Question

# The activation energy of a reaction can be determined from the slope of which of the following graphs?

A
ln K vs T
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B
lnKTvsT
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C
ln K vs 1T
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D
TlnKvslT
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Solution

## The correct option is D ln K vs 1T By Arrhenius equation k=Ae−EaRT Where, Ea = energy of activation Applying log on both the side. ln k =lnA −EaRT....(i) Or logk=−Ea2.303RT+logA...(ii) Compare the above equation w.r.t. straight line equation of y =mx +c. Thus, if a plote on ln k vs 1T is a straight line, the validity of the equation is confirmed. Slope of the line =−EaR Thus, measuring the slope of the line, the value of E­a can be calculated.

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