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Question: This expression, \(1.8C + 32\) , shows how to convert from degree Celsius to degree Fahrenheit, wher...

This expression, 1.8C+321.8C + 32 , shows how to convert from degree Celsius to degree Fahrenheit, where C represents the temperature in degree Celsius. What is the temperature in degrees Fahrenheit when the temperature is 250C{25^0}C ?

Explanation

Solution

Temperature of a system is the average kinetic energy of molecules contained in that system. Temperature is usually expressed in degree Celsius, Kelvin or Fahrenheit scales.

Complete step by step answer:
Degree Celsius and Fahrenheit scales are two most commonly used methods to express temperature. Both are widely used in our daily life. Hence we should be known about the conversion of temperature between degree Celsius and Fahrenheit scales. The expression used to convert the temperature in degree Celsius to Fahrenheit is given in the question. We can write it as,
F=1.8C+32F = 1.8C + 32
Where F is the temperature in degree Fahrenheit and C is the temperature in degree Celsius.
We need to convert 250C{25^0}C into Fahrenheit scale. For that, let us substitute 2525 in the place of C to the above equation. We get,
F=1.8×25+32=770FF = 1.8 \times 25 + 32 = 77{}^0F

Hence the temperature in degree Fahrenheit corresponding to the temperature 250C{25^0}C is 770F77{}^0F .

Additional information:
Fahrenheit scale is proposed by Daniel Gabriel Fahrenheit in 17241724 . Water freezes at 320F32{}^0F and boils at 2120F212{}^0F . In Celsius scale, water freezes at 00C0{}^0C and boils at 1000C100{}^0C . The basis of Celsius scale is the freezing point and boiling point of water.

Note: The degree Celsius scale and Fahrenheit scale intercept at 400 - {40^0} . Below this value, temperature in Fahrenheit is smaller than that in degree Celsius and after this value temperature in Fahrenheit is higher than that in degree Celsius.