
Convert the following degree Celsius temperature to degree Fahrenheit.
(A) $ {\text{40}}{{\text{ }}^{\text{0}}}{\text{C}} $
(B) $ {\text{30}}{{\text{ }}^{\text{0}}}{\text{C}} $
Answer
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Hint: Celsius and Fahrenheit are two units of temperature and the Celsius temperature scale was initially created to start from zero which was the temperature at which water freezes. The Fahrenheit scale starts from $ {\text{3}}{{\text{2}}^{{\text{ 0}}}}{\text{F}} $ which is equivalent to the zero degree Celsius.
Formula Used: $ {\text{F = }}\dfrac{9}{5}{\text{C + 32}} $
Complete step by step solution
For, $ {\text{40}}{{\text{ }}^{\text{0}}}{\text{C}} $ , the temperature in the Fahrenheit scale is equal to:
$ {\text{F = }}\left( {\dfrac{{{9}}}{{\text{5}}}{{ \times 40}}} \right){\text{ + 32 = 10}}{{\text{4}}^{\text{0}}}{\text{F}} $
Therefore, $ {\text{40}}{{\text{ }}^{\text{0}}}{\text{C}} $ in the Fahrenheit scale is equal to $ {\text{104}}{{\text{ }}^{\text{0}}}{\text{F}} $
For, $ {\text{30}}{{\text{ }}^{\text{0}}}{\text{C}} $ , the temperature in the Fahrenheit scale is equal to:
$ {\text{F = }}\left( {\dfrac{{\text{9}}}{{\text{5}}}{{ \times 30}}} \right){\text{ + 32 = 8}}{{\text{6}}^{\text{0}}}{\text{F}} $
Therefore, $ {\text{30}}{{\text{ }}^{\text{0}}}{\text{C}} $ in the Fahrenheit scale is equal to $ {\text{86}}{{\text{ }}^{\text{0}}}{\text{F}} $ .
Note
The highest temperature in the range of the Celsius scale is $ {\text{100}}{{\text{ }}^{\text{0}}}{\text{C}} $ while the highest temperature in the range of the Fahrenheit scale is $ {\text{212}}{{\text{ }}^{\text{0}}}{\text{F}} $ . The normal body temperature is equal to $ {\text{37}}{{\text{ }}^{\text{0}}}{\text{C}} $ which is equal to $ {\text{98}}{\text{.6}}{{\text{ }}^{\text{0}}}{\text{F}} $ . Besides these two scales there is yet another scale for measurement of the temperature which is called the “Kelvin Scale”. The Kelvin scale ranges from $ {\text{0 K}} $ which is equivalent to $ - {\text{273}}{{\text{ }}^{\text{0}}}{\text{C}} $ .
The kelvin scale of temperature is named after the Belfast-born Glasgow University engineer and physicist William Thomson, 1st Baron Kelvin. This scale fulfils Thomson’s requirement as an absolute thermodynamic temperature scale and it uses absolute zero as its null point. Unlike the Fahrenheit and the Celsius, the Kelvin scale is not mentioned or referred to as a degree. The kelvin is the primary unit for the measurement of temperature in both Physics and Chemistry.
Formula Used: $ {\text{F = }}\dfrac{9}{5}{\text{C + 32}} $
Complete step by step solution
For, $ {\text{40}}{{\text{ }}^{\text{0}}}{\text{C}} $ , the temperature in the Fahrenheit scale is equal to:
$ {\text{F = }}\left( {\dfrac{{{9}}}{{\text{5}}}{{ \times 40}}} \right){\text{ + 32 = 10}}{{\text{4}}^{\text{0}}}{\text{F}} $
Therefore, $ {\text{40}}{{\text{ }}^{\text{0}}}{\text{C}} $ in the Fahrenheit scale is equal to $ {\text{104}}{{\text{ }}^{\text{0}}}{\text{F}} $
For, $ {\text{30}}{{\text{ }}^{\text{0}}}{\text{C}} $ , the temperature in the Fahrenheit scale is equal to:
$ {\text{F = }}\left( {\dfrac{{\text{9}}}{{\text{5}}}{{ \times 30}}} \right){\text{ + 32 = 8}}{{\text{6}}^{\text{0}}}{\text{F}} $
Therefore, $ {\text{30}}{{\text{ }}^{\text{0}}}{\text{C}} $ in the Fahrenheit scale is equal to $ {\text{86}}{{\text{ }}^{\text{0}}}{\text{F}} $ .
Note
The highest temperature in the range of the Celsius scale is $ {\text{100}}{{\text{ }}^{\text{0}}}{\text{C}} $ while the highest temperature in the range of the Fahrenheit scale is $ {\text{212}}{{\text{ }}^{\text{0}}}{\text{F}} $ . The normal body temperature is equal to $ {\text{37}}{{\text{ }}^{\text{0}}}{\text{C}} $ which is equal to $ {\text{98}}{\text{.6}}{{\text{ }}^{\text{0}}}{\text{F}} $ . Besides these two scales there is yet another scale for measurement of the temperature which is called the “Kelvin Scale”. The Kelvin scale ranges from $ {\text{0 K}} $ which is equivalent to $ - {\text{273}}{{\text{ }}^{\text{0}}}{\text{C}} $ .
The kelvin scale of temperature is named after the Belfast-born Glasgow University engineer and physicist William Thomson, 1st Baron Kelvin. This scale fulfils Thomson’s requirement as an absolute thermodynamic temperature scale and it uses absolute zero as its null point. Unlike the Fahrenheit and the Celsius, the Kelvin scale is not mentioned or referred to as a degree. The kelvin is the primary unit for the measurement of temperature in both Physics and Chemistry.
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