Temperature, pressure, Kp and Le Chatelier’s principle
Week 12 · Chapter 3 (C): temperature and collision theory (activation energy), pressure and Kp, Le Chatelier’s principle, catalysts and light · 3 lessons
1
Temperature: collision theory and activation energy
Chemistry Sec 3 Term 1, Chapter 3: pp. 61–65
GoalUse collision theory to explain why heating speeds up a reaction, and keep the speed of a reaction apart from the position of its equilibrium.
New words
activation energy · the smallest energy that colliding molecules must have for the collision to lead to a reactionactivated molecules · molecules whose energy equals or exceeds the activation energyexothermic reaction · a reaction that gives out heat; an endothermic reaction takes heat in
Explanation
Collision theory says that molecules react only if they collide with enough energy to break bonds. The smallest energy that works is the activation energy, and molecules that have at least this energy are the activated molecules. At any temperature only a fraction of the molecules are activated. Heating makes the molecules move faster and raises this fraction, so more collisions succeed in each second and the rate rises. For many reactions the rate roughly doubles for each 10 °C rise: say “often”, never “always”. Two questions must be kept apart. Speed: heating makes a reaction faster in both directions, so equilibrium is reached sooner. Position: where the equilibrium settles depends on the heat of the forward reaction. If the forward reaction is exothermic, heating shifts the position backward and lowers the yield, and cooling does the opposite. A faster reaction is therefore not the same as a larger yield. On paper, 2NO₂ ⇌ N₂O₄ + heat shows this: cooling shifts the position toward colourless N₂O₄ and heating toward brown NO₂. The brown gas is poisonous and is never made at home.
Temperature
Share of molecules that are activated (invented)
Relative rate
20 °C
1 %
1
30 °C
2 %
2
40 °C
4 %
4
Worked examples
The doubling rule. A reaction takes 80 min at 20 °C. If its rate doubles for every 10 °C (often only roughly), it takes 80 ÷ 2 = 40 min at 30 °C and 80 ÷ 4 = 20 min at 40 °C. Going the other way, at 10 °C it takes 80 × 2 = 160 min. The rule gives a quick estimate, not an exact law.
Change
Both rates
Position moves toward
heating
increase
NO₂
cooling
decrease
N₂O₄
Speed against position. Take 2NO₂ ⇌ N₂O₄ + heat on paper. Heating: both the forward and backward reactions get faster, and the position shifts toward NO₂ (browner), because the backward direction absorbs heat. Cooling: both get slower, and the position shifts toward N₂O₄ (paler). The speed always changes the same way for both directions, while the position depends on the heat of the reaction.
ƒAn exothermic equilibrium
N₂ + 3H₂ ⇌ 2NH₃ , ΔH = −92 kJ
A compromise. N₂ + 3H₂ ⇌ 2NH₃ has ΔH = −92 kJ, so it is exothermic. At a low temperature the equilibrium holds more NH₃, so the yield is larger, but the reaction is very slow. At a high temperature it is fast, but the yield is smaller. So a plant does not use the lowest temperature: it uses a middle temperature and a catalyst (an extra fact, not in the book).
Class activity
Hurdle game, with a grown-up. Lay a thin book flat on the floor as a low hurdle. Roll a small ball at it ten times with a gentle push, and count how many times it gets over. Then roll it ten times with a firmer push and count again. See what happens: more of the harder pushes get over. The hurdle stands for the activation energy and a harder push for a higher temperature. Try a stack of two books as a higher hurdle and write what you notice. Keep the rolls gentle and the floor clear.
Practice
1
A reaction takes 60 min at 25 °C. If its rate doubles for every 10 °C, how long does it take at 45 °C?
From 25 °C to 45 °C is two steps of 10 °C, so the rate is 2 × 2 = 4 times larger and the time is 60 ÷ 4 = 15 min.
2
True or false, and correct if false: “Raising the temperature speeds up only the forward reaction.”
False. It speeds up the forward and the backward reactions.
3
N₂O₄ ⇌ 2NO₂ is endothermic as written. When the mixture is heated, does it become paler or browner, and why? (paper only)
Browner. The forward reaction absorbs heat, so heating shifts the position forward, toward brown NO₂.
4
In one sentence, tell a faster reaction from a larger yield.
A faster reaction reaches equilibrium sooner (rate); a larger yield means more product in the equilibrium mixture (position).