Question

The boiling point of water is 212∘F. In degrees Celsius, how much heat do I have to add to boil water that is already 194∘F? Use the formula C = 59(F − 32), where C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit.

Answer 1

Answer:

You need to add 10 °C of heat.

Step-by-step explanation:

To find the quantity of heat in Celsius first we need to convert the units:

212 °F to °C (boiling point):

$C_{1} = \frac{5}{9}(F - 32) = \frac{5}{9}(212 - 32) = 100 ^{\circ} C$    (1)

194 °F to °C:

$C_{2} = \frac{5}{9}(F - 32) = \frac{5}{9}(194 - 32) = 90 ^{\circ} C$    (2)

Now we can find the quantity of heat that must be added by substrating equation (2) from (1):

$\Delta C = C_{1} - C_{2} = 100 ^{\circ}C - 90 ^{\circ}C = 10^{\circ} C$

Therefore, you need to add 10 °C of heat to boil water that is 90 °C.    

I hope it helps you!