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

by davidray
Tags: heat capacity, thermal
 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!
 HW Helper P: 4,190 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.

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