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WBJEE · Chemistry · Chemical Kinetics

An egg takes 4.0 minutes to boil at sea level where the boiling point of water is \(T_1 K\), where as it takes 8.0 minutes to boil on a mountain top where the boiling point of water is \(\mathrm{T}_2 \mathrm{~K}\). The activation energy for the reaction that takes place during the boiling of egg is

  1. A \(0.693 \frac{\mathrm{~T}_1-\mathrm{T}_2}{\mathrm{~T}_1 \mathrm{~T}_2}\)
  2. B \(0.693 \frac{\mathrm{~T}_2-\mathrm{T}_1}{\mathrm{~T}_1 \mathrm{~T}_2}\)
  3. C \(0.693 \mathrm{R} \frac{\mathrm{T}_1 \mathrm{~T}_2}{\mathrm{~T}_2-\mathrm{T}_1}\)
  4. D \(0.693 R \frac{T_1 T_2}{T_1-T_2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(0.693 R \frac{T_1 T_2}{T_1-T_2}\)

Step-by-step Solution

Detailed explanation

As per Arrhenius Equation \(\ln \left(\frac{\mathrm{K}_2}{\mathrm{~K}_1}\right)=\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{R}}\left[\frac{\mathrm{~T}_2-\mathrm{T}_1}{\mathrm{~T}_1 \mathrm{~T}_2}\right]\) According to question…