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NEET CHEMISTRYChemical KineticsEasy

Question

The temperature dependence of the rate constant (kk) of a chemical reaction is written in terms of the Arrhenius equation, k=AeE/RTk = A e^{-E^*/RT}. The activation energy (EE^*) of the reaction can be calculated by plotting:

A

kk vs TT

B

kk vs 1logT\frac{1}{\log T}

C

logk\log k vs 1T\frac{1}{T}

D

logk\log k vs 1logT\frac{1}{\log T}

Step-by-Step Solution

According to the Arrhenius equation, the rate constant kk is given by k=AeE/RTk = A e^{-E^*/RT}. Taking the natural logarithm on both sides yields lnk=lnAERT\ln k = \ln A - \frac{E^*}{RT}. Converting this to base-10 logarithm gives logk=logAE2.303RT\log k = \log A - \frac{E^*}{2.303RT}. This is the equation of a straight line (y=mx+cy = mx + c), where y=logky = \log k and x=1Tx = \frac{1}{T}. Therefore, a plot of logk\log k versus 1T\frac{1}{T} gives a straight line with a slope of E2.303R-\frac{E^*}{2.303R}. The activation energy (EE^*) can be calculated from the value of this slope.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Chemical Kinetics. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYChemical Kineticstemperaturedependenceconstantchemicalreaction

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