Question

An orange loses 1.2 kJ of heat as it cools per °C drop in its temperature. What is the amount of heat loss from the orange per °F drop in its temperature?

Answer 1

To solve this problem we will apply the conversion rate between Celcius and Fahrenheit degrees. We will use the direct relationship clearly and not the added degrees of scale conversion. We know from the statement that the orange loses heat at the rate of

$Q = 1.2kJ/\°C$

We have the conversion to °F is given as

$T (\°F) = 1.8T+32$

Calculate the amount of heat loss from orange per °F

$Q = \frac{1.2}{1.8}$

$Q = 0.667kJ/\°F$

Therefore the amount of heat loss from the orange per °F drop in its temperature is 0.667kJ/°F