Rate of reaction

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Measuring Rates of Reaction

  • The rate of reaction can be measured by how fast a reactant is used up or how fast a product is made.
  • Rate = amount of reactant used / time taken OR Rate = amount of product made / time taken.
  • Time is usually measured in seconds; the amount of reactant or product may be measured in grams (g) or volume (cm³ or dm³).
  • The units of rate depend on the measurement: g/s for mass, cm³/s or dm³/s for volume.
  • Several measurements are taken during a reaction to provide sufficient data to establish a conclusion.
  • Measuring the amount of product forming is usually easier than measuring the amount of reactant being used up.

Methods for Measuring Rate

  • Mass loss: when a gas is produced, it escapes and the mass decreases; the reaction is carried out in a flask on a balance and mass is recorded over time.
  • Cotton wool can be placed in the neck of the flask to allow gas to escape while stopping any materials from being ejected.
  • The gas must be sufficiently dense for the mass change to be measurable; carbon dioxide (Mr = 44) is suitable but hydrogen (Mr = 2) is not.
  • Gas collection: the gas produced is trapped and its volume measured over time, using an inverted measuring cylinder (downward displacement of water) or a gas syringe.
  • Precipitation: a precipitate clouds the reaction mixture; the time for a cross to disappear from view is measured.
  • The precipitation method is subjective because different people may not agree on the exact moment the cross disappears, and it produces only one data point per experiment so a rate graph cannot be plotted.

Reaction Rates Using Moles

  • Rate of reaction can be expressed in mol/s; there is no direct way to measure moles, so first calculate the rate using the rate formula triangle.
  • To convert mass per unit time to moles per unit time: moles per unit time = mass per unit time / molar mass of the substance.
  • To convert volume per unit time to moles per unit time: moles per unit time = volume per unit time / molar gas volume (24 000 cm³/mol).
  • For example, if 6.0 g of CO₂ (Mr = 44.0) is lost in 150 s, moles = 6.0 / 44.0 = 0.137 mol, so rate = 0.137 / 150 = 9.1 × 10⁻⁴ mol/s.
  • If 15 cm³ of gas is collected in 360 s, moles = 15 / 24000 = 6.25 × 10⁻⁴ mol, so rate = 6.25 × 10⁻⁴ / 360 = 1.7 × 10⁻⁶ mol/s.

Rate Graphs

  • Time is normally plotted on the x-axis, with the concentration of reactant or product on the y-axis.
  • If the relationship is directly proportional (e.g. doubling concentration doubles rate), the graph is a straight line through the origin.
  • The gradient of the line equals the initial rate of reaction; a steeper gradient means a faster rate.
  • An initial rate graph for a product shows a straight line with positive correlation starting from the origin; for a reactant it shows a straight line with negative correlation starting from the y-axis.
  • Plotting a graph until completion shows the rate slowing as reactants are used up; the line becomes less steep and eventually horizontal, indicating the reaction has finished.
  • The mean rate of reaction between two points is found by calculating the total change in y divided by the total time taken.

Graph showing the effect of using a catalyst on rate of reaction

Graph showing the effect of using a catalyst on rate of reaction

Calculating Gradients

  • For a curved graph, the rate of reaction is different at each point, so a tangent must be drawn to calculate the rate at a particular point.
  • Place a ruler on the point being studied and adjust its position so the space on either side of the point between the ruler and curve are equal.
  • Use a ruler and pencil to draw a perfectly straight line that just touches the curve at the chosen point, keeping the curve visible.
  • Extend the tangent as far as is convenient to decrease the uncertainty in the calculation.
  • The gradient at that point is: gradient = change in product / change in time (rise over run).
  • For example, if a tangent at 0 s shows 72 cm³ of product in 20 s, initial rate = 72 / 20 = 3.6 cm³/s.

Factors Affecting Rate

  • The rate of reaction is affected by: concentration of reactants in solution or pressure of reacting gases, temperature, surface area of solid reactants, and the presence of a catalyst.
  • Increasing concentration or pressure increases the rate: the graph has a steeper gradient at the start, becomes horizontal sooner, but forms the same amount of product.
  • Increasing temperature increases the rate: the graph has a steeper gradient at the start, becomes horizontal sooner, but forms the same amount of product.
  • Increasing surface area (or decreasing particle size) increases the rate: the graph has a steeper gradient at the start, becomes horizontal sooner, but forms the same amount of product.
  • Adding a catalyst increases the rate: the graph has a steeper gradient at the start, becomes horizontal sooner, but forms the same amount of product.
  • A higher rate of reaction is of economic interest as it implies a higher rate of production and a more efficient and sustainable process.

