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Physical/Natural Sciences Research and Historical Research

Variation of ...

Question

Variation of rate constant (k) with temperature (T) according to Arrhenius theory is: (A = pre-exponential factor)

A

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B

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C

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D

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Solution

The correct option is A

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Q. Which of the following is correct according to Arrhenius Theory?
where,

k

: Rate constant

E_{a}

: Activation energy (in J/mol)

R

T

: Temperature of reaction (in Kelvin(K))

A

: Arrhenius factor or frequency factor or pre-exponential factor

Q. The rate constant of a reaction becomes equal to the pre-exponential factor at temperature.

Q. At what temperature, rate constant is equal to pre-exponential factor ?

Q. Arrhenius studied the effect of temperature on the rate of a reaction and postulated that rate constant varies with temperature exponentially as

k = A e^{- \frac{E_{a}}{R T}}

This method is generally used for finding the activation energy of a reaction. Keeping temperature constant, the effect of catalyst on the activation energy has also been studied.
The pre-exponential factor in the Arrhenius equation of a first order reaction has the unit:

Q. Rate constant varies with temperature by the equation

l o g_{10} K = 5 - 2000 / T

. We can conclude that

(R = 8.314 J m o l^{- 1} K^{- 1})

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