Curve Water

question on the heating curve of water?
If 2 times the water warms (assuming that the rate of heat reamins it), then how is the heating curve change? If the same amount of water is heated, but the energy is added to 2 times the rate then how will the change of the curve? / Thanks !!!!!!!! (In response to the first answer:) That's what I thought, but would not change the boiling point of water? Or simply accelerate the process? And then what this curve look like?
Think about it. For the first question, which is doubling the amount of water, so the time to heat water (a constant heating temperature and speed) doubles. On the other hand, doubling the rate, but keep the amount of water constant, time to heat half of the water.
