Question

A solution is to be kept between \[{40^0}C\] and \[{45^0}C\]. What is the range of temperature in degrees Fahrenheit, if the conversion formula is F=?

Answer 1

Hint: The temperature can be expressed in different units. These different units were discovered by different scientists and the discovered unit was named on their names. Some of the different units were Celsius, Fahrenheit and kelvin. The temperature can be converted from one unit to another by mathematical relations.

Complete answer:
Solution is a homogeneous mixture consisting of solute and solvent. The temperature of the solution can be expressed in different units.
Given that a solution is kept between \[{40^0}C\] and \[{45^0}C\], it means the solution has a certain temperature and is expressed in Celsius units.
Fahrenheit is also one of the units to express the temperature of a solution, the Celsius temperature and Fahrenheit temperature are related by the following relation:
\[F = \dfrac{9}{5}C + 32\]
The Value of c can be written as
\[C = \dfrac{{5F - 160}}{9}\]
Given that the temperature of the solution is kept between \[{40^0}C\] and \[{45^0}C\].
Thus, the temperature of the solution lies in between
\[40 < C < 45\]
Substitute the value of \[C\] in terms of \[F\]
\[40 < \dfrac{{5F - 160}}{9} < 45\]
By multiplying the above equation with \[9\], we will get
\[360 < 5F - 160 < 405\]
By adding \[160\] and dividing with \[5\] to the above equation, we will get
\[104 < F < 113\]
Thus, the range of \[{40^0}C\] and \[{45^0}C\] will be \[{104^0}F\]to \[{113^0}F\].

Note:
The human temperature in Celsius will be equal to \[{36^0}C\] and in Fahrenheit scale it will be equal to \[{98.6^0}F\]. Generally, human body temperature measures in mercury thermometers will be in Fahrenheit. Kelvin is also the unit to express temperature, but is mostly used in the chemical process change.