A manufacturer considers two separate modifications to speed up a gas-phase reaction…

CHEMISTRY · Single correct · A Level · Chemistry · Kinetics · Kinetics

Problem

A manufacturer considers two separate modifications to speed up a gas-phase reaction whose uncatalyzed activation energy is 150 kJ mol−1150\,\text{kJ mol}^{-1} at 500 K500\,\text{K}. • Modification I: raise the temperature from 500 K500\,\text{K} to 540 K540\,\text{K}. • Modification II: keep the temperature at 500 K500\,\text{K} but lower the activation energy to 130 kJ mol−1130\,\text{kJ mol}^{-1}. Which statement correctly compares how each modification affects the fraction of molecules able to react? (a) Modification I produces the larger fractional increase because increasing temperature raises the kinetic energy of every molecule, whereas a catalyst only helps molecules at the transition state. (b) Both modifications have nearly identical effects because a 40 K40\,\text{K} temperature rise and a 20 kJ mol−120\,\text{kJ mol}^{-1} drop in EaE_a each change the exponential term by about the same amount. (c) Modification II produces the larger fractional increase because shifting the threshold left captures more of the high-energy tail. (d) Both modifications will approximately double the reactive fraction since rates typically double with either a small temperature rise or the addition of a catalyst.

Related theory

Browse the problem library