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The temperature dependence of the rate c...

The temperature dependence of the rate constant k is expressed as `k = Ae^(-Ea//RT)`
When a plot between logk and 1/T is plotted we get the graph as shown.

What is the value of slopw in the graph?

A

`(E_(a))/(RT)`

B

`-(E_(a))/(2.303R)`

C

`-(E_(a))/(2.303 RT) log A`

D

`-(E_(a))/(2.303) (R )/(T)`

Text Solution

Verified by Experts

The correct Answer is:
B
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The rate of a reaction depends upon the temperature and is quantitatively expressed as k=Ae^((-Ea)/(RT) i) If a graph is plotted between log k and 1/T, write the expression for the slope of the reaction? ii) If at under different conditions E_(a1)andE_(a2) are the activation energy of two reactions. If E_(a1) = 40 J// "mol and " E_(a2) = 80 J//" mol" . Which of the two has a larger value of the rate constant?

Knowledge Check

  • For a reaction, the rate constant is expressed as k = Ae^(-40000//T) . The energy of the activation is

    A
    `40000 cal`
    B
    `88000 cal`
    C
    `80000 cal`
    D
    `8000 cal`

  • The temperature dependence of the rate of a chemical reaction is given by arrhenius equation, k = Ae^(-Ea//RT) . Which of the following graphs will be a striaght line?

    A
    In A vs 1/T
    B
    In A vs `E_(a)`
    C
    In K vs 1/T
    D
    In k vs `-E_(a) //R`

  • A graph plotted between log k vs (1)/(T) is represented by

    A
    B
    C
    D

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