How to Calculate Temperature & Time of Heating Element

[blazerman]

Heating Wire having the following Data :
SWG 16(1.63mm)
Specific Resistivity = 1.45 ohms-mm-3
Density = 7.1 gm-cm-3
Resistance = 0.685 ohms/Meter
Weight = 15 Gram/Meter

(a)Please help me in this Project to Build Heating Element using the above wire for Making 2.5 KiloWatt heating Element
(b)Please help me in this Project to Build Heating Element using the above wire for Making 3.5 KiloWatt heating Element

Take ambient & room temperature as 35 degree Centrigrade.
How to Calculate the following :
(a)Please state the formula for Calculating Temperature Raised in 1 hour ?
or alternately What would be temperature of heating element after Heating Element heated for 1 Hour?

(b)Please State the Formula for Calculating, How Many Calories of Heat in generated in 1 hour?
(c)Say if the Temperature is raised till (i)800 degree Centigrade what would be the Kilowatt generated & in what time this Temperature would be raised?

(c)Say if the Temperature is raised till (ii)1000 degree Centigrade what would be the Kilowatt generated & in what time this Temperature would be raised?

Please state the explanation using formulas.
ThankX in Advance
Awaiting your valued Calculations

 

[edmondng]

what have you done yourself?

thanks in advance

 

[piercas]

(a) The formula for calculating the temperature raised in 1 hour is:
Temperature Raised = (Power x Time)/(Weight x Specific Heat x Density)

Where, Power = 2.5 kW or 3.5 kW (depending on the project)
Time = 1 hour
Weight = 15 grams/meter
Specific Heat = 1.45 ohms-mm-3
Density = 7.1 gm-cm-3

(b) The formula for calculating the heat generated in 1 hour is:
Heat Generated = (Power x Time)/(Resistance)

Where, Power = 2.5 kW or 3.5 kW (depending on the project)
Time = 1 hour
Resistance = 0.685 ohms/meter

(c)(i) To raise the temperature to 800 degrees Celsius, the formula for calculating the time would be:
Time = (Temperature Raised x Weight x Specific Heat x Density)/(Power)

Where, Temperature Raised = 800 degrees Celsius
Weight = 15 grams/meter
Specific Heat = 1.45 ohms-mm-3
Density = 7.1 gm-cm-3
Power = 2.5 kW or 3.5 kW (depending on the project)

(c)(ii) To raise the temperature to 1000 degrees Celsius, the formula for calculating the time would be:
Time = (Temperature Raised x Weight x Specific Heat x Density)/(Power)

Where, Temperature Raised = 1000 degrees Celsius
Weight = 15 grams/meter
Specific Heat = 1.45 ohms-mm-3
Density = 7.1 gm-cm-3
Power = 2.5 kW or 3.5 kW (depending on the project)

The explanation for these formulas is based on the principles of heat transfer and electrical resistance. The power of the heating element, along with the time it is heated, will determine the temperature raised and the heat generated. The weight, specific heat, and density of the heating wire are also important factors in these calculations as they affect the amount of heat that can be generated and the rate at which it is transferred. As the temperature increases, the resistance of the wire also increases, which can affect the power and time needed to reach a certain temperature. By using these formulas, you can determine the appropriate power and time needed to achieve your desired temperature and heat output for your project. However, it is important to note that these