Question

How do you convert $105^\circ $ Fahrenheit into Celsius?

Answer 1

Hint: We need to know that Fahrenheit and Celsius are the two scales for measuring temperatures. Thermometers measure temperature according to well-defined scales of measurement. The three most common temperature scales are Fahrenheit, Celsius, and Kelvin.

Complete answer:
On the Celsius scale, the freezing point of water is \[0^\circ C\] and the boiling point is \[100^\circ C\]. The unit of temperature on this scale is the degree Celsius (\[C\]). The Fahrenheit has the freezing point of water at \[32^\circ F\] and the boiling point at \[100^\circ F\].Its unit is the degree Fahrenheit (\[F\]).Temperature scales are created by identifying two reproducible temperatures. The freezing and boiling temperatures of water at standard atmospheric pressure are commonly used. The Kelvin scale is part of the SI system of units, so its actual definition is more complicated than the one given above. First, it is not defined in terms of the freezing and boiling points of water, but in terms of the triple point. The triple point is the unique combination of temperature and pressure at which ice, liquid water, and water vapor can coexist stably.
\[Tc = (Tf - 32) \times \dfrac{5}{9}\]
Now we can substitute the given values we get,
\[{T_C} = (105 - 32) \times \dfrac{5}{9}\]
On simplification we get,
\[{T_C} = 40.56C\]
The definition of temperature in terms of molecular motion suggests that there should be a lowest possible temperature, where the average kinetic energy of molecules is zero (or the minimum allowed by quantum mechanics).

Note:
We need to know that temperature scales are created by identifying two reproducible temperatures. The freezing and boiling temperatures of water at standard atmospheric pressure are commonly used. Experiments confirm the existence of such a temperature, called absolute zero. An absolute temperature scale is one whose zero point is absolute zero.