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Answer key · Unit 11

Organic chemistry.

Each lesson’s practice questions, their correct answers and the mistakes they spot. Answers read off the Scene use the same setting the learner sees.

Lesson 1 of 4 · About 20 minutes

Hydrocarbons

Why carbon builds chains, how to count the hydrogens of an alkane, what the first alkanes are called, and what forms when they burn.

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The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    Chains of carbon

    Practice · Choose

    Question

    How many covalent bonds does each carbon atom in the chain make?

    Correct answer

    • Correct Four

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    6
    End group
    –H (alkane)
    Compare boiling points
    One molecule

    Choices

    Shown in a random order.

    • Correct Four

    • Wrong Two

      Feedback

      Two is oxygen’s number of bonds. Carbon has four outer electrons, and it shares each of them.

    • Wrong Six

      Feedback

      Carbon has six electrons in all, but only four of them are outer electrons that take part in bonds.

    Feedback for a right answer

    Carbon has four outer electrons, and each takes part in one bond. The four bonds point to the corners of a tetrahedron, about 109.5°109.5^\circ⁠ apart, which is why a carbon chain zigzags instead of running straight.

    Worked solution

    1. Carbon’s atomic number is 6: 2 electrons in the first shell and 4 in the outer shell.
    2. To complete an octet it needs 4 more, which it gets by sharing.
    3. So carbon makes 4 covalent bonds.
  2. Step 2 of 5

    Open this step

    Counting hydrogens

    Practice · Calculate

    Question

    The Scene shows hexane: a chain of 6 carbons, all single-bonded. How many hydrogen atoms does the molecule have?

    Correct answer

    14 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    6fixed
    End group
    –H (alkane)fixed
    Compare boiling points
    One molecule
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Hydrogen atoms in the molecule/nodes/chain/outputs/hydrogens

    Wrong answers it recognises

    • 12 ± 0.1

      Misconception: Writes an alkane as CₙH₂ₙ, forgetting the extra hydrogen at each end of the chain.

      Feedback from the catalogue

      In an alkane each carbon in the middle of the chain has two hydrogens, but the two carbons at the ends have one more each, since they have only one carbon neighbour. So the formula is CnH2n+2\mathrm{C_nH_{2n+2}}⁠: hexane has 14 hydrogens, not 12. CnH2n\mathrm{C_nH_{2n}}⁠ is the formula of alkenes, which have a double bond.

    Feedback for a right answer

    14: C6H14\mathrm{C_6H_{14}}⁠. The four middle carbons carry two hydrogens each, and the two end carbons three each: 4×2+2×3=144 \times 2 + 2 \times 3 = 14⁠.

    Hint

    Each carbon has four bonds. How many of them go to neighbouring carbons?

    Worked solution

    1. An alkane’s formula is CnH2n+2\mathrm{C_nH_{2n+2}}⁠.
    2. With n=6n = 6⁠: 2×6+2=142 \times 6 + 2 = 14⁠.
    3. Check: 4 inner carbons × 2 hydrogens, plus 2 end carbons × 3 hydrogens, 8+6=148 + 6 = 14⁠.

    If you answered 12, you left out the extra hydrogen at each end.

  3. Step 3 of 5

    Open this step

    The formula

    Practice · Reach the target

    Question

    End group is fixed at alkane. Change Carbon atoms until the molecule has exactly 8 hydrogen atoms, then press Check.

    Goal

    • 8 ± 0.1

      At the start of the step: 4

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    1
    End group
    –H (alkane)fixed
    Compare boiling points
    One molecule
    Read from the Scene at
    Hydrogen atoms in the molecule/nodes/chain/outputs/hydrogens

    One setting that reaches it

    Carbon atoms
    3

    Feedback for a right answer

    Three carbons: C3H8\mathrm{C_3H_8}⁠, propane, the gas in bottled cooking gas.

    Feedback for a wrong answer

    Not yet. Solve 2n+2=82n + 2 = 8⁠.

    Hint

    2n+2=82n + 2 = 8⁠.

    Worked solution

    1. In an alkane the number of hydrogens is 2n+22n + 2⁠.
    2. 2n+2=82n + 2 = 8⁠, so 2n=62n = 6⁠ and n=3n = 3⁠.
    3. Set Carbon atoms to 3: propane.
  4. Step 4 of 5

    Open this step

    Names

    Practice · Choose

    Question

    What is the name of the alkane C4H10\mathrm{C_4H_{10}}⁠, the gas in a lighter?

