Under the same heating conditions same power element same volume etc can water be heated to 100 degree's C faster at 2 bar pressure than at 1 bar or does it take the same time?
It takes the same time. However, at a pressure of 2 bar (higher
pressure), the water will not boil at 100oC. This is because
boiling occurs at that temperature for which the saturated vapour
pressure of the liquid is equal to external pressure. Since the
external pressure has been increased, a higher temperature is
required to make the vapour pressure of the liquid become equal to
the external pressure. Hence, the boiling point increases.