Required Practical: Investigating Concentration

  • Part 5a – Measuring turbidity: investigate the effect of changing concentration on the rate of reaction by measuring the formation of a precipitate.
  • Method: measure 50 cm³ of sodium thiosulfate solution into a conical flask, place the flask on a white paper with a cross, add 10 cm³ of dilute hydrochloric acid, start the stopwatch, and stop when the cross can no longer be seen.
  • The reaction produces solid sulfur which precipitates, turning the solution cloudy: Na₂S₂O₃ + 2HCl → 2NaCl + S + SO₂ + H₂O.
  • Repeat using different concentrations of sodium thiosulfate solution (mix with water to dilute) and repeat each experiment three times.
  • Part 5b – Measuring gas volume: investigate the effect of changing concentration on the rate of reaction by measuring the volume of gas given off.
  • Method: measure 50 cm³ of 1.0 mol/dm³ sulfuric acid into a flask, add magnesium ribbon, connect to gas collection equipment, start the stopwatch, and record the volume of gas every 10 seconds; repeat with 1.5 mol/dm³ sulfuric acid.
  • Magnesium and sulfuric acid react immediately, so the flask must be connected to the gas syringe straight after adding the magnesium to avoid gas escaping.

Collision Theory and Activation Energy

  • Chemical reactions occur only when reactant particles collide with sufficient energy to react; the minimum amount of energy needed is called the activation energy.
  • A successful collision occurs when particles collide with energy greater than or equal to the activation energy, leading to a rearrangement of atoms to form products.
  • An unsuccessful collision occurs when particles collide with less energy than the activation energy; they bounce off each other and remain unchanged.
  • The rate of reaction depends on the number of successful collisions per unit time.
  • Factors that increase the number of successful collisions: more particles per unit volume, greater frequency of collisions, greater kinetic energy of particles, and lower activation energy.
  • Increasing concentration or pressure: more particles in a given volume (or same particles in a smaller volume) causes more frequent successful collisions.
  • Increasing temperature: particles have more kinetic energy, causing more frequent and more energetic collisions; a small increase in temperature causes a large increase in rate (roughly doubles for every 10 °C rise).
  • Increasing surface area: a greater surface area of particles is exposed to the other reactant, causing more frequent successful collisions.

A successful collision

A successful collision

Catalysts

  • A catalyst speeds up the rate of a reaction without itself being altered or consumed; the mass of a catalyst at the beginning and end of a reaction is the same.
  • Catalysts provide an alternative pathway for the reaction that has a lower activation energy.
  • This means a higher proportion of reactant particles have energy greater than the activation energy, resulting in more successful collisions per second.
  • Catalysts do not form part of the chemical equation but are sometimes shown above or below the reaction arrow.
  • Iron is used as a catalyst in the Haber Process for the production of ammonia; iron beads increase the surface area available for catalysis.
  • Catalysts work by attracting reactant molecules onto their surface, providing an alternate reaction pathway of lower energy.
  • Catalysis is important commercially because catalysts increase the rate of reaction (and production rate) and reduce energy costs.
  • Transition metals are widely used as catalysts because they have variable oxidation states, allowing them to readily donate and accept electrons; enzymes act as catalysts in biological systems.

How a catalyst affects rate

How a catalyst affects rate

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練習題

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  1. 1.Which piece of equipment is most suitable to measure the volume of hydrochloric acid?

    Easy
    • ABeaker
    • BMeasuring cylinder
    • CConical flask
    • DTest tube
  2. 2.In an experiment where calcium carbonate reacts with hydrochloric acid and the volume of gas produced is measured every 30 seconds, which is the dependent variable?

    Easy
    • AVolume of gas collected
    • BConcentration of hydrochloric acid
    • CMass of calcium carbonate
    • DTime
  3. 3.A student investigates the rate of reaction between calcium carbonate and hydrochloric acid. They measure the volume of gas produced every 30 seconds. Which of the following would be a suitable control variable?

    Medium
    • AVolume of gas produced
    • BTime
    • CConcentration of hydrochloric acid
    • DRate of reaction
  4. 4.In the reaction between calcium carbonate and hydrochloric acid, what is the gas produced?

    Medium
    • AHydrogen
    • BOxygen
    • CCarbon dioxide
    • DSulfur dioxide
  5. 5.A student reacts calcium carbonate with hydrochloric acid. They plot a graph of volume of gas produced against time. On the same axes, they sketch a curve for a higher concentration of acid. Which of the following describes the new curve?

    Medium
    • ASteeper gradient and higher final volume
    • BSteeper gradient and same final volume
    • CLess steep gradient and same final volume
    • DSame gradient and higher final volume
  6. 6.In the reaction between sodium thiosulfate and hydrochloric acid, what causes the solution to turn cloudy?

    Easy
    • ASulfur dioxide gas
    • BSulfur precipitate
    • CSodium chloride
    • DWater
  7. 7.At 30°C, 0.46 g of sulfur was produced in 58 seconds. Calculate the mean rate of reaction in g/s to 2 significant figures.

    Medium
    • A0.0079 g/s
    • B0.0080 g/s
    • C0.0078 g/s
    • D0.008 g/s
  8. 8.As the temperature of hydrochloric acid increases, the time taken for the cross to disappear decreases. Which word completes the sentence: The rate of reaction ________ as the temperature increases.

    Medium
    • Aincreases
    • Bdecreases
    • Cremains the same
    • Ddoubles

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