MEDIUMMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryChemical kineticsArrhenius Theory

The temperature dependence of the rate constant k is expressed as a E RT k Ae When a plot between log k and 1/T is plotted we get the graph as shown. What is the value of slope in the graph? (a) a E RT (b) a E 2.303R (c) a E logA 2.303 RT (d) a E R 2.303 T

Answer
B
Explanation

a E RT k Ae Taking ln on both sides CHEMICAL KINETICS 24 ln ln a E k A RT 2.303log 2.303log log log 2.303 >> a a E k A RT E k A RT which can be represented in the form of y mx c Where logk is on y-axis 1 T is on x-axis. Thus, slope = -ve with value of 2.303 a E R y-intercept = log A thus, slope = 2.303 a E R Activation Energy and its Calculation, Collision Theory of Bimolecular Gaseous Reactions

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