Mass of water given only power and density

[cheekyhouidini]

Homework Statement

This is apart of a larger thermodynamics question surrounding the speed of vapour leaving a kettle but I am stuck on this part. The question is as below:
Water boils in a kettle. The power absorbed by the water is 1 kW and steam escapes
through a spout of cross-sectional area 2 cm2
. Assuming the pressure of the vapour
in the kettle equals atmospheric pressure (101 kPa) and the steam can be treated
as an ideal gas
The first question is how much energy is absorbed by the water in one second? and the second which i am stuck on is: given the density of water (1000kg/m3), how much water is boiled in one second?

Any help would be greatly appreciated, cheers :)

Relevant Equations

Density= 1000kg/m3 , Power= 1kW

Cannot figure out where to start, apart from maybe something to do with specific heat capacity of water?

 

[haruspex]

Homework Statement:: This is apart of a larger thermodynamics question surrounding the speed of vapour leaving a kettle but I am stuck on this part. The question is as below:
Water boils in a kettle. The power absorbed by the water is 1 kW and steam escapes
through a spout of cross-sectional area 2 cm2
. Assuming the pressure of the vapour
in the kettle equals atmospheric pressure (101 kPa) and the steam can be treated
as an ideal gas
The first question is how much energy is absorbed by the water in one second? and the second which i am stuck on is: given the density of water (1000kg/m3), how much water is boiled in one second?

Any help would be greatly appreciated, cheers :)
Relevant Equations:: Density= 1000kg/m3 , Power= 1kW

Cannot figure out where to start, apart from maybe something to do with specific heat capacity of water?

Given that the vapour pressure is 1atm, what do you think the temperature of the water is? What is the 1kW achieving?