At s.t.p, a mole of chlorine occupies 22.4dm³. If the temperature is changed to 35°C and the pressure to 750mHg the of the new volume will be

Source: JAMB · 2024

At s.t.p, a mole of chlorine occupies 22.4dm³. If the temperature is changed to 35°C and the pressure to 750mHg the of the new volume will be

  1. 24.61dm³
  2. 27.61dm³
  3. 25.61dm³ ✓
  4. 21.61dm³
Explanation

Use the combined gas law. At s.t.p., V₁ = 22.4 dm³, T₁ = 273 K, P₁ = 760 mmHg. New values: T₂ = 35 + 273 = 308 K, P₂ = 750 mmHg.

V₂ = V₁ × (P₁/P₂) × (T₂/T₁) = 22.4 × (760/750) × (308/273).

= 22.4 × 1.0133 × 1.1282 ≈ 25.61 dm³. The gas expands because the temperature is higher and the pressure is slightly lower.

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