Which temperature is the same in °C and °F? Show your answer by a calculation.
Answers
Explanation:
The Fahrenheit and Celsius scales have one point at which they intersect. They are equal at -40 °C and -40 °F.
AnswerWe can calculate the temperature from this relation i.e °F = 32 +1.8°C°F = degree fahernheit°C =degree CelsiusThere are 3 scales to measure temperature i.e kelvin scale, centigrade scale and Fahrenheit scale. We calculate the temperature by using two points (Boiling point and freezing point of water) we take water as reference because water is an standard fluid.Water boils at temperatures=100°C, 373.15K, 212°F and water freezes at =0°C, 273.15K, 32°F100-°C/100–0 =212-°F/212–32NOTE - In this formula 100=boiling point of water in °C and 0° is freezing temperature of water in °C and same goes for 212 and 32 but for Fahrenheit scale. And after simplifying this formula we get our desired formula°F =32 +1.8°C now we have to calculate which temperature has equal value in Celsius and Fahrenheit. So let that temperature be xx = 32 +1.8xNow solving this simple equation we get the value of x =-40°Therefore it means at - 40° both Fahrenheit and Celsius scale will show same reading
hope this will help you Ami