Question

How many degrees Celsius will be equal to 1 degree Fahrenheit?

Answer 1

Hint: In this question, we have to find the degree Celsius which will be equal to one degree Fahrenheit. As we know that one degree Celsius is equal to 33.8 degree Fahrenheit. We will use some comparing equations to find the value of degree Celsius which is equal to one degree Fahrenheit.

Complete step-by-step answer:
Let us suppose \[F\] is temperature in Fahrenheit and \[C\] is the temperature in Celsius, we get,
\[\dfrac{{F - 32}}{{180}} = \dfrac{{C - 0}}{{100}}\]
Which can be simplify by reducing the denominator, we get,
\[\dfrac{{F - 32}}{9} = \dfrac{{C - 0}}{5}\]
Now, for 1 degree Fahrenheit, \[F = 1\],
\[
  \dfrac{C}{5} = \dfrac{{1 - 32}}{9} \\
  \,\,\,\,\,\, = - \dfrac{{31}}{9} \\
 \]
Now , shifting all the terms to right hand side except C in order to find the temperature in degree Celsius, we get,
\[
  C = \dfrac{{\left( { - 31} \right) \times 5}}{9} \\
  \,\,\,\,\, = - \dfrac{{155}}{9} \\
  \,\,\,\,\, = - 17.22 \\
 \]
Hence, we can conclude that, \[ - 17.22\] degrees Celsius will be equal to 1 degree Fahrenheit?

Additional information:
Celsius and Fahrenheit are the units which are used to measure temperature. Temperature is a physical quantity which expresses hot and cold. Temperature is used to measure degree of hotness and degree of coldness of the surrounding or a substance. Kelvin is also used as a unit to measure temperature. Celsius is having 100 degrees between the freezing and boiling point, whereas Fahrenheit is having 180 degrees between these two points. One degree Celsius will be 1.8 times larger than one degree Fahrenheit.

Note: Students should memorize the formula for comparison and calculation of temperatures in degree Celsius and degree Fahrenheit. Students should use the sign conventions carefully and properly while solving the problem.