FAA Airline Transport Pilot (ATM)Meteorology and Weather ServicesHard

At 2100 local time, the temperature is 20°C and the dew point is 14°C. Skies are clear with calm winds, and the dew point spread has been narrowing at a steady rate of 2°C per hour since sunset. Assuming this trend continues, approximately how many hours after 2100 should the pilot expect fog to begin forming?

  1. A4 hours
  2. B1 hour
  3. C3 hours
  4. D2 hours
Show answer & explanation

Correct answer: C. 3 hours

The current dew point spread is 20°C − 14°C = 6°C. Fog tends to form when the spread approaches 0°C (temperature and dew point converge). At a narrowing rate of 2°C per hour, it will take 6 ÷ 2 = 3 hours for the spread to reach zero, so fog should be expected approximately 3 hours after 2100 (around 0000 local).

Why the other options are wrong

  • A. 4 hours would overshoot convergence, closing 8°C when only 6°C exists.
  • B. 1 hour would only close a 2°C spread, not the actual 6°C spread present.
  • D. 2 hours closes only 4°C of the 6°C spread, leaving a 2°C gap remaining.

Dew Point Spread and Fog Formation

The temperature/dew point spread narrows as the air cools at night; fog is likely to form when temperature and dew point converge (spread approaches 0°C) under clear, calm conditions.

  • Radiation fog favored by clear skies, calm wind, and narrow/narrowing spread
  • Spread = temperature minus dew point
  • Rate of narrowing can be used to estimate time until fog onset

Memory trick: 'Spread hits zero, fog hits the field' — track convergence rate to predict fog

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