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Question

Activation energy (Ea) and rate constants (k1 and k2) of a chemical reaction at two different temperature (T1 and T2) are related by:

A
lnk2k1=EaR[1T11T2]
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B
lnk2k1=EaR[1T21T1]
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C
lnk2k1=EaR[1T2+1T1]
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D
lnk2k1=EaR[1T11T2]
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Solution

The correct option is D lnk2k1=EaR[1T11T2]
We know that k=AeEa/RT
ln k=ln AEaRT
At temperatures t1 and t2, let rate constants be k1 and k2
ln k1=ln AEaRT1.....(i)
ln k2=ln AEaRT2.....(ii)
Subtracting (i) and (ii)
ln k2ln k1=EaRT1EaRT2
ln k2k1=EaR[1T11T2]

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