    Correct answer

    • Correct Butane

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    4
    End group
    –H (alkane)
    Compare boiling points
    One molecule

    Choices

    Shown in a random order.

    Feedback for a right answer

    The names are a prefix that counts carbons plus the alkanes’ ending -ane: meth- (1), eth- (2), prop- (3), but- (4), and from five on the Greek numbers: pent-, hex-, hept-, oct-.

    Worked solution

    1. 4 carbons: the prefix but-.
    2. C4H10\mathrm{C_4H_{10}}⁠ fits CnH2n+2\mathrm{C_nH_{2n+2}}⁠, so it is an alkane: the ending -ane.
    3. The name: butane.
  5. Step 5 of 5

    Open this step

    Fuels

    Practice · Choose

    Question

    What forms when methane, CH4\mathrm{CH_4}⁠, burns in air with plenty of oxygen?

    Correct answer

    • Correct Carbon dioxide and water

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    1
    End group
    –H (alkane)
    Compare boiling points
    One molecule

    Choices

    Shown in a random order.

    • Correct Carbon dioxide and water

    • Wrong Nothing: the gas burns away and is gone

      Feedback

      Burning does not destroy atoms: the methane’s carbon and hydrogen combine with oxygen, and the products are colourless gases that are hard to see.

    • Wrong Carbon and hydrogen

      Feedback

      Methane does not split into its elements; it reacts with oxygen. Soot, which is carbon, forms only when oxygen runs short.

    Feedback for a right answer

    CH4+2O2→CO2+2H2O\mathrm{CH_4} + 2\mathrm{O_2} \rightarrow \mathrm{CO_2} + 2\mathrm{H_2O}⁠. Every carbon becomes CO2\mathrm{CO_2}⁠ and every two hydrogens a water molecule. That is why hydrocarbons are fuels: the reaction releases a lot of energy.

    Worked solution

    1. Methane is made of carbon and hydrogen only.
    2. In complete combustion every atom combines with oxygen: carbon to CO2\mathrm{CO_2}⁠ and hydrogen to H2O\mathrm{H_2O}⁠.
    3. Balanced: CH4+2O2→CO2+2H2O\mathrm{CH_4} + 2\mathrm{O_2} \rightarrow \mathrm{CO_2} + 2\mathrm{H_2O}⁠.

Lesson 2 of 4 · About 25 minutes

Homologous series

A family of compounds, each one CH₂ longer than the last: how the molar mass climbs in equal steps, why the boiling point climbs too, and which alkane is the first to be liquid at room temperature.

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The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    A series

    Practice · Calculate

    Question

    What is the molar mass of octane, the alkane with 8 carbons? C=12.01\mathrm{C} = 12.01⁠, H=1.008\mathrm{H} = 1.008⁠.

    Correct answer

    114.2 g/mol ± 0.2 g/mol

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    8fixed
    End group
    –H (alkane)fixed
    Compare boiling points
    One molecule
    Accepted within
    ± 0.2 g/mol
    Computed from the Scene at this step’s setting
    Molar mass of the molecule/nodes/chain/outputs/molarMass

    Any unit of the same quantity is accepted; it is converted before checking.

    Wrong answers it recognises

    • 112.2 g/mol ± 0.2 g/mol

      Misconception: Writes an alkane as CₙH₂ₙ, forgetting the extra hydrogen at each end of the chain.

      Feedback from the catalogue

      In an alkane each carbon in the middle of the chain has two hydrogens, but the two carbons at the ends have one more each, since they have only one carbon neighbour. So the formula is CnH2n+2\mathrm{C_nH_{2n+2}}⁠: hexane has 14 hydrogens, not 12. CnH2n\mathrm{C_nH_{2n}}⁠ is the formula of alkenes, which have a double bond.

    Feedback for a right answer

    C8H18\mathrm{C_8H_{18}}⁠: 8×12.01+18×1.008=114.2 g/mol8 \times 12.01 + 18 \times 1.008 = 114.2\ \mathrm{g/mol}⁠. Octane is one of the main components of petrol.

    Hint

    The formula first: C8H?\mathrm{C_8H_{?}}⁠.

    Worked solution

    1. The formula: CnH2n+2\mathrm{C_nH_{2n+2}}⁠ with n=8n = 8⁠, that is C8H18\mathrm{C_8H_{18}}⁠.
    2. Carbon: 8×12.01=96.088 \times 12.01 = 96.08⁠.
    3. Hydrogen: 18×1.008=18.1418 \times 1.008 = 18.14⁠.
    4. Total: 96.08+18.14=114.296.08 + 18.14 = 114.2⁠.

