- #1

c = 0.20 + 0.14T + 0.023T

^{2}

the units for T is temperature in Celsius and c is measured in cal/gK.

2.0 g of the material was to be raised from 5.0 Celsius to 15.0 Celsius.

I did not have any difficulty solving the problem, as it was a fairly easy integral. I am just very uncomfortable that my first instinct was to convert the temperature to Kelvin. Why is this incorrect? If I stay in Celsius, I get an answer of 82 cal, but if I convert temperature to Kelvin (which I want to do because of the units of the specific heat) I get an answer of 38 kcal...which is very wrong.

I always pay attention to the units I am working in to make sure everything works out correctly, but in this case it is not reasonable to do so and this is very unsettling to me. Could someone please explain why this is the case?

Thank you in advance for any answers.