The Celsius scale of temperature can be converted to Fahrenheit scale using the relationship , where and are temperature recorded in degrees Fahrenheit and Celsius, respectively. Ajay noted down the temperature of a chemical reaction as degrees Fahrenheit but reported it as degrees Celsius by mistake. If this led to a recording of the temperature that was 144% higher than the actual temperature in Celsius scale, then equals ___
The Celsius scale of temperature can be converted to Fahrenheit scale using the relationship , where and are temperature recorded in degrees Fahrenheit and Celsius, respectively. Ajay noted down the temperature of a chemical reaction as degrees Fahrenheit but reported it as degrees Celsius by mistake. If this led to a recording of the temperature that was 144% higher than the actual temperature in Celsius scale, then equals ___
Entered answer:
Solution
The actual temperature was °F.
Converting to Celsius using :
This is the actual temperature in Celsius.
Ajay mistakenly reported the temperature as °C instead of °F.
The reported value is 144% higher than the actual Celsius value, meaning the reported value is of the actual value .
Multiply both sides by :
Verification:
Actual temperature °F °C
Reported temperature °C
Percentage higher ✅