    If you got 112.2, you counted only 16 hydrogens.

  2. Step 2 of 5

    Open this step

    One step

    Practice · Calculate

    Question

    Each member of the alkanes’ homologous series is one CH2\mathrm{CH_2}⁠ group longer than the one before. By how much does the molar mass grow at each step? C=12.01\mathrm{C} = 12.01⁠, H=1.008\mathrm{H} = 1.008⁠.

    Correct answer

    14.03 g/mol ± 0.05 g/mol

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    7
    End group
    –H (alkane)
    Compare boiling points
    One molecule
    Accepted within
    ± 0.05 g/mol
    A fixed value in the question

    Any unit of the same quantity is accepted; it is converted before checking.

    Wrong answers it recognises

    Feedback for a right answer

    12.01+2×1.008=14.0312.01 + 2 \times 1.008 = 14.03⁠. In the Scene: octane is 114.23 and heptane 100.20, a difference of 14.03.

    Worked solution

    1. The step is CH2\mathrm{CH_2}⁠: one carbon and two hydrogens.
    2. 12.01+2×1.008=14.0312.01 + 2 \times 1.008 = 14.03⁠.
    3. The answer: 14.03 g/mol.
  3. Step 3 of 5

    Open this step

    Boiling points

    Practice · Predict, then look

    Question

    Methane, CH4\mathrm{CH_4}⁠, boils at −162 °C. What happens to the boiling point as the chain grows, carbon by carbon?

    Correct answer

    • Correct It rises with every carbon

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    1
    End group
    –H (alkane)
    Compare boiling points
    One moleculefixed

    Choices

    • Correct It rises with every carbon

    • Wrong It falls: a big molecule is easier to break up

      Misconception: Thinks boiling breaks the covalent bonds inside the molecules.

      Feedback from the catalogue

      When a liquid boils, the molecules come apart from each other, but each molecule stays whole. The covalent bonds inside a molecule are tens of times stronger than the pull between molecules, and breaking them takes hundreds of degrees more. Hexane vapour is whole hexane molecules. The boiling point measures the attraction between molecules.

    • Wrong It hardly changes: they are all hydrocarbons

      Feedback

      They are alike in their chemical reactions, but not in their physical properties: those change step by step along the series.

    Once the prediction is locked in, the Scene changes

    Compare boiling points
    Boiling pointsfixed

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    From −162 °C for methane up to 216 °C for dodecane, with 12 carbons. Each CH2\mathrm{CH_2}⁠ adds points of contact with neighbouring molecules, and the attraction between them grows.

    Worked solution

    1. To boil, molecules have to come apart from each other.
    2. The longer the chain, the more places it touches its neighbours, and the stronger the attraction between them.
    3. So more energy, a higher temperature, is needed to pull them apart.
  4. Step 4 of 5

    Open this step

    Side by side

    Practice · Choose

    Question

    With Compare boiling points at Side by side, a neighbouring molecule appears, and the hydrogens touching it light up. Why does octane boil higher than butane?

    Correct answer

    • Correct A longer molecule has more points of contact with its neighbours, so it is pulled to them more strongly

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    8
    End group
    –H (alkane)
    Compare boiling points
    Side by side

    Choices

    Shown in a random order.

    • Correct A longer molecule has more points of contact with its neighbours, so it is pulled to them more strongly

    • Wrong A longer chain has more covalent bonds to break

      Misconception: Thinks boiling breaks the covalent bonds inside the molecules.

      Feedback from the catalogue

      When a liquid boils, the molecules come apart from each other, but each molecule stays whole. The covalent bonds inside a molecule are tens of times stronger than the pull between molecules, and breaking them takes hundreds of degrees more. Hexane vapour is whole hexane molecules. The boiling point measures the attraction between molecules.

    • Wrong The long molecules tangle like threads and get tied together by bonds

      Feedback

      Chains of 8 carbons are too short to tangle, and there are no covalent bonds between them. The attraction between them is weak, but it grows with every point of contact.

    Feedback for a right answer

    Between alkane molecules act van der Waals forces: a weak pull between momentary charges, working only where the molecules come close. The more points of contact, the bigger the total. Octane boils at 126 °C, and butane already at −0.5 °C.

    Worked solution

    1. In boiling the molecules stay whole; only the attraction between them is overcome.
    2. The attraction between alkanes is van der Waals forces, acting at every point of contact.
    3. Octane has almost twice as many points of contact as butane, so separating its molecules takes more energy.
  5. Step 5 of 5

    Open this step

    At room temperature

    Practice · Reach the target

    Question

    Methane, ethane, propane and butane are gases at room temperature. End group is fixed at alkane. Change Carbon atoms until the sample beside the molecule is liquid at 20 °C with a boiling point below 40 °C, then press Check.

