Question

Convert $77^\circ F$ into degree Celsius.

Answer 1

We can recall the formula for conversion. We can use 77 degrees as the temperature in Fahrenheit. Temperature in Celsius is equal to temperature in Fahrenheit minus 32, all multiplied by 5 over 9.

Formula used: In this solution we will be using the following formulae;
${T_C} = \dfrac{5}{9}\left( {{T_F} - 32} \right)$ where ${T_C}$ is the temperature in degree Celsius, and ${T_F}$ is the temperature in Fahrenheit.

Complete Step-by-Step solution:
To solve the above, all that is required is to recall the conversion formula, and replace the temperature given in Fahrenheit given in the proper place.
Generally, the temperature in degree Celsius is equal to the temperature in Fahrenheit minus 32, all multiplied by 5 over 9. This can be mathematically written as
${T_C} = \dfrac{5}{9}\left( {{T_F} - 32} \right)$ where ${T_C}$ is the temperature in degree Celsius, and ${T_F}$ is the temperature in Fahrenheit.
We are told to convert 77 degree Fahrenheit into Celsius. To do this we simply replace the number 77 with the variable ${T_F}$ .
Hence, we have
${T_C} = \dfrac{5}{9}\left( {77 - 32} \right)$
Which we then compute as
${T_C} = \dfrac{5}{9}\left( {45} \right) = 27.2^\circ C$ .

Note:
As seen, one should note that due to the factor 5 over 9. The temperature (or range of temperature) of a substance given in degree Fahrenheit has a totally different scale from that of the substance whose temperature (or range of temperature) is specified in degree Celsius. What is meant is that, the difference between 10 degree Fahrenheit and 0 degree Fahrenheit is not the same as the difference between 10 degree Celsius and 0 degree Celsius. The Fahrenheit scale increases faster. This is in contrast to kelvin and degree Celsius scales where the scale has the differences.