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Question: The temperature dependence of the rate constant k is expressed as \(k = Ae^{- E_{a}/RT}\) When a pl...

The temperature dependence of the rate constant k is expressed as k=AeEa/RTk = Ae^{- E_{a}/RT}

When a plot between log k and 1/T1/Tis plotted we get the graph as shown .

What is the value of slope in the graph?

A

EaRT\frac{E_{a}}{RT}

B

Ea2.303R- \frac{E_{a}}{2.303R}

C

Ea2.303RTlogA- \frac{E_{a}}{2.303RT}\log A

D

Ea2.303RT- \frac{E_{a}}{2.303}\frac{R}{T}

Answer

Ea2.303R- \frac{E_{a}}{2.303R}

Explanation

Solution

logk=logAEa2.303R1T\log k = \log A - \frac{E_{a}}{2.303R}\frac{1}{T}

logk=Ea2.303RT+logA\log k = - \frac{E_{a}}{2.303RT} + \log A

Slope=Ea2.303RSlope = - \frac{E_{a}}{2.303R}