Energy required for temperature raise - temperature-dependent specific heat capacity


by davidray
Tags: heat capacity, thermal
davidray
davidray is offline
#1
Oct17-11, 06:03 AM
P: 7
Any help on this quistion would be greatly appreciated. I have no idea ho to answere it, and can't find anything in my nothes or books anywhere.

The temperature-dependent molar specific heat capacity at constant pressure of many substances is given by: c =a+2bT−cT^−2

For magnesium, the numerical values of the constants are: a=25.7, b=3.13x10^-3, c=3.27x10^5

where c has units J/Kxmol

Calculate the energy required to raise the temperature of 15g of Megnesium from 30 C to 300 C.

I have tried using the formula to qenerate a specific heat capacity for each temperature, but just seem to get crazy numbers that don't make any sense!

Thanks for the help!
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
NascentOxygen
NascentOxygen is online now
#2
Oct17-11, 06:21 AM
HW Helper
P: 4,707
When S.H is a constant, c, then energy=c x delta T

which looks like what you'd get from integral of c from T1 to T2

So try integral of c from T1 to T2 where c is a function of T.


Register to reply

Related Discussions
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
Energy required to raise temperature. Classical Physics 13