Ea2.303R[1T11T2]\log \frac{k_{2}}{k_{1}} = \frac{E_{a}}{2.303 R} \left[ \frac{1}{T_{1}} - \frac{1}{T_{2}} \right]
where            k1\; \; \; \; \; \; k_1 = rate constant at temperature T1T_1,
            k2\; \; \; \; \; \; k_2 = rate constant at temperature T2T_2,
            Ea\; \; \; \; \; \; E_a = energy of activation, R = universal gas constant.
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