    Goal

    • 1 ± 0.1

      At the start of the step: 0

    • 298.1 K ± 15 K

      At the start of the step: 111.6 K

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    1
    End group
    –H (alkane)fixed
    Compare boiling points
    One molecule
    Read from the Scene at
    At 20 °C: 0 gas, 1 liquid, 2 solid/nodes/chain/outputs/state
    Read from the Scene at
    Boiling point at 1 atm/nodes/chain/outputs/boilingPoint

    One setting that reaches it

    Carbon atoms
    5

    Feedback for a right answer

    Pentane, C5H12\mathrm{C_5H_{12}}⁠: it boils at 36 °C, so it is liquid at 20 °C, but evaporates very fast off your palm. From here on the alkanes are liquids, and from about 17 carbons solids, like paraffin wax.

    Feedback for a wrong answer

    Not yet. Look at the sample: gas, liquid or solid?

    Hint

    Butane boils at −0.5 °C. How many degrees does each carbon add?

    Worked solution

    1. An alkane is liquid at 20 °C if its boiling point is above 20 °C.
    2. Butane boils at −0.5 °C: a gas. The next carbon adds about 35 degrees.
    3. Pentane boils at 36 °C: a liquid, and below 40 °C.
    4. Set Carbon atoms to 5.

Lesson 3 of 4 · About 25 minutes

Functional groups

What happens when one hydrogen is swapped for OH or COOH: alcohols and carboxylic acids, hydrogen bonds that send the boiling point leaping, and why ethanol is not a base.

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The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    The hydroxyl group

    Practice · Predict, then look

    Question

    Ethane, C2H6\mathrm{C_2H_6}⁠, is a gas at room temperature. What will happen to the sample when you swap the hydrogen on the end for OH\mathrm{OH}⁠, giving ethanol?

    Correct answer

    • Correct It will become a liquid

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    2fixed
    End group
    –H (alkane)fixed
    Compare boiling points
    One molecule

    Choices

    • Correct It will become a liquid

    • Wrong It will stay a gas: only two atoms were added

      Misconception: Thinks the heavier molecule always boils higher, whatever groups it carries.

      Feedback from the catalogue

      Mass is not the point: what matters is how strongly the molecules pull on each other. Ethanol, C2H5OH\mathrm{C_2H_5OH}⁠ (46 g/mol), and propane, C3H8\mathrm{C_3H_8}⁠ (44 g/mol), have almost the same mass. But ethanol’s OH\mathrm{OH}⁠ makes hydrogen bonds with its neighbours, so it boils at 78 °C, and propane at −42 °C.

    • Wrong It will become a solid, like sodium hydroxide

      Misconception: Thinks the –OH of an alcohol is a hydroxide ion, so alcohols are bases.

      Feedback from the catalogue

      In NaOH\mathrm{NaOH}⁠ the OH−\mathrm{OH^-}⁠ is an ion, which comes free in water and makes the solution basic. In an alcohol the OH\mathrm{OH}⁠ group is joined to a carbon by a covalent bond, and does not come free. So ethanol in water is neutral: a solution of ethanol has a pH of about 7.

    Once the prediction is locked in, the Scene changes

    End group
    –OH (alcohol)fixed

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    Ethanol boils at 78 °C, more than 160 degrees above ethane (−89 °C). The OH\mathrm{OH}⁠ makes a hydrogen bond: its hydrogen is pulled hard towards the oxygen of a neighbouring molecule.

    Worked solution

    1. In ethane only weak van der Waals forces act between the molecules.
    2. In O−H\mathrm{O-H}⁠ the oxygen pulls the electrons, leaving the hydrogen slightly positive.
    3. That hydrogen is pulled hard to a neighbour’s oxygen: a hydrogen bond, much stronger than van der Waals forces.
    4. So the boiling point jumps, and ethanol is a liquid at room temperature.
  2. Step 2 of 5

    Open this step

    The same mass

    Practice · Reach the target

    Question

    Ethanol has a molar mass of 46 g/mol and boils at 78 °C. End group is fixed at alkane. Find, with Carbon atoms, the alkane whose molar mass is closest to ethanol’s, then press Check.

