Question

Heat capacity of a substance is given by C = 800 – 1600T + 25T^2, where T is temperature in degree Fahrenheit, what is the heat capacity if temperature is in degree Celsius?

(a) 81T^2 + 24800

(b) 81T^2 – 24800

(c) 25T^2 + 24800

(d) 25T^2 – 24800

I have been asked this question in an international level competition.

My question is taken from Temperature in division Temperature and Pressure of Basic Chemical Engineering

Answer 1

Right option is (b) 81T^2 – 24800

To elaborate: Temperature in degree Fahrenheit, TF = (9/5)TC + 32, replacing TF in C, => C = 81T^2 – 24800.