Need Help Calculating Energy Required to Raise Magnesium Temp

  • Thread starter Thread starter davidray
  • Start date Start date
  • Tags Tags
    Energy Magnesium
Click For Summary
SUMMARY

This discussion focuses on calculating the energy required to raise the temperature of magnesium using the temperature-dependent molar specific heat capacity formula: c = a + 2bT - cT^-2. For magnesium, the constants are a = 25.7, b = 3.13 x 10^-3, and c = 3.27 x 10^5 J/K·mol. The energy can be calculated using the average specific heat capacity over the temperature range and the formula E = m C_avg (Tf - Ti). Additionally, the discussion includes a scenario involving a 15mm thick concrete slab with an electric underfloor heater, requiring calculations for temperature changes based on heat transfer output of 41.62 W/m².

PREREQUISITES
  • Understanding of specific heat capacity and its calculation
  • Familiarity with integral calculus for averaging functions
  • Knowledge of heat transfer principles and equations
  • Basic thermodynamics concepts related to temperature changes
NEXT STEPS
  • Learn how to calculate average specific heat capacity using integrals
  • Study heat transfer equations relevant to concrete and insulation
  • Explore the effects of temperature on specific heat capacity for various materials
  • Investigate the design and efficiency of electric underfloor heating systems
USEFUL FOR

Students and professionals in chemistry, physics, and engineering fields, particularly those involved in thermal energy calculations and heating system design.

davidray
Messages
7
Reaction score
0
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!
 
Physics news on Phys.org


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

C_avg = \frac{1}{Tf-To}\int\frac{To}{Tf}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
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
4K
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
3
Views
2K
Replies
1
Views
8K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K