    Goal

    • 46 g/mol ± 2.5 g/mol

      At the start of the step: 16.04 g/mol

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    1
    End group
    –H (alkane)fixed
    Compare boiling points
    One molecule
    Read from the Scene at
    Molar mass of the molecule/nodes/chain/outputs/molarMass

    One setting that reaches it

    Carbon atoms
    3

    Feedback for a right answer

    Propane, 44 g/mol: almost the same mass as ethanol. But propane boils at −42 °C, 120 degrees below ethanol. The whole difference comes from the OH\mathrm{OH}⁠’s hydrogen bonds.

    Feedback for a wrong answer

    Not yet. 14n+2≈4614n + 2 \approx 46⁠.

    Hint

    Each carbon in an alkane adds about 14 g/mol, and methane weighs 16.

    Worked solution

    1. An alkane’s molar mass: 12.01n+1.008 (2n+2)≈14n+212.01n + 1.008\,(2n + 2) \approx 14n + 2⁠.
    2. 14n+2=4614n + 2 = 46⁠ gives n≈3.1n \approx 3.1⁠.
    3. n=3n = 3⁠: propane, 44.1 g/mol.
    4. Set Carbon atoms to 3.
  3. Step 3 of 5

    Open this step

    Ethanol

    Practice · Calculate

    Question

    What is the molar mass of ethanol, C2H5OH\mathrm{C_2H_5OH}⁠? C=12.01\mathrm{C} = 12.01⁠, H=1.008\mathrm{H} = 1.008⁠, O=16.00\mathrm{O} = 16.00⁠.

    Correct answer

    46.07 g/mol ± 0.2 g/mol

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    2fixed
    End group
    –OH (alcohol)fixed
    Compare boiling points
    Side by side
    Accepted within
    ± 0.2 g/mol
    Computed from the Scene at this step’s setting
    Molar mass of the molecule/nodes/chain/outputs/molarMass

    Any unit of the same quantity is accepted; it is converted before checking.

    Wrong answers it recognises

    Feedback for a right answer

    2×12.01+6×1.008+16.00=46.07 g/mol2 \times 12.01 + 6 \times 1.008 + 16.00 = 46.07\ \mathrm{g/mol}⁠.

    Hint

    Count atoms: 2 carbons, 6 hydrogens, one oxygen.

    Worked solution

    1. In C2H5OH\mathrm{C_2H_5OH}⁠: 2 carbons, 5+1=65 + 1 = 6⁠ hydrogens, and one oxygen.
    2. 2×12.01=24.022 \times 12.01 = 24.02⁠; 6×1.008=6.056 \times 1.008 = 6.05⁠; 1×16.00=16.001 \times 16.00 = 16.00⁠.
    3. Total: 24.02+6.05+16.00=46.0724.02 + 6.05 + 16.00 = 46.07⁠.
  4. Step 4 of 5

    Open this step

    Not a base

    Practice · Choose

    Question

    Both sodium hydroxide, NaOH\mathrm{NaOH}⁠, and ethanol, C2H5OH\mathrm{C_2H_5OH}⁠, have OH\mathrm{OH}⁠ in their formula. Is a solution of ethanol in water basic?

    Correct answer

    • Correct No: it is neutral, because the OH\mathrm{OH}⁠ is held to carbon by a covalent bond

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    2
    End group
    –OH (alcohol)
    Compare boiling points
    Side by side

    Choices

    Shown in a random order.

    • Correct No: it is neutral, because the OH\mathrm{OH}⁠ is held to carbon by a covalent bond

    • Wrong Yes: anything with OH\mathrm{OH}⁠ releases hydroxide ions

      Misconception: Thinks the –OH of an alcohol is a hydroxide ion, so alcohols are bases.

      Feedback from the catalogue

      In NaOH\mathrm{NaOH}⁠ the OH−\mathrm{OH^-}⁠ is an ion, which comes free in water and makes the solution basic. In an alcohol the OH\mathrm{OH}⁠ group is joined to a carbon by a covalent bond, and does not come free. So ethanol in water is neutral: a solution of ethanol has a pH of about 7.

    • Wrong No: it is acidic, because the OH\mathrm{OH}⁠ releases H+\mathrm{H^+}⁠

      Feedback

      The hydrogen of ethanol’s OH\mathrm{OH}⁠ is held too tightly to come free in water. An organic acid needs a COOH\mathrm{COOH}⁠ group, where the extra oxygen helps the hydrogen come free.

    Feedback for a right answer

    In NaOH\mathrm{NaOH}⁠ there is an ionic bond between Na+\mathrm{Na^+}⁠ and OH−\mathrm{OH^-}⁠, and they separate in water. In ethanol the OH\mathrm{OH}⁠ is bonded covalently to carbon and stays put. It is a functional group, hydroxyl, not an ion.

