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Roughly 4200 seconds, since the specific heat of water is around 4.2J/gK (ie it takes 4.2 joules to raise 1 gram by 1 Kelvin); 1 litre = 1000 grams, 1 Celcius (centigrade) = 1K, 1W = 1J/s.
Since watt is a unit of power (how fast energy is transferred), you can do this with almost any amount of power - as little or as much as you want, depending on how fast you want to heat the water. The time it takes will depend on the initial temperature, the amount of water, and the power.
It takes 1000 calories to heat 1 litre of water 1 degree C.
The volume of 1 liter of water is 1 liter.
100 calories. 1 calorie is defined as the amount of energy required to raise the temperature of 1 gram of 1 by 1 degree Celsius. So, if you need to raise 10 grams of water 1 degree, you would need 10 calories of energy. If you needed to raise those same 10 gram by 10 degrees, you'll need 10 * 10, or 100 calories.