WAEC 2023 Physics · Question 13

The specific latent heat of vapourization of lead is 8.7 × 105Jkg110^5 Jkg_1. This means that 8.7 × 10510^5 J of thermal energy is required to change

Options

  1. A.a given mass of molten lead to vapour at constant temperature and pressure.
  2. B.1 kg of molten lead to vapour at constant temperature and pressure.
  3. C.1 kg of solid lead to vapour at constant temperature and pressure.
  4. D.1 kg of molten lead to vapour for every degree rise in temperature.

Answer: B. 1 kg of molten lead to vapour at constant temperature and pressure.

Explanation written with AI and checked against the answer key

Analyze the question: The question asks what it means physically for lead to have a specific latent heat of vaporization of 8.7 × 10⁵ J/kg.

Concept: Specific latent heat of vaporization is the quantity of heat energy required to change 1 kg of a substance from liquid to vapour (gas) at constant temperature (its boiling point), without a change in temperature.

Formula: Q = mL, so L = Q/m, with units J/kg.

Solution: Take each option in turn:

  • A. "A given mass" is too vague. Specific latent heat refers to a unit mass (1 kg), so A is wrong.
  • B. 1 kg of molten (liquid) lead changing to vapour at constant temperature and pressure. This matches the definition exactly, so B is correct.
  • C. It starts from solid lead. Going from solid to vapour would involve melting first (and the latent heat of fusion), so C is wrong.
  • D. "For every degree rise in temperature" describes specific heat capacity, not latent heat. During a change of state the temperature stays constant, so D is wrong.

Here 8.7 × 10⁵ J is needed to turn 1 kg of liquid lead into vapour at its boiling point, which is what B says.

Answer: B

Exam tip: Remember the difference this way:

  • Specific heat capacity is energy per kg per degree (J/kg·K), and the temperature changes.
  • Specific latent heat is energy per kg (J/kg), and the temperature stays constant during the change of state.

If you see "1 kg" and "constant temperature" together, it's latent heat. Watch the starting state too: vaporization starts from liquid, fusion starts from solid.

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