‹ Class 10 · Ch 4
Carbon and its Compounds · Principle 21 of 45

General formula of alkenes

CₙH₂ₙ.

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NCERT: 4.2.4 Homologous Series

Think

A pattern in the formulae

Ethene is C₂H₄. The next members of the series are C₃H₆, C₄H₈ and C₅H₁₀.

Look at the numbers of hydrogen atoms: 4, 6, 8 and 10. How do they compare with the numbers of carbon atoms: 2, 3, 4 and 5?

What this lesson covers

The idea

The general formula of alkenes is CnH2n, where n = 2, 3, 4 … is the number of carbon atoms; ethene is the first member.

A pattern in the formulae

Ethene is C₂H₄. The next members of the series are C₃H₆, C₄H₈ and C₅H₁₀.

Look at the numbers of hydrogen atoms: 4, 6, 8 and 10. How do they compare with the numbers of carbon atoms: 2, 3, 4 and 5?

  • Hydrogen atoms are twice the carbon atoms
  • Hydrogen atoms are the same as the carbon atoms
  • Hydrogen atoms are one more than the carbon atoms

Ethene and its relatives

Open every tab.

One formula for the whole family

Put n carbon atoms in place of 2, 3, 4 and so on, and the number of hydrogen atoms is 2n.

The general formula of alkenes is CₙH₂ₙ, where n = 2, 3, 4 … is the number of carbon atoms; ethene is the first member.

  • n | Formula
  • 2 | C₂H₄ (ethene)
  • 3 | C₃H₆
  • 4 | C₄H₈
  • 5 | C₅H₁₀

Notes

The general formula of alkenes is CₙH₂ₙ, where n = 2, 3, 4 … is the number of carbon atoms. Ethene is the first member.

Check yourself

An alkene has 5 carbon atoms. How many hydrogen atoms does it have?

Answer: 10

CₙH₂ₙ with n = 5 gives 2 × 5 = 10 hydrogen atoms: C₅H₁₀.

An alkene has 12 hydrogen atoms. How many carbon atoms does it have?

Answer: 6

H = 2n, so n = 12 ÷ 2 = 6 carbon atoms: C₆H₁₂.

Which alkene is the first member of the series?

Which formula fits CₙH₂ₙ for n = 4?

  • Propene, C₃H₆. Propene has n = 3. The series begins with n = 2, which is ethene.
  • Ethene, C₂H₄ — correct. Yes!
  • Methane, CH₄. Methane is an alkane with only single bonds. The alkene series begins with ethene.
  • C₄H₁₀. C₄H₁₀ has 10 hydrogen atoms, but 2n = 8 for n = 4.
  • C₄H₄. C₄H₄ has 4 hydrogen atoms, but 2n = 8 for n = 4.
  • C₄H₈ — correct. Yes!
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