    Worked solution

    1. A base releases OH−\mathrm{OH^-}⁠ ions in water.
    2. NaOH\mathrm{NaOH}⁠ is an ionic compound, so its ions separate in water.
    3. In ethanol every bond is covalent, and the OH\mathrm{OH}⁠ does not come free.
    4. So an ethanol solution is neutral.
  5. Step 5 of 5

    Open this step

    Acids

    Practice · Choose

    Question

    Ethanoic acid, CH3COOH\mathrm{CH_3COOH}⁠, boils at 118 °C, and ethanol at 78 °C. Why does the acid boil higher?

    Correct answer

    • Correct The COOH\mathrm{COOH}⁠ group has two oxygens, and two molecules hold together by two hydrogen bonds

    Setup, choices and feedback

    The Scene at this step

    Carbon atoms
    2
    End group
    –COOH (carboxylic acid)
    Compare boiling points
    Side by side

    Choices

    Shown in a random order.

    • Correct The COOH\mathrm{COOH}⁠ group has two oxygens, and two molecules hold together by two hydrogen bonds

    • Wrong Only because it is heavier

      Misconception: Thinks the heavier molecule always boils higher, whatever groups it carries.

      Feedback from the catalogue

      Mass is not the point: what matters is how strongly the molecules pull on each other. Ethanol, C2H5OH\mathrm{C_2H_5OH}⁠ (46 g/mol), and propane, C3H8\mathrm{C_3H_8}⁠ (44 g/mol), have almost the same mass. But ethanol’s OH\mathrm{OH}⁠ makes hydrogen bonds with its neighbours, so it boils at 78 °C, and propane at −42 °C.

    • Wrong The acid splits into ions in the liquid, and ions are hard to boil

      Feedback

      Pure ethanoic acid hardly splits into ions at all; it is a weak acid even in water. What holds it together is hydrogen bonds.

    Feedback for a right answer

    In a carboxylic acid the OH\mathrm{OH}⁠ of one molecule bonds to the C=O\mathrm{C=O}⁠ of the other, and the other way round: two hydrogen bonds hold a pair of molecules as one unit. That lifts the boiling point higher still.

    Worked solution

    1. Ethanol and the acid both have OH\mathrm{OH}⁠, so both make hydrogen bonds.
    2. The acid also has C=O\mathrm{C=O}⁠, an oxygen that takes one more hydrogen bond.
    3. So each two acid molecules hold on to each other by two hydrogen bonds.
    4. A stronger pull between the molecules: a higher boiling point.

Lesson 4 of 4 · About 25 minutes

Polymers

Thousands of monomers in one chain: addition polymerisation, and why a plastic bag stretches and stays long, a rubber band springs back, and a saucepan handle does not melt.

Open the lesson

The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    Monomers

    Practice · Choose

    Question

    Ethene, CH2=CH2\mathrm{CH_2{=}CH_2}⁠, polymerises into poly(ethene). What happens to the double bond?

    Correct answer

    • Correct One of its two bonds opens, and each carbon bonds to a carbon of the next monomer

    Setup, choices and feedback

    The Scene at this step

    Chain length
    60 beads
    Cross-links
    0 %
    Grips
    Hold
    Stretch
    Relaxed

    Choices

    Shown in a random order.

    • Correct One of its two bonds opens, and each carbon bonds to a carbon of the next monomer

    • Wrong It stays, and the monomers join through their hydrogens

      Misconception: Thinks the monomer’s C=C double bond survives in an addition polymer.

      Feedback from the catalogue

      In addition polymerisation the double bond opens: one of the two bonds between the carbons breaks, and each carbon uses the freed electron to bond to the next monomer. So in poly(ethene) every bond along the chain is single, and it is really a very long alkane.

    • Wrong The monomers do not bond: they are only packed together

      Feedback

      A polymer is one long molecule, held together by covalent bonds all along its length. That is why it is so strong.

    Feedback for a right answer

    This is addition polymerisation: thousands of monomers join into one chain, losing no atoms. n CH2=CH2→(−CH2−CH2−)nn\,\mathrm{CH_2{=}CH_2} \rightarrow (\mathrm{-CH_2-CH_2-})_n⁠. What comes out is, in effect, a very long alkane.

