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Express -40 ºF in to Celsius scale.

Heat and Temperature - Notes and Solution
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Convert -40 ºF in to Celsius scale.


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Solution:

Here, temperature at Fahrenheit scale (F) = -40 ºF,

the temperature at Celsius scale (C) =?

From the temperature transformation formula we have,

\(\frac{C-0}{100}=\frac{F-32}{180}\)

Or, \(\frac{C-0}{100}=\frac{-40-32}{180}\)

Or, \(C=\frac{-72}{180}\times100\)

∴ C = -40ºC

Hence -40 ºC = -40 ºF

There is no special reason for this same value in different scales. It is a mere coincidence. Based on the definitions of the Fahrenheit scale and the Celsius scale -40ºF = -40ºC.

Things to remember from Heat
  • Heat is the sum of the molecular kinetic energy of a body.
  • The degree of hotness of a body is called temperature.
  • Heat always flows from a body having a higher temperature to a body having a lower temperature.
  • Heat is a cause whereas temperature is an effect.
  • An instrument that is used to measure the temperature of a body is called a thermometer.
  • In general, two scales are used in thermometer, celsius, and Fahrenheit.
  • The thermometer used to measure the temperature of the human body is called a clinical thermometer.
  • The thermometer used in the laboratory is that liquid expands of heating and contracts on cooling.
  • Conversion relation of degree Celcius and degree Fahrenheit is (C-0)/100 = (F-32)/180
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