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1). You don't mean 'power'. You mean 'energy'.

'Power' is the rate at which the you pump the energy into the water. You can put it in fast (high power),

or you can put it in slow (low power). The total amount of energy it takes will be the same either way,

but it'll take longer at low power.

You don't pay the electric company for power (kilowatts). You pay them for energy (kilowatt-hours).

2). The answer to the water-boiling question completely depends on the starting temperature of the water.

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Q: How much electrical power does it take to boil 1 gallon of water?
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