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Class 10 Science Chapter 4: Carbon and its Compounds case study question with answers

One case-based question of the kind the board asks in Section E: a passage and a table, then 3 parts worth 4 marks in all, with the answer and the marking scheme for each. Written from the NCERT chapter.

Case study · 4 marks
A class looked up data for the first four members of a series of hydrocarbons, all of which are gases at room temperature. Butane is the main gas in a cooking-gas cylinder, and methane is the main gas in bio-gas. The students noticed that every compound in the table burns in air with a clean flame and reacts with chlorine in sunlight in the same way, although their boiling points are very different.
CompoundFormulaMolecular mass (u)Boiling point (K)
MethaneCH₄16112
EthaneC₂H₆30185
PropaneC₃H₈44231
ButaneC₄H₁₀58273
Part 1 · 1 mark
The next member of the series after butane has the formula and molecular mass
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Answer: (a) C₅H₁₂, 72 u

The series is CₙH₂ₙ₊₂; n = 5 gives C₅H₁₂, and adding –CH₂– (14 u) to 58 u gives 72 u. C₆H₁₄ is two steps on.

Part 2 · 1 mark
On a winter night in Gulmarg the temperature falls to 268 K. Which of the four would be a liquid at that temperature (at normal pressure)?
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Answer: (d) butane

Only butane has a boiling point (273 K) above 268 K, so only butane condenses; the other three boil far below 268 K and stay gases.

Part 3 · 2 marks
Using the table, explain why the boiling points rise steadily from methane to butane while the chemical behaviour of the four stays the same.
Answer and marking scheme

The four form a homologous series: each differs from the next by –CH₂– (14 u). As molecular mass increases along the series, the boiling point increases. Their chemical properties are similar because all have the same kind of structure, saturated chains with only single bonds, and in a homologous series chemical properties stay similar while physical ones change gradually.

  • boiling point rises with molecular mass along the homologous series (14 u steps) (1)
  • same kind of compound (saturated, same series), so chemical properties stay similar (1)
Or
Write balanced equations for (i) the complete combustion of the first compound in the table, and (ii) its first reaction with chlorine in sunlight.
Answer and marking scheme

(i) CH₄ + 2O₂ → CO₂ + 2H₂O + heat and light. (ii) CH₄ + Cl₂ → CH₃Cl + HCl (in sunlight).

  • (i) CH₄ + 2O₂ → CO₂ + 2H₂O, balanced (1)
  • (ii) CH₄ + Cl₂ → CH₃Cl + HCl, with sunlight (1)
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