    Worked solution

    1. A double bond is two shared pairs of electrons.
    2. In polymerisation one pair opens, leaving each carbon a spare electron.
    3. Each carbon uses it for a single bond to a carbon of a neighbouring monomer.
    4. In the polymer every bond along the chain is single.
  2. Step 2 of 5

    Open this step

    Long chains

    Practice · Calculate

    Question

    One chain of poly(ethene) has a molar mass of 280 000 g/mol. Ethene’s molar mass is 28 g/mol. How many monomers make up the chain?

    Correct answer

    10000 ± 1%

    Setup, choices and feedback

    The Scene at this step

    Chain length
    120 beads
    Cross-links
    0 %
    Grips
    Hold
    Stretch
    Relaxed
    Accepted within
    ± 1%
    A fixed value in the question

    Wrong answers it recognises

    Feedback for a right answer

    280 00028=10 000\dfrac{280\,000}{28} = 10\,000⁠ monomers, and 20 000 carbons in one chain. In the Scene each bead stands for a stretch of tens of monomers.

    Worked solution

    1. In addition polymerisation the chain’s mass is the sum of the monomers’ masses.
    2. Number of monomers: 280 00028\dfrac{280\,000}{28}⁠.
    3. =10 000= 10\,000⁠.
  3. Step 3 of 5

    Open this step

    Thermoplastic

    Practice · Predict, then look

    Question

    The block is long chains with no cross-links: a thermoplastic, like a plastic bag. It is pulled to double its length and let go. What will happen?

    Correct answer

    • Correct It will stay long

    Setup, choices and feedback

    The Scene at this step

    Chain length
    100 beadsfixed
    Cross-links
    0 %fixed
    Grips
    Holdfixed
    Stretch
    Relaxedfixed

    Choices

    • Correct It will stay long

    • Wrong It will spring back to its length, like a rubber band

      Misconception: Thinks a plastic or rubber stretches because the covalent bonds along its chains stretch.

      Feedback from the catalogue

      The covalent bonds along a chain hardly lengthen at all. When rubber is stretched, its coiled chains straighten between the cross-links; when a thermoplastic is stretched, its chains slide past each other. That is why rubber stretches to several times its length with a small force.

    • Wrong It will snap before it reaches double

      Feedback

      Short chains would snap like that, as wax does. Long chains tangle with each other and draw out without breaking.

    Once the prediction is locked in, the Scene changes

    Grips
    Let gofixed
    Stretch
    Pulled to doublefixed

    The Scene then shows: 0.9805 · Stretch kept for good, as a share of the relaxed length (0.5 is half as long again)/nodes/tangle/outputs/kept

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    The chains slid past each other and stayed where they ended up: the block stays almost twice as long. The number after the test is how much of the stretch was kept, as a share of the original length. That is how a plastic bag stretches and does not come back.

    Worked solution

    1. Between the chains of a thermoplastic there are no covalent bonds, only a weak attraction and tangling.
    2. When it is pulled, the chains slide past each other.
    3. When it is let go, nothing pulls them back, and the block stays stretched.
  4. Step 4 of 5

    Open this step

    Rubber

    Practice · Reach the target

    Question

    The block has been pulled to double its length and let go, and it stayed long. Change Cross-links until the block goes all the way back to its original length without breaking, then press Check.

    Goal

    • 0 ± 0.005

      At the start of the step: 0.9805

    • 0 ± 0.1

      At the start of the step: 0

    Setup, choices and feedback

    The Scene at this step

    Chain length
    60 beadsfixed
    Cross-links
    0 %
    Grips
    Let gofixed
    Stretch
    Pulled to doublefixed
    Read from the Scene at
    Stretch kept for good, as a share of the relaxed length (0.5 is half as long again)/nodes/tangle/outputs/kept
    Read from the Scene at
    1 once the block has broken, else 0/nodes/tangle/outputs/broken

    One setting that reaches it

    Cross-links
    0.5 %

    Feedback for a right answer

    A few cross-links per hundred beads turn the thermoplastic into a rubber: the chains cannot slide, only straighten between the tie points, and when they are let go they coil up again. That is what vulcanising rubber with sulfur does.

    Feedback for a wrong answer

    Not yet. With no cross-links the chains slide; with too many, the block cracks.

    Hint

    A few cross-links hold the chains together; too many make the block stiff and brittle.

    Worked solution

    1. With no cross-links the chains slide and do not come back.
    2. With a few cross-links, 0.5% to 5%, they are tied into a loose network that returns to its shape.
    3. From 5.5% on the network is too tight and tears before it reaches double length; at 10% it cracks within a few percent.
    4. Set Cross-links to 2%, for example.
  5. Step 5 of 5

    Open this step

    Thermoset

    Practice · Choose

    Question

    A saucepan handle is made of a thermoset: a block with many cross-links. What will happen to it if it gets very hot?

