Question

Which is the correct expression for relating rate constant of a reaction at two different temperature?

A
ln k2k1=Ea2.303 R(T1T2T1.T2)
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B
ln k2k1=EaR(T2T1T1.T2)
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C
ln k1k2=EaR(T2T1T1.T2)
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D
ln k2k1=Ea2.303 R(T2T1T1.T2)
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Solution

The correct option is B ln k2k1=EaR(T2−T1T1.T2)Arrhenius equation: k=Ae−EaRT Taking natural log on both side, ln k=ln(Ae−EaRT) ln k=ln A−EaRT Let us consider, for a particular reaction k1 and k2 are the rate constant at temperature T1 and T2. ∴ ln k1=ln A−EaRT1.....eqn(1) ln k2=ln A−EaRT2.....eqn(2) Subtracting equation (1) from (2) we get, ln k2−ln k1=−EaRT2+EaRT1 ln k2k1=EaRT1−EaRT2 ln k2k1=EaR(1T1−1T2)​ ln k2k1=EaR(T2−T1T1T2)​

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