Question

An outdoor thermometer showed a temperature of -10oC. What was the temperature in degrees Fahrenheit?

Answer 1

Hint: The temperature of the atmosphere can be measured using a thermometer. The temperature of the atmosphere can be expressed in both Fahrenheit (F) or degree Celsius ($^{o}C$ ). The relationship between Fahrenheit (F) or degree Celsius ($^{o}C$ ) is as follows.
\[F=\dfrac{9}{5}C+32\]
Here F = Temperature in Fahrenheit
C = Temperature in degree Celsius

Complete step by step answer:
- In the question it is given that a thermometer showed a temperature of -10$^{o}C$ and asked to calculate the temperature -10$^{o}C$ in degree Fahrenheit.
- The relationship between Fahrenheit (F) or degree Celsius ($^{o}C$ ) is as follows.
\[F=\dfrac{9}{5}C+32\]
Here F = Temperature of the system in Fahrenheit
C = Temperature of the system in degree Celsius
- In the question it is given that the temperature is degree Celsius.
- Substitute the given value of temperature in degree Celsius in the above formula to get the temperature in degree Fahrenheit.
\[\begin{align}
  & F=\dfrac{9}{5}C+32 \\
 & F=\dfrac{9}{5}(-10)+32 \\
 & F=-18+32 \\
 & F=14F \\
\end{align}\]
- Therefore the -10$^{o}C$ temperature which showed in the thermometer is equal to 14F (Fahrenheit).

Note:
Celsius in temperature scale is also expressed as centigrade temperature scale. Degree Celsius is directly proportional to degree Fahrenheit. If temperature of a system increases then both degree Celsius and Fahrenheit will increase automatically because they are directly proportional to each other. If temperature decreases then degree Celsius scale and Fahrenheit scale both will decrease. The freezing point of water is 0$^{o}C$ and boiling point of water is 100 $^{o}C$.