    Correct answer

    • Correct It will not soften; in extreme heat it will char

    Setup, choices and feedback

    The Scene at this step

    Chain length
    60 beads
    Cross-links
    10 %
    Grips
    Hold
    Stretch
    0.3 (Relaxed → Pulled to double)

    Choices

    Shown in a random order.

    • Correct It will not soften; in extreme heat it will char

    • Wrong It will soften and melt, like any plastic

      Misconception: Thinks every plastic softens and melts when heated.

      Feedback from the catalogue

      Only thermoplastics, whose chains are separate, melt: with heat the chains slide past each other. In a thermoset the chains are tied to each other by covalent cross-links into one network, and no amount of heat makes them slide. Heated hard enough, a thermoset chars and burns, but it does not melt.

    • Wrong It will turn flexible like rubber

      Feedback

      Rubber is flexible because it has few cross-links. A thermoset has so many that the chains cannot even straighten, and heat does not change that.

    Feedback for a right answer

    In a thermoset all the chains are tied into one network by covalent bonds. To melt, the chains would have to slide past each other, which means breaking those bonds, at a heat where the material is already falling apart. That is why handles, electric sockets and strong glues are made of thermosets, and why they cannot be recycled by melting.

    Worked solution

    1. A plastic melts when its chains slide past each other.
    2. In a thermoset the chains are tied by covalent cross-links, and cannot slide.
    3. So it does not soften with heat; hot enough, its bonds break, and it chars.

Across the unit · 7 misconceptions

Misconception catalogue

Each common mistake this unit recognises, in a few words. Open one for what the learner reads when an answer matches it, and where it is asked.

  • Writes an alkane as CₙH₂ₙ, forgetting the extra hydrogen at each end of the chain.

    The learner reads

    In an alkane each carbon in the middle of the chain has two hydrogens, but the two carbons at the ends have one more each, since they have only one carbon neighbour. So the formula is CnH2n+2\mathrm{C_nH_{2n+2}}⁠: hexane has 14 hydrogens, not 12. CnH2n\mathrm{C_nH_{2n}}⁠ is the formula of alkenes, which have a double bond.

  • Thinks boiling breaks the covalent bonds inside the molecules.

    The learner reads

    When a liquid boils, the molecules come apart from each other, but each molecule stays whole. The covalent bonds inside a molecule are tens of times stronger than the pull between molecules, and breaking them takes hundreds of degrees more. Hexane vapour is whole hexane molecules. The boiling point measures the attraction between molecules.

  • Thinks the heavier molecule always boils higher, whatever groups it carries.

    The learner reads

    Mass is not the point: what matters is how strongly the molecules pull on each other. Ethanol, C2H5OH\mathrm{C_2H_5OH}⁠ (46 g/mol), and propane, C3H8\mathrm{C_3H_8}⁠ (44 g/mol), have almost the same mass. But ethanol’s OH\mathrm{OH}⁠ makes hydrogen bonds with its neighbours, so it boils at 78 °C, and propane at −42 °C.

  • Thinks the –OH of an alcohol is a hydroxide ion, so alcohols are bases.

    The learner reads

    In NaOH\mathrm{NaOH}⁠ the OH−\mathrm{OH^-}⁠ is an ion, which comes free in water and makes the solution basic. In an alcohol the OH\mathrm{OH}⁠ group is joined to a carbon by a covalent bond, and does not come free. So ethanol in water is neutral: a solution of ethanol has a pH of about 7.

  • Thinks the monomer’s C=C double bond survives in an addition polymer.

    The learner reads

    In addition polymerisation the double bond opens: one of the two bonds between the carbons breaks, and each carbon uses the freed electron to bond to the next monomer. So in poly(ethene) every bond along the chain is single, and it is really a very long alkane.

  • Thinks every plastic softens and melts when heated.

    The learner reads

    Only thermoplastics, whose chains are separate, melt: with heat the chains slide past each other. In a thermoset the chains are tied to each other by covalent cross-links into one network, and no amount of heat makes them slide. Heated hard enough, a thermoset chars and burns, but it does not melt.

  • Thinks a plastic or rubber stretches because the covalent bonds along its chains stretch.

    The learner reads

    The covalent bonds along a chain hardly lengthen at all. When rubber is stretched, its coiled chains straighten between the cross-links; when a thermoplastic is stretched, its chains slide past each other. That is why rubber stretches to several times its length with a small force.

Index