Equilibrium in a closed vessel and the rate of reaction
الأسبوع 10 · الباب الثالث «الاتزان الكيميائي» (١): مقدمة الباب والاتزان الفيزيائي (التبخر والتكثف) والتفاعلات التامة والعكسية والاتزان الكيميائي حالة ديناميكية ومعدل التفاعل وما يتوقف عليه وطبيعة المواد المتفاعلة · 3 دروس
3
Rate of reaction and what it depends on
Chemistry Sec 3 Term 1, Chapter 3: pp. 53–58
GoalCalculate an average rate from concentration and time, and name the six factors that change the rate of a reaction.
New words
rate of reaction · the change in concentration of a reactant or product per unit time, in mol/(L·s)average rate · the change in concentration divided by the time taken for that changecatalyst · a substance that changes the rate of a reaction without being used up
Explanation
Reactions differ hugely in speed. A silver chloride precipitate forms at once, soap-making from oil and alkali is slow, and the rusting of iron takes months. The rate of reaction is the change in concentration per unit time: average rate = change in concentration ÷ time, in mol/(L·s) or mol/(L·min). For a reactant the concentration falls, so we use the size of the change and the rate is positive. Six factors change the rate: the nature of the reactants, their concentration, the temperature, the pressure (for gases), a catalyst, and light. As a rule of thumb, reactions between ions are very fast and reactions between covalent substances, such as organic ones, are slow. On a concentration–time graph the curve of a reactant is steepest at the start, because the concentration is highest, and it flattens as the reaction slows. In a reversible reaction it becomes flat when equilibrium is reached. Surface area, which makes powder dissolve faster than a lump, is an extra idea outside the book’s list of six.
Factor
Example of the idea
nature of reactants
ions react far faster than covalent molecules
concentration
more particles in each litre, more collisions
temperature
a fridge slows the spoiling of food
pressure
matters for gases
catalyst
changes the rate and is not used up
light
silver chloride darkens in sunlight
Worked examples
ƒAverage rate
rate = (0.80 − 0.50) ÷ 30 = 0.010 mol/(L·s)
An average rate. A reactant falls from 0.80 mol/L to 0.50 mol/L in 30 s. The change is 0.80 − 0.50 = 0.30 mol/L, so the rate is 0.30 ÷ 30 = 0.010 mol/(L·s).
Changing units. A reactant falls from 0.60 mol/L to 0.30 mol/L in 2 min. The rate is 0.30 ÷ 2 = 0.15 mol/(L·min). To change to seconds, divide by 60: 0.15 ÷ 60 = 0.0025 mol/(L·s), which is 2.5 × 10⁻³ mol/(L·s).
Read a graph. The concentration of reactant A (invented data) is 1.00, 0.64, 0.46, 0.38, 0.34, 0.34, 0.34 mol/L at 0, 10, 20, 30, 40, 50 and 60 s. The rate in the first 10 s is 0.36 ÷ 10 = 0.036 mol/(L·s); in the next 10 s it is 0.018; then 0.008 and 0.004. From 40 s the curve is flat and the rate is zero: a reversible reaction has reached equilibrium, with A not used up.
Class activity
Dissolving race, with a grown-up. Put two sugar cubes in two clear cups of the same amount of cool tap water. Crush one cube with a spoon first. Stir both the same number of times and see which cup clears first. Next time, try the same granulated sugar in cool and in warm tap water (not hot, about 40 °C at most). See what happens and write which factor you changed each time; surface area is an extra idea, and temperature is one of the book’s six. No tasting, wash the cups.
Practice
1
A reactant falls from 1.20 mol/L to 0.90 mol/L in 20 s. Find the average rate.
(1.20 − 0.90) ÷ 20 = 0.30 ÷ 20 = 0.015 mol/(L·s).
2
A reactant falls from 0.90 mol/L to 0.30 mol/L in 5 min. Give the rate in mol/(L·min) and in mol/(L·s).
Using the invented graph data of this lesson, between which two times is the rate the fastest, and why?
Between 0 s and 10 s (0.036 mol/(L·s)), because the concentration of A is highest at the start.
4
Name the factor of the six that explains each: (a) a fridge keeps milk fresh longer; (b) silver chloride darkens in sunlight; (c) ionic reactions in water are very fast.
(a) temperature; (b) light; (c) nature of the reactants.