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ChemistryHardNumerical2024 · 29 Jan Shift 1

Q59.For a reaction taking place in three steps at same temperature, overall rate constant K = K1K2 . If Ea1, Ea2 and K3 Ea3 are 40, 50 and 60 kJ / mol respectively, the overall Ea is _________ kJ / mol .

What This Question Tests

This question requires combining rate constants for a multi-step reaction to find the overall activation energy, demanding an understanding of the Arrhenius equation for complex reactions.

Concepts Tested

Activation energy (Ea)Arrhenius equationOverall rate constant for multi-step reactionsLogarithmic properties for rate constants

Formulas Used

K = A * exp(-Ea/RT)

E_overall = Σ(n_i * Ea_i) (for product K)

📚 NCERT Sections This Tests

3.23The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1

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3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.

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3.22 The rate constant for the decomposition of N2O5 at various temperatures is given below: T/°C 0 20 40 60 80 105 × k/s-1 0.0787 1.70 25.7 178 2140 Draw a graph between ln k and 1/T and calculate the values of A and Ea. Predict the rate constant at 30° and 50°C.

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3.26 The decomposition of hydrocarbon follows the equation k = (4.5 × 1011s–1) e-28000K/T Calculate Ea. 87 Chemical Kinetics Reprint 2025-26

📋 Question Details

Chapter
Chemical Kinetics
Topic
Activation energy of multi-step reactions
Year
2024
Shift
29 Jan Shift 1
Q Number
Q59
Type
Numerical
NCERT Ref
Class 12 Chemistry Ch 4: Chemical Kinetics
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