2. Temperature Scales An Investigation

3. Temperature Scales The two main scales used for measuring temperature are the Fahrenheit and the Celsius scales. Some commonly-used temperatures are shown in the table below as they would be shown on those scales. FahrenheitCelsius Boiling point of water is 212°F100°C Blood heat is98.6°F37°C Freezing point of water is 32°F0°C

4. Letting C = aF + b, form two equations using some of the information in the table and find ‘a’ and ‘b’. Using this formula or otherwise, can you determine:- a) At what temperature do both scales read the same? b) At what temperature is the Fahrenheit reading 100° more than the Centigrade reading? c) At what temperature is the Fahrenheit reading double the centigrade reading?

5. Solution The connection as everyone knows is that. a) Both scales read the same if which solves to give F = -40°. b) When is C = F – 100, when, which solves to give F=233°. c) When is F double C, when, which solves to give F=320°. Pupils may choose to use a trial and improvement technique to answer the above questions.