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Question

At what temperature are Celsius and Fahrenheit equal?


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Solution

Explanation,

  1. There are two important temperature scales, Celsius and Fahrenheit used in the world.
  2. There is a point on both scales where the temperatures in degrees are equal.
  3. This is -40°C and -40°F.

Celsius and Fahrenheit,

  1. Celsius is directly proportional to Fahrenheit.
  2. This says that with the increase in the temperature on the Celsius scale, its Fahrenheit temperature equivalent temperature will also rise.
  3. When the temperature on the Celsius scale decreases, its Fahrenheit temperature equivalent temperature will also be low.
  4. Multiply the °C temperature by 1.8 Add 32 to this number. This is the answer in °F
  5. The Celsius freezing point of water is 0°Cand its boiling point is 100°C
  6. 100°C-0°C=100°C between water's freezing and boiling points.
  7. Conversion of Celsius to Fahrenheit is F=95C+32
  8. Conversion from Fahrenheit to Celsius is:C=59(F-32)

Step 1: Given

Both celcius and fahrenheit have same temperature.

Let the temperature = x

Step 2: Formula used.

  1. The formula as given is C100=(F32)(180)

Step 3: Calculation

  1. We want to know the point at which the temperatures are the same, so let's call that temperature x :

or,x100=(x32)(180)

or,x=100(x32)180

or,x=50(x32)90

or,x=5×(x32)9

or,x=5x5×329

or,x=5x9(5×32)9

or,x=5x91609

or,9x=5x160

or,9x5x=160

4x=160x=-40

Hence, at -40°C and -40°F temperature are Celsius and Fahrenheit equal.


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