At what temperature do the Celsius and Fahrenheit scales read the same?

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PREVIOUSLY ASKED IN:
WBPSC Miscellaneous Preliminary 2019

Answer

-40°

Explanation

The Celsius and Fahrenheit temperature scales read exactly the same value at -40 degrees. This can be derived from the temperature conversion formula: C/5 = (F - 32)/9. If we set both C and F to the same unknown variable 'x', the equation becomes x/5 = (x - 32)/9. Solving for x yields 9x = 5x - 160, which simplifies to 4x = -160, resulting in x = -40. Thus, -40°C is equivalent to -40°F.

Key Points

  • > The freezing point of water is 0°C or 32°F.
  • > The boiling point of water under standard atmospheric pressure is 100°C or 212°F.
  • > Normal human body temperature is approximately 37°C or 98.6°F.
  • > Absolute zero, the lowest possible temperature, is -273.15°C or 0 Kelvin (0 K).
  • > The SI unit for temperature is the Kelvin (K).

Additional Information

Temperature Scale Comparisons

Temperature PointCelsius (°C)Fahrenheit (°F)Kelvin (K)
Boiling point of water100°212°373.15
Normal Body Temp37°98.6°310.15
Freezing point of water32°273.15
Equal Reading Point-40°-40°233.15
Absolute Zero-273.15°-459.67°0

Memory Tips

  • Minus Forty: -40° is the magic number where both commonly used scales (Celsius and Fahrenheit) intersect and show the exact same numerical reading.
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