How to Calculate Temperature & Time of Heating Element

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To calculate the temperature and time for a heating element using a SWG 16 wire with specific resistivity and resistance values, the power output can be determined using the formula P = V²/R, where P is power in watts, V is voltage, and R is resistance. For a 2.5 kW heating element, the required voltage can be calculated, and similarly for a 3.5 kW element. The temperature rise can be estimated using the formula ΔT = (P × t) / (m × c), where ΔT is the temperature change, P is power, t is time in seconds, m is mass, and c is specific heat capacity. The heat generated in calories can be calculated using Q = P × t, converting watts to calories as needed. The time to reach specific temperatures, such as 800°C or 1000°C, can be derived from the power output and the mass of the wire.
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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
 
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