The pressure of air in the bulb of a constant volume gas thermometer is 73 cmHg at 0°C, 100.3 cmHg at 100°C and 77.8 cmHg at room temperature. Find…

JAMB Physics 2024 80 views
Source: JAMB · 2024

The pressure of air in the bulb of a constant volume gas thermometer is 73 cmHg at 0°C, 100.3 cmHg at 100°C and 77.8 cmHg at room temperature. Find the room temperature in centigrades.

  1. 32°C
  2. 17°C ✓
  3. 26°C
  4. 14°C
Explanation

For a constant volume gas thermometer, temperature is proportional to the rise in pressure above the ice-point value:

θ = (Pθ − P₀) ÷ (P₁₀₀ − P₀) × 100°C.

θ = (77.8 − 73) ÷ (100.3 − 73) × 100 = 4.8 ÷ 27.3 × 100 ≈ 17.6°C.

The closest option is 17°C.

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