Need Help Calculating Energy Required to Raise Magnesium Temp

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Homework Help Overview

The discussion revolves around calculating the energy required to raise the temperature of magnesium using its temperature-dependent molar specific heat capacity. The original poster presents a specific problem involving the heating of 15g of magnesium from 30°C to 300°C, referencing the specific heat capacity formula and constants for magnesium.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the specific heat capacity formula but expresses confusion over the results. One participant suggests finding the average specific heat over the temperature range and then calculating the energy required using that average.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the calculation of average specific heat, but there is no consensus on the best method to proceed.

Contextual Notes

The original poster indicates difficulty in finding relevant information in their notes or textbooks, which may affect their ability to engage fully with the problem. There are also additional unrelated questions about heat transfer in concrete slabs that may distract from the main topic.

davidray
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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!
 
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You can find the average value of the specific heat over the temperature range from:

C_avg = [itex]\frac{1}{Tf-To}[/itex][itex]\int[/itex][itex]\frac{To}{Tf}[/itex]C(T) dt

Then compute the energy from:

E = m C_avg (Tf - Ti)
 


any help for the following qestion will be appriciated

15mm thick concrete slab have an electric underfloor heater running in off peak time and release storage heat during day time then how much time its to reduce temp. from 23.5 at6:00am to 21 degree and with the variable outside temp. during day.outside temp is 8 degree and reuire temp. 19 at 6:00am and heat transfer output is 41.62w/m2

and how much time its to increse the temp during running off peak time
 


apatel said:
any help for the following qestion will be appriciated

15mm thick concrete slab have an electric underfloor heater running in off peak time and release storage heat during day time then how much time its to reduce temp. from 23.5 at6:00am to 21 degree and with the variable outside temp. during day.outside temp is 8 degree and reuire temp. 19 at 6:00am and heat transfer output is 41.62w/m2

and how much time its to increse the temp during running off peak time
reply with the equation
 

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