Question

Effect of temperature on rate of reaction and calculation of time for 80\% completion.

Hint:

Reaction rate increases with temperature due to increased kinetic energy and collision frequency.

Answer 1

Step 1: Effect of Temperature: - Higher temperature increases reaction rate by providing activation energy.
- Follows Arrhenius equation: \[ k = A e^{-E_a/RT} \] Step 2: First-Order Reaction Calculation: Given: 20\% completion in 10 minutes. \[ k = \frac{2.303}{t} \log \frac{[A]_0}{[A]} \] \[ k = \frac{2.303}{10} \log \frac{100}{80} \] \[ k = \frac{2.303}{10} \times 0.0969 = 0.0223 \text{ min}^{-1} \] For 80\% completion: \[ t = \frac{2.303}{k} \log \frac{100}{20} \] \[ t = \frac{2.303}{0.0223} \times 0.6989 \] \[ t = 72.2 \text{ minutes} \] Thus, the time required for 80\% completion is 72.2 minutes.