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Q.

The rate constant (k) of a reaction is measured at different temperatures (T), and the data are plotted in the given figure. The activation energy of the reaction in kJ mol-1 is : (R is gas constant)

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a

1/R

b

2/R

c

2R

d

R

answer is C.

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Detailed Solution

ln⁡K=ln⁡A−EaRT→103T=0 i.e T→∞ i.e ln⁡K=ln⁡A at origin ln⁡K=10=ln⁡A→ at 103T=5⇒T=200K ln⁡K=0ln⁡A=EaRT10=EaR200Ea=2000RJ=2RkJ/mole

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The rate constant (k) of a reaction is measured at different temperatures (T), and the data are plotted in the given figure. The activation energy of the reaction in kJ mol-1 is : (R is gas constant)