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Will 2.5 volts be enough to heat a small segment of NiChrome wire up to/over 100 C? If it helps, the power is coming from a 8.1 kJ 2.5v 2600 F super capacitor which can unload very quickly.

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2.5 Volts, into 1.4 Ohm, is 2.5^2/1.4 W, or 4.4W., or 4.4J/sec. That will last a fair time - 2600 J/ 4.4 J/sec= 590 seconds, or 10 seconds shy of 10 minutes.

How HOT it will get is complicated, but if you assume its completely lossless - you can work out how long it will take to warm up, if you know the thermal mass, which is the mass x specific heat capacity, and you assume a rise in temperature of 100 C then Joules needed = mass x SHC x 100.

Steve

8cm length of nichrome wire 20 mm and 100 degree Celsius temp required

Should be quite achievable in energy terms, if I read the wire gauge right it'd be ~1.4 ohm per metre, giving you 0.014 ohm for 1cm.
But that means you'd need to limit current or it'll get too hot very quickly (or will it? for a single-use ignition it'd work)
Maybe some constant-current supply, but at low voltage I don't know.

L

That makes a difference. You're really asking about heating water then -
How much water?

L

No, I'm not asking about heating water, I need the actual wire to get hot, but not above 100 C. The water is just there as a coolant for it to not exceed 100 C.

Water has a high heat-capacity, in terms of how hot things get with current water makes a big difference.
What's it for?

L

I also want to make homemade plastic sealer for kitchen with 8cm nichrome wire having resistance of 15 ohms total including switch and connecting wires etc but can't able to find the result by using 9v battries

Any body can draw a circuit diagram with 9v of plastic sealer

It depends how thick the wire is.

depends on the resistance = amps = watts = energy, which can be used to determine the temperature change of a given weight of wire at a certain heat capacity.

ohms law