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

lnK=lnA−EaRT→103T=0     i.e  T→∞i.e  lnK=lnAat origin lnK=10=ln A→at  103T=5   ⇒ T=200K    lnK=0lnA=EaRT10=EaR200Ea = 2000 R J                = 2R kJ/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)