The rate of a reaction quadruples when temperature changes from 27°C to 57°C. Calculate the energy o

Q: What is NEET?

NEET is a competitive examination conducted in India. This question is from the 2024 NEET Chemistry paper.

Q: How can I prepare for NEET Chemistry?

To prepare for NEET Chemistry, practice previous year questions (PYQs), understand concepts thoroughly, and solve mock tests regularly. This 2024 question covers Chemical Kinetics topic.

Q: What is the difficulty level of this question?

This NEET 2024 Chemistry question has a medium difficulty level and is one of the most repeated questions.

Q: Where can I find more NEET previous year questions?

You can find more NEET previous year questions on AspirantMitraa. Browse by subject, topic, year, and difficulty level to practice effectively.

Question

The rate of a reaction quadruples when temperature changes from 27°C to 57°C. Calculate the energy of activation. (Given: R = 8.314 J K^{-1} mol^{-1}, log 4 = 0.6021): (1) 38.04 kJ/mol (2) 380.4 kJ/mol (3) 3.80 kJ/mol (4) 3804 kJ/mol

Accepted Answer

Correct Answer: a — 38.04 kJ/molStep-by-step Solution:The Arrhenius equation in logarithmic form is: log(k₂/k₁) = (Ea / (2.303R)) × (1/T₁ – 1/T₂).Given: k₂/k₁ = 4, T₁ = 27°C = 300 K, T₂ = 57°C = 330 K, R = 8.314 J K⁻¹ mol⁻¹, log 4 = 0.6021.Compute (1/T₁ – 1/T₂) = (1/300 – 1/330) = (330 – 300)/(300×330) = 30/99000 = 1/3300 = 0.00030303.Now, 0.6021 = (Ea / (2.303 × 8.314)) × (1/3300) = (Ea / 19.14) × (1/3300).Thus, Ea = 0.6021 × 19.14 × 3300 = 0.6021 × 63162 = 38040 J/mol = 38.04 kJ/mol.Hence, the activation energy is 38.04 kJ/mol.Key Concepts: Arrhenius equation, calculation of activation energy from rate constants at two temperatures, using logarithmic form, unit conversions (J to kJ).

The rate of a reaction quadruples when temperature changes from 27°C to 57°C. Calculate the energy of activation. (Given: R = 8.314 J K^{-1} mol^{-1}, log 4 = 0.6021): (1) 38.04 kJ/mol (2) 380.4 kJ/mol (3) 3.80 kJ/mol (4) 3804 kJ/mol

Master NEET with Our Test Series

More Questions from Chemical Kinetics

Frequently Asked Questions

The rate of a reaction quadruples when temperature changes from 27°C to 57°C. Calculate the energy of activation. (Given: R = 8.314 J K^{-1} mol^{-1}, log 4 = 0.6021): (1) 38.04 kJ/mol (2) 380.4 kJ/mol (3) 3.80 kJ/mol (4) 3804 kJ/mol

Master NEET with Our Test Series

More Questions from Chemical Kinetics

Frequently Asked Questions