Question

When a temperature of a pot in a kiln is 1 , 200 ∘ 1,200∘f, an artist turns off the heat and leaves the pot to cool at a controlled rate of 81 ∘ 81∘f per hour. express the temperature of the pot in degrees celsius as a function of the time t t (in hours) since the kiln was turned off?

Answer 1

First, we need to convert Fahrenheit to Celsius. We can use following formula:

`T_c=(5\cdot (T_f-32))/(9)`
When we do the conversion we get:

`T_0=648.9 ^\circ C`

`\Delta T=27.2(^\circ C)/(h)`
We know that after t hours temperature will drop by
`\Delta T\cdot t`.
With this in mind we can write the equation:

`T(t)=T_0-\Delta T\cdot t=648.9-27.7t`