Question:

The slope of Arrhenius Plot (ln k v/s \(\frac{1}{T}\)) of first order reaction is −5×103 K. The value of Ea of the reaction is. Choose the correct option for your answer. [Given R=8.314 JK−1mol−1 ]

Updated On: May 5, 2024
  • −83 kJ mol−1

  • 41.5 kJ mol−1

  • 83.0 kJ mol−1

  • 166 kJ mol−1

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The Correct Option is B

Solution and Explanation

The correct answer is option (B) : 41.5 kJ mol−1

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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:

  1. Temperature
  2. Catalyst
  3. Reactant Concentration
  4. Chemical nature of Reactant
  5. Reactant Subdivision rate