Register to reply

Specific heat capacity varies with temperature.

by necromanzer52
Tags: capacity, heat, specific, temperature, varies
Share this thread:
Dec7-11, 05:22 PM
P: 12
1. The problem statement, all variables and given/known data
Heating a .8 kg disk of iron from 20 C to 400 C, but the specific heat capacity changes from 456 at 20 C, to 615 at 400 C. It hints that I'm supposed to find the average to solve the equation.

2. Relevant equations
E = mC(dT)

3. The attempt at a solution
I have a strong feeling, that I'm supposed to use calculus to solve this, but I can't think of any equations to differentiate, or how it would be, in any way, useful.

I've also thought about plotting the specific heat capacity against kelvin, and using the specific heat capacity at the midpoint (483.15k)
Phys.Org News Partner Science news on
Suddenly, the sun is eerily quiet: Where did the sunspots go?
'Moral victories' might spare you from losing again
Mammoth and mastodon behavior was less roam, more stay at home
Dec7-11, 05:33 PM
P: 226
Just a hint

dE = m d(CT)
dE = m (CdT + TdC) (product rule)

Integrate both sides and find the answer.

Register to reply

Related Discussions
Energy required for temperature raise - temperature-dependent specific heat capacity Advanced Physics Homework 3
Energy required for temperature raise - temperature-dependent specific heat capacity Introductory Physics Homework 1
Specific heat capacity and temperature General Physics 11
Heat and Internal Energy and Heat and Temperature Change: Specific Heat Capacity Advanced Physics Homework 4
Specific Heat Capacity & Temperature Introductory Physics Homework 3