Question:
The Arrhenius equation expressing the effect of temperature on the rate constant of a reaction is
The Arrhenius equation expressing the effect of temperature on the rate constant of a reaction is
Updated On: Jun 8, 2024
- $k=e^{-E / R T}$
- $k=\ln \frac{E}{R T}$
- $k=\frac{A . E}{R T}$
- $k=A . e^{-E_{a} / R T}$
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The Correct Option is D
Solution and Explanation
Arrhenius proposed a quantitative relationship between the rate constant and temperature as: $k=A e^{-E_{a} / R T}$
where, $A$ = frequency factor
$E_{a}=$ activation energy
where, $A$ = frequency factor
$E_{a}=$ activation energy
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Concepts Used:
Rate of a Chemical Reaction
The rate of a chemical reaction is defined as the change in concentration of any one of the reactants or products per unit time.
Consider the reaction A → B,
Rate of the reaction is given by,
Rate = −d[A]/ dt=+d[B]/ dt
Where, [A] → concentration of reactant A
[B] → concentration of product B
(-) A negative sign indicates a decrease in the concentration of A with time.
(+) A positive sign indicates an increase in the concentration of B with time.
Factors Determining the Rate of a Reaction:
There are certain factors that determine the rate of a reaction:
- Temperature
- Catalyst
- Reactant Concentration
- Chemical nature of Reactant
- Reactant Subdivision rate